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  • 1.
    Yamalova, Diana
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Hybrid observers for systems with intrinsic pulse-modulated feedback2017Licentiate thesis, comprehensive summary (Other academic)
    Abstract [en]

    This licentiate thesis deals with a special class of hybrid systems, where the continuous linear part is controlled by an intrinsic impulsive feedback that contributes discrete dynamics. The impacting pulsatile feedback signal is not available for measurement and, therefore, has to be reconstructed. To estimate all the elements of the hybrid state vector, an observation problem is considered.

    The motivation for the research performed in this thesis comes from mathematical modelling of pulsatile endocrine regulation, where one of the hormones (a releasing hormone) is secreted in pulses from neurons in the hypothalamus of the brain. Thus a direct measurement of the concentration of this hormone in the human is not possible for ethical reasons and has to be estimated.

    Several hybrid observer structures are proposed and evaluated. The observer design is reduced to a problem of synchronizing the impulsive sequence produced by the observer with that of the plant. It utilizes a local approach of assigning, through the output error feedback in both the discrete and continuous parts of the plant model, a guaranteed convergence rate to the local dynamics of a synchronous mode. Performance of the proposed observer schemes is analyzed by means of pointwise discrete (Poincaré) maps.

    The first two papers of the thesis address the effects of observer design degrees of freedom on the convergence of the hybrid state estimation error. A generalization of the proposed observation scheme to hybrid impulsive systems with a time delay in continuous part of the plant is investigated in Paper III and Paper IV.

    List of papers
    1. Design degrees of freedom in a hybrid observer for a continuous plant under an intrinsic pulse-modulated feedback
    Open this publication in new window or tab >>Design degrees of freedom in a hybrid observer for a continuous plant under an intrinsic pulse-modulated feedback
    2015 (English)Conference paper, Published paper (Refereed)
    Series
    IFAC-PapersOnLine ; 48:11
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-315992 (URN)10.1016/j.ifacol.2015.09.337 (DOI)
    Conference
    MICNON 2015, June 24–26, Saint Petersburg, Russia
    Available from: 2015-09-27 Created: 2017-02-23 Last updated: 2017-02-23Bibliographically approved
    2. Design of a hybrid observer for an oscillator with an intrinsic pulse-modulated feedback
    Open this publication in new window or tab >>Design of a hybrid observer for an oscillator with an intrinsic pulse-modulated feedback
    2017 (English)In: Proc. American Control Conference: ACC 2017, American Automatic Control Council , 2017, p. 1175-1180Conference paper, Published paper (Refereed)
    Place, publisher, year, edition, pages
    American Automatic Control Council, 2017
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-316001 (URN)10.23919/ACC.2017.7963112 (DOI)000427033301037 ()978-1-5090-5992-8 (ISBN)
    Conference
    ACC 2017, May 24–26, Seattle, WA
    Available from: 2017-07-03 Created: 2017-02-23 Last updated: 2018-08-02Bibliographically approved
    3. Finite-dimensional hybrid observer for delayed impulsive model of testosterone regulation
    Open this publication in new window or tab >>Finite-dimensional hybrid observer for delayed impulsive model of testosterone regulation
    2015 (English)In: Mathematical problems in engineering (Print), ISSN 1024-123X, E-ISSN 1563-5147, Vol. 2015, p. 190463:1-12, article id 190463Article in journal (Refereed) Published
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-270002 (URN)10.1155/2015/190463 (DOI)000365229600001 ()
    Available from: 2015-12-19 Created: 2015-12-19 Last updated: 2019-04-25Bibliographically approved
    4. Hybrid state observer for time-delay systems under intrinsic impulsive feedback
    Open this publication in new window or tab >>Hybrid state observer for time-delay systems under intrinsic impulsive feedback
    2014 (English)In: Proc. 21st International Symposium on Mathematical Theory of Networks and Systems, The Netherlands: University of Groningen , 2014, p. 977-984Conference paper, Published paper (Refereed)
    Place, publisher, year, edition, pages
    The Netherlands: University of Groningen, 2014
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-315989 (URN)978-90-367-6321-9 (ISBN)
    Conference
    MTNS 2014, July 7–11, Groningen, The Netherlands
    Available from: 2014-07-11 Created: 2017-02-23 Last updated: 2019-04-25Bibliographically approved
  • 2.
    Yamalova, Diana
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Hybrid observers for systems with intrinsic pulse-modulated feedback2019Doctoral thesis, comprehensive summary (Other academic)
    Abstract [en]

    Dynamical processes resulting from the interaction of continuous and discrete dynamics are often encountered in living organisms. Time evolutions of such processes constitute continuous variables that are subject to instant changes at discrete points of time. Usually, these discrete events cannot be observed directly and have to be reconstructed from the accessible for measurement continuous variables.

    Thus, the problem of hybrid state estimation from measurements of continuous outputs is important to and naturally arises in life sciences but, so far, scarcely covered in the existing literature.

    This thesis deals with a special class of hybrid systems, where the continuous linear part is controlled by an intrinsic impulsive feedback that contributes discrete dynamics. The impacting pulsatile feedback signal is not available for measurement and, therefore, has to be reconstructed. To estimate all the elements of the hybrid state vector, an observation problem is considered.

    The focus of the work is on a state observation problem for an analytically tractable example of a hybrid oscillator with rich nonlinear dynamics including, e.g., monostable and bistable high-periodic and quasiperiodic solutions as well as deterministic chaos. At the same time, the three-dimensional case of the considered hybrid oscillator constitutes a mathematical model of testosterone regulation in the male validated through system identification on human endocrine data. In a pulsatile endocrine regulation loop, one of the hormones (releasing hormone) is secreted in pulses from neurons in the hypothalamus of the brain. Thus a direct measurement of the concentration of this hormone in the human is not possible for ethical reasons and it has to be estimated in some manner from the available data, for instance by applying an observer.

    It is desirable for an observer to guarantee asymptotic convergence of the state estimate to that of the observable plant from all feasible initial conditions at a highest possible rate. When the state estimation error is zero, the hybrid observer is in a synchronous mode characterized by the firings of the impulses in the observer feedback and those of the plant occurring simultaneously.

    Therefore, the observer design problem can be formulated as synchronization of the plant states with those of the observer. This approach does not formally demand observability of the hybrid plant solution. Further, since the dynamics of the oscillator are highly nonlinear, the state estimation problem is considered with respect to particular solutions of the observed system, whose characteristics are assumed to be known, but not the initial conditions. The observer design problem for the impulsive Goodwin's oscillator consists of the selection of the observer structure and of assigning desired properties to a discrete map that captures the observer state transitions from one impulse firing to another through manipulating the degrees of freedom of the observer. 

    List of papers
    1. Bifurcation analysis for non-local design of a hybrid observer for the impulsive Goodwin's oscillator
    Open this publication in new window or tab >>Bifurcation analysis for non-local design of a hybrid observer for the impulsive Goodwin's oscillator
    2019 (English)In: Article in journal (Other academic) Submitted
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-382411 (URN)
    Available from: 2019-04-25 Created: 2019-04-25 Last updated: 2019-05-07Bibliographically approved
    2. Hybrid observer with finite-memory output error correction for linear systems under intrinsic impulsive feedback
    Open this publication in new window or tab >>Hybrid observer with finite-memory output error correction for linear systems under intrinsic impulsive feedback
    2019 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836Article in journal (Other academic) Submitted
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-382412 (URN)
    Available from: 2019-04-25 Created: 2019-04-25 Last updated: 2019-05-07Bibliographically approved
    3. Robustification of the synchronous mode in a hybrid observer for a continuous system under an intrinsic pulse-modulated feedback
    Open this publication in new window or tab >>Robustification of the synchronous mode in a hybrid observer for a continuous system under an intrinsic pulse-modulated feedback
    2018 (English)In: Proc. 16th European Control Conference, IEEE, 2018, p. 107-112Conference paper, Published paper (Refereed)
    Place, publisher, year, edition, pages
    IEEE, 2018
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-354827 (URN)10.23919/ECC.2018.8550264 (DOI)000467725300018 ()978-3-9524-2698-2 (ISBN)
    Conference
    ECC 2018, June 12–15, Limassol, Cyprus
    Available from: 2018-11-29 Created: 2018-06-22 Last updated: 2019-06-19Bibliographically approved
    4. Hybrid observers for an impulsive Goodwin’s oscillator subject to continuous exogenous signals
    Open this publication in new window or tab >>Hybrid observers for an impulsive Goodwin’s oscillator subject to continuous exogenous signals
    2017 (English)In: 2017 IEEE 56Th Annual Conference on Decision and Control (Cdc), Piscataway, NJ: IEEE, 2017, p. 2396-2401Conference paper, Published paper (Refereed)
    Abstract [en]

    This paper deals with the state estimation problemin an impulsive model of Goodwin’s oscillator forced by acontinuous exogenous signal. The continuous linear part of themodel is controlled by an intrinsic impulsive feedback thatcontributes discrete dynamics to the closed-loop system. Theimpacting pulsatile feedback signal is not available for mea-surement and, therefore, has to be reconstructed. To estimateall the elements of the hybrid state vector, an observationproblem is considered. Two hybrid observer structures areproposed and evaluated: one based on reconstructing both thestates of the Goodwin’s oscillator and those of the exogenoussystem and another assuming that the exogenous signal, or afunction of it, is known. The observer design is reduced to aproblem of synchronizing the impulsive sequence produced bythe observer with that of the plant. It utilizes a local approach ofassigning a guaranteed convergence rate to the local dynamicsof a synchronous mode through output error feedback. Thedynamics of the proposed observer schemes are analyzed bymeans of pointwise discrete (Poincar ́e) maps and illustrated bynumerical simulation for a case of bistability in the oscillator.

    Place, publisher, year, edition, pages
    Piscataway, NJ: IEEE, 2017
    Series
    Proceedings / IEEE Conference on Decision and Control, ISSN 0743-1546
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-342163 (URN)10.1109/CDC.2017.8264000 (DOI)000424696902052 ()978-1-5090-2873-3 (ISBN)
    Conference
    CDC 2017, IEEE 56:th Annual Conference on Decision and Control, December 12–15,2017, Melbourne, Australia
    Funder
    Swedish Research Council, 2015-05256
    Available from: 2018-01-23 Created: 2018-02-19 Last updated: 2019-04-25Bibliographically approved
    5. Attractivity of the synchronous mode in hybrid observers for the impulsive Goodwin's oscillator subject to harmonic exogenous excitation
    Open this publication in new window or tab >>Attractivity of the synchronous mode in hybrid observers for the impulsive Goodwin's oscillator subject to harmonic exogenous excitation
    2019 (English)In: Proc. American Control Conference: ACC 2019, American Automatic Control Council , 2019Conference paper, Published paper (Refereed)
    Place, publisher, year, edition, pages
    American Automatic Control Council, 2019
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-382413 (URN)
    Conference
    ACC 2019, July 10–12, Philadelphia, PA
    Note

    to appear

    Available from: 2019-04-25 Created: 2019-04-25 Last updated: 2019-05-07Bibliographically approved
    6. Finite-dimensional hybrid observer for delayed impulsive model of testosterone regulation
    Open this publication in new window or tab >>Finite-dimensional hybrid observer for delayed impulsive model of testosterone regulation
    2015 (English)In: Mathematical problems in engineering (Print), ISSN 1024-123X, E-ISSN 1563-5147, Vol. 2015, p. 190463:1-12, article id 190463Article in journal (Refereed) Published
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-270002 (URN)10.1155/2015/190463 (DOI)000365229600001 ()
    Available from: 2015-12-19 Created: 2015-12-19 Last updated: 2019-04-25Bibliographically approved
    7. Hybrid state observer for time-delay systems under intrinsic impulsive feedback
    Open this publication in new window or tab >>Hybrid state observer for time-delay systems under intrinsic impulsive feedback
    2014 (English)In: Proc. 21st International Symposium on Mathematical Theory of Networks and Systems, The Netherlands: University of Groningen , 2014, p. 977-984Conference paper, Published paper (Refereed)
    Place, publisher, year, edition, pages
    The Netherlands: University of Groningen, 2014
    National Category
    Control Engineering
    Identifiers
    urn:nbn:se:uu:diva-315989 (URN)978-90-367-6321-9 (ISBN)
    Conference
    MTNS 2014, July 7–11, Groningen, The Netherlands
    Available from: 2014-07-11 Created: 2017-02-23 Last updated: 2019-04-25Bibliographically approved
  • 3.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Churilov, Alexander
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Design degrees of freedom in a hybrid observer for a continuous plant under an intrinsic pulse-modulated feedback2015Conference paper (Refereed)
  • 4.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Churilov, Alexander
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Finite-dimensional hybrid observer for delayed impulsive model of testosterone regulation2015In: Mathematical problems in engineering (Print), ISSN 1024-123X, E-ISSN 1563-5147, Vol. 2015, p. 190463:1-12, article id 190463Article in journal (Refereed)
  • 5.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control. St. Petersburg State University, Faculty of Mathematics and Mechanics, St. Petersburg, Russia.
    Churilov, Alexander
    St. Petersburg State University, Faculty of Mathematics and Mechanics, St. Petersburg, Russia.
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Hybrid Observer for an Intrinsic Impulsive Feedback System2017In: IFAC-PapersOnLine, ISSN 1045-0823, E-ISSN 1797-318X, Vol. 50, no 1, p. 4570-4575Article in journal (Refereed)
    Abstract [en]

    This paper deals with continuous plants subject to intrinsic pulse-modulated feedback, thus exhibiting hybrid closed-loop dynamics. The system structure implements a hybrid oscillator and arises in living organisms, e.g. when episodically firing neurons control the production of hormones in endocrine glands. Hybrid observers reconstructing both the continuous and discrete states of the hybrid plant from only continuous measured outputs are considered. They excel over the existing solutions through the introduction of two co-ordinated feedbacks of the output estimation error: one correcting the continuous state estimates and another adjusting the discrete ones. Different types of the feedback operator to the discrete estimates are analyzed. The observer design problem is reduced to synchronization of the observer solution with that of the plant. The synchronous mode of the observer is rendered locally stable by the selection of the feedback gains. Numerical illustration of the design procedure and observer performance with respect to a pulse-modulated model of testosterone regulation is provided.

  • 6.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Churilov, Alexander
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Hybrid state observer for time-delay systems under intrinsic impulsive feedback2014In: Proc. 21st International Symposium on Mathematical Theory of Networks and Systems, The Netherlands: University of Groningen , 2014, p. 977-984Conference paper (Refereed)
  • 7.
    Yamalova, Diana
    et al.
    Saint Petersburg State University, Saint Petersburg, Russia.
    Churilov, Alexander
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Hybrid state observer with modulated correction for periodic systems under intrinsic impulsive feedback2013Conference paper (Refereed)
    Abstract [en]

    A new observer structure for hybrid systems comprised of a linear time-invariant subsystem and immeasurable (intrinsic) impulsive feedback is suggested. It brings about significant improvements in the state estimation error settling time in comparison with that of an earlier considered static feedback observer by making use of the weighted output estimation error in the calculation of the discrete part of the observer.

  • 8.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control. Faculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia.
    Churilov, Alexander
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    State estimation in a delayed impulsive model of testosterone regulation by a finite-dimensional hybrid observer2015In: Proc. 14th European Control Conference, IEEE, 2015, p. 1450-1455Conference paper (Refereed)
    Abstract [en]

    The paper deals with the model-based estimation of hormone concentrations that are unaccessible for direct measurement in the blood stream. Previous research demonstrated that the dynamics of non-basal endocrine regulation can be closely captured by linear continuous models with time delays under a pulse-modulated feedback. The presence of continuous time delays is inevitable in such a model due to transport phenomena and the time necessary for an endocrine gland to produce a certain hormone quantity. Yet, thanks to the Finite-Dimensional reducibility of the linear time-delay part of the system, a finite-dimensional model can be used to reconstruct both the continuous and discrete states of the hybrid time-delay plant. A hybrid observer exploiting this possibility is suggested and analyzed by means of a discrete impulse-to-impulse mapping.

  • 9.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Attractivity of the synchronous mode in hybrid observers for the impulsive Goodwin's oscillator subject to harmonic exogenous excitation2019In: Proc. American Control Conference: ACC 2019, American Automatic Control Council , 2019Conference paper (Refereed)
  • 10.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Design of a hybrid observer for an oscillator with an intrinsic pulse-modulated feedback2017In: Proc. American Control Conference: ACC 2017, American Automatic Control Council , 2017, p. 1175-1180Conference paper (Refereed)
  • 11.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Hybrid observer with finite-memory output error correction for linear systems under intrinsic impulsive feedback2019In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836Article in journal (Other academic)
  • 12.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Hybrid observers for an impulsive Goodwin’s oscillator subject to continuous exogenous signals2017In: 2017 IEEE 56Th Annual Conference on Decision and Control (Cdc), Piscataway, NJ: IEEE, 2017, p. 2396-2401Conference paper (Refereed)
    Abstract [en]

    This paper deals with the state estimation problemin an impulsive model of Goodwin’s oscillator forced by acontinuous exogenous signal. The continuous linear part of themodel is controlled by an intrinsic impulsive feedback thatcontributes discrete dynamics to the closed-loop system. Theimpacting pulsatile feedback signal is not available for mea-surement and, therefore, has to be reconstructed. To estimateall the elements of the hybrid state vector, an observationproblem is considered. Two hybrid observer structures areproposed and evaluated: one based on reconstructing both thestates of the Goodwin’s oscillator and those of the exogenoussystem and another assuming that the exogenous signal, or afunction of it, is known. The observer design is reduced to aproblem of synchronizing the impulsive sequence produced bythe observer with that of the plant. It utilizes a local approach ofassigning a guaranteed convergence rate to the local dynamicsof a synchronous mode through output error feedback. Thedynamics of the proposed observer schemes are analyzed bymeans of pointwise discrete (Poincar ́e) maps and illustrated bynumerical simulation for a case of bistability in the oscillator.

  • 13.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Robustification of the synchronous mode in a hybrid observer for a continuous system under an intrinsic pulse-modulated feedback2018In: Proc. 16th European Control Conference, IEEE, 2018, p. 107-112Conference paper (Refereed)
    The full text will be freely available from 2027-12-28 14:23
  • 14.
    Yamalova, Diana
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Medvedev, Alexander
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
    Zhusubaliyev, Zhanybai
    Bifurcation analysis for non-local design of a hybrid observer for the impulsive Goodwin's oscillator2019In: Article in journal (Other academic)
1 - 14 of 14
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