基于模糊逼近的单输入单输出非线性时延控制系统

Fuzzy Approximation-based SISO Nonlinear Time-delay Control Systems

针对单输入单输出的非线性时延系统,本文考虑了其自适应模糊跟踪控制问题。构建了一种自适应时延模糊逻辑系统用来逼近未知时延函数;设计了补偿器来抵消模糊逼近误差和外部扰动。根据跟踪误差给出了参数调节规律。构造了包含时延的李亚普诺夫函数,从而证明了误差闭环系统满足期望的跟踪性能。仿真结果表明了该方案的可行性。

This paper considers an adaptive fuzzy tracking control problem for SISO nonlinear time-delay systems. A kind of adaptive time-delay fuzzy logic systems is constructed and used to approximate the unknown time-delay functions. A compensator is designed to eliminate fuzzy approximation errors and external disturbances. The adjusting laws for parameters are derived by the tracking error. The Lyapunov function with time delays is constructed, and then it is proved that the error closed loop system satisfies the anticipant tracking performance. The simulation result demonstrates that the control scheme is feasible.