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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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