Membership Dependent Stability Analysis of TS Fuzzy Controlled Systems using Coupling Attenuation
نویسندگان
چکیده
The use of Linear Matrix Inequalities and Common Quadratic Lyapunov Functions is a powerful and commonplace tool for Takagi-Sugeno fuzzy controlled system analysis and synthesis. However, in practice, few practical and performing results are available when the subsystems exhibit different input matrices, because of the strong coupling between the subsystems/subcontrollers. In this paper, this coupling is demonstrated and a method is proposed which allows to synthesize, for a number of subsystems higher than 2, the local gains of a Parallel Distributed Controller. It is shown that the controller gains depend on the values of the input matrices and of the membership functions, and are thus able to relax classical stability conditions by embedding information on the fuzzy premises. Keywords— Fuzzy Control, Takagi-Sugeno Fuzzy Systems, Stability, Parallel Distributed Control.
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