In this paper, a design method of indirect adaptive fuzzy controller is proposed for a class of single-input single-output (SISO) nonlinear systems with input-output nonlinear relationship. In this method, fuzzy systems are utilized to approximate unknown nonlinear functions, and a state observer is designed to estimate the unmeasured state. Under the given constraint conditions of the system parameters, the adaptive law is given. Meanwhile, the stability of the closed-loop system is proven with all state variables being uniformly bounded in the Lyapunov sense. Moreover, the convergence of the fuzzy control system is analyzed. The simulation results show the feasibility, effectiveness, and universality of the designed method.

中文翻译：

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具有输入输出非线性关系的SISO非线性系统的间接自适应模糊控制


针对一类具有输入输出非线性关系的单输入单输出(SISO)非线性系统，提出了一种间接自适应模糊控制器的设计方法。该方法利用模糊系统来逼近未知的非线性函数，并设计状态观测器来估计未测量的状态。在给定系统参数约束条件下，给出了自适应律。同时，证明了闭环系统的稳定性，所有状态变量在李亚普诺夫意义上一致有界。此外，还对模糊控制系统的收敛性进行了分析。仿真结果表明了所设计方法的可行性、有效性和普适性。