Control for discrete singular hybrid systems

Yuanqing Xia; Jinhui Zhang; El Kebir Boukas

doi:10.1016/j.automatica.2008.02.027

Control for discrete singular hybrid systems

Yuanqing Xia^*, Jinhui Zhang, El Kebir Boukas

^*Corresponding author for this work

School of Automation

École Polytechnique de Montréal

Research output: Contribution to journal › Article › peer-review

169 Citations (Scopus)

Abstract

The problems of stability, state feedback control and static output feedback control for a class of discrete-time singular hybrid systems are investigated in this paper. A new sufficient and necessary condition for a class of discrete-time singular hybrid systems to be regular, causal and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities (LMIs). Sufficient conditions are proposed for the existence of state feedback controller and static output feedback controller in terms of a set of coupled strict LMIs, respectively. Finally, two illustrative examples are provided to demonstrate the applicability of the proposed approach.

Original language	English
Pages (from-to)	2635-2641
Number of pages	7
Journal	Automatica
Volume	44
Issue number	10
DOIs	https://doi.org/10.1016/j.automatica.2008.02.027
Publication status	Published - Oct 2008

Keywords

Discrete-time systems
Hybrid systems
Linear matrix inequality (LMI)
Singular systems
State feedback control
Static output feedback control

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10.1016/j.automatica.2008.02.027

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title = "Control for discrete singular hybrid systems",

abstract = "The problems of stability, state feedback control and static output feedback control for a class of discrete-time singular hybrid systems are investigated in this paper. A new sufficient and necessary condition for a class of discrete-time singular hybrid systems to be regular, causal and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities (LMIs). Sufficient conditions are proposed for the existence of state feedback controller and static output feedback controller in terms of a set of coupled strict LMIs, respectively. Finally, two illustrative examples are provided to demonstrate the applicability of the proposed approach.",

keywords = "Discrete-time systems, Hybrid systems, Linear matrix inequality (LMI), Singular systems, State feedback control, Static output feedback control",

author = "Yuanqing Xia and Jinhui Zhang and Boukas, {El Kebir}",

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AU - Xia, Yuanqing

AU - Zhang, Jinhui

AU - Boukas, El Kebir

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N2 - The problems of stability, state feedback control and static output feedback control for a class of discrete-time singular hybrid systems are investigated in this paper. A new sufficient and necessary condition for a class of discrete-time singular hybrid systems to be regular, causal and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities (LMIs). Sufficient conditions are proposed for the existence of state feedback controller and static output feedback controller in terms of a set of coupled strict LMIs, respectively. Finally, two illustrative examples are provided to demonstrate the applicability of the proposed approach.

AB - The problems of stability, state feedback control and static output feedback control for a class of discrete-time singular hybrid systems are investigated in this paper. A new sufficient and necessary condition for a class of discrete-time singular hybrid systems to be regular, causal and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities (LMIs). Sufficient conditions are proposed for the existence of state feedback controller and static output feedback controller in terms of a set of coupled strict LMIs, respectively. Finally, two illustrative examples are provided to demonstrate the applicability of the proposed approach.

KW - Discrete-time systems

KW - Hybrid systems

KW - Linear matrix inequality (LMI)

KW - Singular systems

KW - State feedback control

KW - Static output feedback control

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M3 - Article

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SN - 0005-1098

VL - 44

SP - 2635

EP - 2641

JO - Automatica

JF - Automatica

IS - 10

ER -

Control for discrete singular hybrid systems

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Keywords

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