ADAPTIVE FUZZY LOGIC CONTROL OF NONLINEAR DISCRETE-TIME SYSTEMS

Xie Xue · Journal of Qufu Normal University · 2001

For a class of nonlinear discrete_time systems x(k+1)=f(x(k))+g(x(k)u(k)+d(k) , based on the approximation capability of fuzzy logic systems, the method of designing an adaptive fuzzy logic controller is given. According to the Lyapunov stability theory,the control algorithm is provedto be globally stable, and the tracking error converges to a neighborhoodof zero. This method overcomes the PE condition imposed on fuzzy basisfunction vector in Jagannathan S(1998), which is difficult to verify andsatisfy in practical applications.

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