Memoryless H ∞ controller design for switched non-linear systems with mixed time-varying delays

This article deals with the H ∞ control problem for a class of switched non-linear systems with mixed time-varying delays. The novel features here are that the system in consideration is non-linear perturbation with discrete and distributed delays, the time-varying delay is also involved in the obse...

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Veröffentlicht in:International journal of control Jg. 82; H. 10; S. 1889 - 1898
1. Verfasser: Phat, Vu N.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis Group 01.10.2009
Taylor & Francis
Schlagworte:
Applied sciences
Computer science; control theory; systems
control
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
exponential stability
non-linear perturbation
Riccati equation
switched system
time-varying delay
Multimodel control
H infinite control
Non linear control
Control synthesis
Delay system
Exponential stability
Non linear system
Distributed delay
Hybrid system
Control constraint
Time varying system
Delay time
Riccati equation
Linear perturbation
Lyapunov function
Discrete delay
ISSN:0020-7179, 1366-5820
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Beschreibung
Zusammenfassung:This article deals with the H ∞ control problem for a class of switched non-linear systems with mixed time-varying delays. The novel features here are that the system in consideration is non-linear perturbation with discrete and distributed delays, the time-varying delay is also involved in the observation output, and the controllers to be designed satisfy some exponential stability constraints on the closed-loop poles. By using Lyapunov-Razumikhin functional approach, new sufficient conditions for the H ∞ control with exponential stability constraint are derived in terms of the solution of Riccati-type equations. The approach allows for simultaneous computation of the two bounds that characterise the stability rate of the solution.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207170902803008