Robust H-infinity Output Feedback Control Design for Fuzzy Dynamic Systems with Quadratic D Stability Constraints: An LMI Approach
| Authors: | Nguang Sing Kiong, The University of Auckland, New Zealand
Assawinchaichote Wudhichai, King Mongkut's Uni. of Tech. Thonburi, Thailand
Shi Peng, University of Glamorgan, United Kingdom |
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| Topic: | 3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.) |
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| Session: | Fuzzy Control: LMI Methods |
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| Keywords: | Fuzzy system models, Lyapunov function, stabilising controller, output feedback, D stability |
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Abstract
This paper addresses the problem of designing arobust output feedback controller for a class of fuzzy uncertaindynamic systems that guarantees i) the L-2-gain from anexogenous input to a regulated output is less or equal to aprescribed value and ii) the closed-loop fuzzy system to bequadratically stable within a pre-specified LMI stability region.Based on an LMI approach, solutions to the problem are derived interms of a family of linear matrix inequalities. In contrast tomost existing results, the controller's premise variable isallowed to be different from the fuzzy model's premise variable.The chaotic Lorenz system is used to illustrate the effectivenessof the proposed design techniques.
