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

• Published in: International journal of control Vol. 80; no. 8; pp. 1354 - 1365
• Main Authors: Zhang, L., Shi, P., Boukas, E.-K.
• Format: Journal Article
• Language: English
• 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
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207170701377113

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.