H ∞ output-feedback control for switched linear discrete-time systems with time-varying delays

In this paper, the problem of H ∞ output feedback control for switched linear discrete-time systems with time delays is investigated. The time delay is assumed to be time-varying and bounded. By constructing a switched quadratic Lyapunov function for the underlying system, both static and dynamic H...

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Published inInternational journal of control Vol. 80; no. 8; pp. 1354 - 1365
Main Authors Zhang, L., Shi, P., Boukas, E.-K.
Format Journal Article
LanguageEnglish
Published London Taylor & Francis Group 01.08.2007
Taylor & Francis
Subjects
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
System theory
Multimodel control
dynamic control
H infinite control
Feedback regulation
Control synthesis
Delay system
Dynamical system
Linear control
Switching
Noise level
Hybrid system
Closed feedback
Time varying system
Discrete time
Delay time
Output feedback
Lyapunov function
Quadratic function
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Abstract In this paper, the problem of H ∞ output feedback control for switched linear discrete-time systems with time delays is investigated. The time delay is assumed to be time-varying and bounded. By constructing a switched quadratic Lyapunov function for the underlying system, both static and dynamic H ∞ output feedback controllers are designed respectively such that the corresponding closed-loop system under arbitrary switching signals is asymptotically stable and a prescribed H ∞ noise-attenuation level bound is guaranteed. A cone complementary linearization algorithm is exploited to design the controllers. A numerical example is presented to show the effectiveness of the developed theoretical results.
AbstractList In this paper, the problem of H ∞ output feedback control for switched linear discrete-time systems with time delays is investigated. The time delay is assumed to be time-varying and bounded. By constructing a switched quadratic Lyapunov function for the underlying system, both static and dynamic H ∞ output feedback controllers are designed respectively such that the corresponding closed-loop system under arbitrary switching signals is asymptotically stable and a prescribed H ∞ noise-attenuation level bound is guaranteed. A cone complementary linearization algorithm is exploited to design the controllers. A numerical example is presented to show the effectiveness of the developed theoretical results.
Author Boukas, E.-K.
Zhang, L.
Shi, P.
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  surname: Boukas
  fullname: Boukas, E.-K.
  organization: Department of Mechanical Engineering , Ecole polytechnique de Montreal
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Issue 8
Keywords Multimodel control
dynamic control
H infinite control
Feedback regulation
Control synthesis
Delay system
Dynamical system
Linear control
Switching
Noise level
Hybrid system
Closed feedback
Time varying system
Discrete time
Delay time
Output feedback
Lyapunov function
Quadratic function
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SubjectTerms Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
System theory
Title H ∞ output-feedback control for switched linear discrete-time systems with time-varying delays
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