高阶非线性系统状态反馈抗饱和跟踪控制

State Feedback Anti-windup Tracking Control for Higher order Nonlinear System

针对参数未知的高阶非线性系统,提出了一种简单有效的反馈抗饱和控制方法,并进行了状态反馈抗饱和控制吸引域估计。利用反馈控制思想,借助于李亚普诺夫稳定性理论,设计出了相应的状态抗饱和反馈控制器,并借助于Matlab进一步求出了控制器的参数。将所设计的抗饱和控制应用于Duffing混沌系统,仿真结果验证了该控制方法的有效性。

Aiming higher order nonlinear system with unknown parameters,a simple and effective anti-windup feedback control method and the estimation of domain of attraction are presented.Based on feedback control concept and Lyapunov stability theory,a state anti-windup feedback controller is designed for the nonlinear systems,and with the help of Matlab,the parameters of feedback controller can be obtained.The simulation results of Duffing chaotic system show the effectiveness of the method proposed in this paper.