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Stable fuzzy adaptive control for a class of nonlinear systems. (English) Zbl 0942.93018
The study presents an adaptive fuzzy control for a class of nonlinear systems. The control law consists of a fuzzy controller \(u_f({\mathbf x},{\mathbf a})\) and a compensation control block \((u_c)\) whose outputs are combined additively, namely \(u= u_f({\mathbf x},{\mathbf a})+ u_c\) where \({\mathbf a}\) is a vector of parameters of the fuzzy controller. Considering an \(n\)th order nonlinear dynamic system, the authors derive stable control schemes based on the Lyapunov stability approach. Simulation experiments are included.

MSC:
93C42 Fuzzy control/observation systems
93D21 Adaptive or robust stabilization
93C10 Nonlinear systems in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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