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Title: Linear controllers for fuzzy systems subject to unknown parameters : stability analysis and design based on linear matrix inequality (LMI) approach
Authors: Lam, HK
Leung, FHF 
Tam, PKS
Issue Date: 2001
Source: The 10th IEEE International Conference on Fuzzy Systems : meeting the grand challenge : machines that serve people : The University of Melbourne, Australia, December, 2001, Sunday 2nd to Wednesday 5th, p. 1012-1015
Abstract: This paper presents a design approach of linear controllers for nonlinear systems with unknown parameters within known bounds. The plant is represented by a fuzzy model. Stability condition will be derived based on Lyapunov stability theory and formulated into an LMI (Linear Matrix Inequality) problem. The linear controller can be designed by solving the LMIs. To illustrate the merits and the design procedure of the proposed linear controller, an application example on stabilizing an inverted pendulum on a cart with unknown parameters is given.
Keywords: Computer simulation
Linear control systems
Lyapunov methods
Matrix algebra
System stability
Publisher: IEEE
ISBN: 0-7803-7293-X
Rights: © 2001 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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