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BMI-based stability and performance design for fuzzy control systems
System, Structure and Control, Volume # 3 | Part# 1
Authors
Lam, H. K.; Seneviratne, L. D.
Digital Object Identifier (DOI)
10.3182/20071017-3-BR-2923.00014
Page Numbers:
82-87
Index Terms
fuzzy control,stability
Abstract
This paper presents the stability and performance design of fuzzy-model-based control systems subject to parameter uncertainties. A nonlinear controller with a favorable characteristic to relax the stability conditions is proposed to drive the system states of the nonlinear plant to follow those of a stable reference model. Stability and performance conditions in terms of bilinear matrix inequalities are derived based on a Lyapunov-based approach. A genetic-based convex programming technique process is developed to solve the solution to the bilinear matrix inequalities. An application example is given to show the merits of the proposed approach.
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