非线性系统一种新的模糊自适应后推设计方法

A Novel Fuzzy Adaptive Backstepping Scheme for Nonlinear Systems

研究了一类非线性系统的自适应跟踪问题。利用系统设计过程所得误差信息,提出了一种新的模糊间接自适应后推设计方法。与常见的后退方法相比较,该方法可以获得更简洁的控制器表达形式。基于李亚普诺夫稳定性理论,给出了闭环自适应系统一致渐近有界的证明。仿真结果验证了本方法的有效性。

This paper focuses on adaptive tracking problem of a class of nonlinear systems using indirect fuzzy method. By taking into account of all the useful information which can be obtained during the procedure of system design, a novel adaptive backstepping scheme is proposed using fuzzy neural networks as nonlinear approximators. The proposed controller has much simpler expression than those given by the commonly adopted methods. Using Lyapunov stability analysis, the uniformly ultimately boundedness of closed-loop adaptive systems is proven. A simple simulation is included to illustrate the effectiveness of the proposed approach.