Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 4, Issue 3, Pages 381-390Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2008.0481
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Funding
- Funds for Creative Research Groups of China [60821063]
- National 973 Program of China [2009CB320604]
- Funds of National Science of China [60974043, 60904010]
- 111 Project [B08015]
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This study investigates the problem of H-infinity static output feedback (SOF) control for discrete-time switched linear systems with average dwell time. By the aid of multiple Lyapunov functions combined with Finsler's lemma, a switched SOF controller is designed such that the closed-loop switched system is exponentially stable and achieves a weighted L-2-gain. Sufficient conditions for SOF control are derived and formulated in terms of linear matrix inequalities (LMIs). The minimal average dwell time and the corresponding SOF controller are obtained from the LMI conditions for a given system decay degree. The proposed method is less conservative than the existing ones, which is validated by a numerical example.
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