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Robust tracking control for nonlinear MIMO systems via fuzzy approaches. (English) Zbl 0967.93060
A former approach of B.-S. Chen, T.-C. Lee and Y.-C. Chang [IEEE Trans. Fuzzy Systems 4, 32-43 (1996)] towards the treatment of nonlinear control problems by fuzzy control techniques is here extended to the multidimensional case. Starting from a system of differential equations which include some smooth nonlinearities in some coefficients, an approximating fuzzy control system is constructed. For it, sufficient conditions are given under which the fuzzy control strategy works in such a way that the tracking error remains within prescribed bounds.

MSC:
93C42 Fuzzy control/observation systems
93C35 Multivariable systems, multidimensional control systems
93C10 Nonlinear systems in control theory
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