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Title: LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form
Authors: Lam, HK
Leung, FHF 
Keywords: Lyapunov functions
Mathematical models
Nonlinear systems
Numerical methods
System stability
Issue Date: 2006
Publisher: IEEE
Source: 2006 IEEE International Conference on Fuzzy Systems : Vancouver, BC, Canada, July 16-21, 2006, p. 2020-2026 How to cite?
Abstract: This paper presents the stability analysis and performance design of the continuous-time fuzzy-model-based control systems. A nonlinear controller will be proposed to stabilize the nonlinear systems in Takagi-Sugeno's form. LMI-based stability conditions will be derived the parameter-dependent Lyapunov function to guarantee the system stability. Furthermore, based on the commonly-used performance index, LMI-based performance conditions will be derived to achieve the system performance. A numerical example will be given to illustrate the effectiveness of the proposed approach.
ISBN: 0-7803-9489-5
Rights: © 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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