Journal
AUTOMATICA
Volume 42, Issue 3, Pages 503-508Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2005.11.005
Keywords
T-S fuzzy systems; parameter-dependent Lyapunov function; parallel distributed compensation; nonquadratic Lyapunov function
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This paper further studies stabilization of nonlinear systems represented by a Takagi-Sugeno (T-S) discrete fuzzy model. By extending a nonquadratic Lyapunov function and applying a nonparallel distributed compensation (non-PDC) law, a new stabilization conclusion is presented that is a generalization of some previous results in the literature. The new conclusion under a special situation is also suitable for a PDC law, which presents to be more relaxed than some existing results. An example is provided to demonstrate the effectiveness of the new conclusions. (C) 2005 Elsevier Ltd. All rights reserved.
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