非线性离散时间系统的自适应模糊逻辑控制

ADAPTIVE FUZZY LOGIC CONTROL OF NONLINEAR DISCRETE-TIME SYSTEMS

对一类非线性离散时间系统x(k +1) =f(x(k) ) +g(x(k) )u(k) +d(k) ,根据模糊逻辑系统的逼近性质 ,给出了一种自适应模糊逻辑控制器的设计方法 .利用李亚普诺夫稳定性理论 ,证明了控制算法是全局稳定的 ,跟踪误差收敛于零的某一邻域中 .这一设计方法克服了JagamathanS(1998)文中要求模糊基函数向量满足持续激励 (PE)

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.