Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 38, Issue 1, Pages 25-37Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207720601042967
Keywords
discrete-time fuzzy system; dynamic output feedback; H-infinity control; linear matrix inequality; fuzzy-basis-dependent Lyapunov function
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This article deals with an output feedback He,, control problem for a class of discrete-time fuzzy dynamic systems. A full-order dynamic output feedback H-infinity control design approach is developed by combining a fuzzy-basis-dependent Lyapunov function and a transformation on the controller parameters, which leads to sufficient conditions in the form of strict linear matrix inequalities (LMIs). The fuzzy-basis-dependent results are less conservative due to the generality of the fuzzy-basis-dependent Lyapunov function used which includes the fuzzy-basis-independent one as a special case. It has been shown that the underling full-order dynamic output feedback He,, control problem can be solved as LMI optimization problems that can be computed numerically very efficiently. Finally, two numerical examples, concerning the control of a discrete-time chaotic Lorenz system and an inverted pendulum, are given to demonstrate the applicability of the proposed approach.
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