Hybrid Control for Switched Linear Systems With Average Dwell Time

Yuan, Chengzhi; Wu, Fen

doi:10.1109/tac.2014.2322941

Cited by 141 publications

(88 citation statements)

References 18 publications

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“…In Hespanha and Morse (2002), the authors propose to make a reset in the state of a multicontroller in order to stabilize a given plant, this corresponds to considering that at each switching instant only some components of the state of the closed-loop system are available for reset, as the state of the process under control remains unchanged. Similar controller architecture may be found in Yuan and Wu (2015a) and Yuan and Wu (2015b).…”

Section: Introductionsupporting

confidence: 57%

“…In opposition to the case in which all of the state components can be subject to reset (total reset), we say that this type of reset is a partial reset of order z. This type of state reset appears, for instance, in Hespanha and Morse (2002) and Yuan and Wu (2015b), as a result of a multi-controller technique were the state of the controller is subject to some jump at the switching instants but the same is not allowed for the state of the process. In fact, in the aforementioned contributions, the correspondent closed-loop systems are switched systems with partial reset of the form I 0 0 R (q,p) .…”

Section: Preliminariesmentioning

confidence: 99%

“…In the case of switched systems the state reset is usually associated with the switching signal. More precisely, the reset of the state takes place at each switching instant, and is determined by which systems are active before and after the commutation, Hespanha and Morse (2002), Hespanha et al (2007), Yuan and Wu (2015b). In Hespanha and Morse (2002), the authors propose to make a reset in the state of a multicontroller in order to stabilize a given plant, this corresponds to considering that at each switching instant only some components of the state of the closed-loop system are available for reset, as the state of the process under control remains unchanged.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability of simultaneously block triangularisable switched systems with partial state reset

Brás

Carapito

Rocha

2016

International Journal of Control

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We study the stability of a certain class of switched systems where discontinuous jumps (resets) on some of the state components are allowed, at the switching instants. It is known that, if all components of the state are available for reset, the system can be stabilizable by an adequate choice of resets. However, this question may have negative answer if there are forbidden state components for reset. We give a sufficient condition for the stabilizability of a switched system, under arbitrary switching, by partial state reset in terms of a block simultaneous triangularizability condition. Based on this sufficient condition, we show that the particular class of systems with partially commuting stable system matrices is stabilizable by partial state reset. We also provide an algorithm that allows testing whether a switched system belongs to this particular class of systems.

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Section: Introductionsupporting

confidence: 57%

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stability of simultaneously block triangularisable switched systems with partial state reset

Brás

Carapito

Rocha

2016

International Journal of Control

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“…To this end, motivated by [23] for output regulation of LTI systems and [24] for hybrid stabilization of switched linear systems, we partition the hybrid controller state x c in …”

Section: B Dilated Lmi Representations Of the Brlmentioning

confidence: 99%

Almost output regulation of discrete-time switched linear systems

Yuan

Chen

2015

2015 American Control Conference (ACC)

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In this paper, we propose a new hybrid control approach for almost output regulation of a class of discretetime switched linear systems with average dwell time (ADT). Both controlled plant and exosystem are described by switched linear systems. The proposed hybrid controller is constructed as a switching impulsive system, where the controller states will undergo impulsive jumps at each switching instant. By using the ADT technique incorporated with multiple quadratic Lyapunov functions, the hybrid synthesis conditions for almost output regulation with asymptotic stability and weighted H∞ performance are formulated as a set of linear matrix equations and linear matrix inequalities (LMIs), which can be solved effectively. The proposed hybrid control method has been demonstrated through a numerical example.

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“…This paper presents a robust switching output feedback control scheme to deal with a class of discrete-time linear systems subject to polytopic time-varying uncertainties. The problem of stability and stabilization od switched systems is important and challenging, and it has received considerable attention in the recent literature (see [7,12,13,[23][24][25]). Motivated by the methodologies from [6] on switched statefeedback control of polytopic uncertain systems, [26] on asynchronous switching output-feedback controller synthesis, and [9] on stabilization of switched linear systems via relaxed min-switching control, a stabilizing switching law that governs the switches between a family of subcontrollers is first proposed, upon which the analysis condition for globally asymptotic stability and 2 -gain performance of the closed-loop system is established by using a piecewise quadratic Lyapunov function.…”

Section: Introductionmentioning

confidence: 99%

Robust switching output feedback control of discrete-time linear polytopic uncertain systems

Yuan

Chen

2015

2015 34th Chinese Control Conference (CCC)

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This paper presents a new switching control approach for robust output feedback control of a class of discrete-time linear systems subject to polytopic time-varying uncertainties. The proposed robust switching controller, which stabilizes the closed-loop system with a pre-specified H∞ performance level, consists of a family of dynamic output feedback controllers (of an arbitrary state order) and a switching law (the relaxed min-switching strategy). Both stability analysis and control synthesis conditions are derived using a piecewise quadratic Lyapunov function. The switching law combined with the controller gain matrices are jointly synthesized by solving a convex linear matrix inequality (LMI) based optimization problem. An academic example has been used to demonstrate the effectiveness and advantages of the proposed approach.

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Hybrid Control for Switched Linear Systems With Average Dwell Time

Cited by 141 publications

References 18 publications

Stability of simultaneously block triangularisable switched systems with partial state reset

Stability of simultaneously block triangularisable switched systems with partial state reset

Almost output regulation of discrete-time switched linear systems

Robust switching output feedback control of discrete-time linear polytopic uncertain systems

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