Stability Analysis of Continuous PI-like Fuzzy Control Systems based on Vector Norms Approach
نویسندگان
چکیده
This paper proposes a practical stability analysis of a particular class of continuous PI-like fuzzy control systems based on the convergence of regular vector norms. This approach is based on the comparison, the overvaluing principle and the application of Borne and Gentina criterion. The stability conditions issued from vector norms correspond to a vector Lyapunov function. A comparison system relative to a regular vector norm will be used in order to get the simple arrow form of the state matrix that yields to a suitable use of Borne and Gentina criterion for establishing sufficient conditions for global asymptotic stability. Keywords—Continuous PI-like fuzzy control systems, global asymptotic stability, vector norms, Borne and Gentina criterion, Arrow form state matrix.
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