一个离散时间非线性系统的间接自适应模糊控制器

An Indirect Adaptive Fuzzy Controller for Discrete Time Nonlinear System

对于具有未知非线性函数的离散时间非线性系统,构造了一个间接自适应模糊控制器,并进行了稳定性分析.用模糊逻辑系统使系统参数化,如果参数化模型和真实系统是非常接近的,它们之间的差异是非常小的并且能假设为零,则能够构造一个简单的自适应模糊控制器,并且可以证明闭环控制系统在输入输出有界意义下的全局稳定性,且跟踪误差收敛到零.仿真实验证实了控制器的有效性.

An indirect adaptive fuzzy logic controller with stability is proposed. The plant is a nonlinear system which is unknown and parameterized by fuzzy logic systems. If the parameter model is very closed to the true system, the difference between the true system and the parameter model is very small and can be assumed to be zero. Then a simply adaptive fuzzy controller is introduced and it is proved that the resulting closed loop control system is globally stable in the sense that both input and output signals are uniformly bounded; and the tracking error will tend to zero. Simulation examples are given.