一类非线性不确定系统鲁棒H^∞控制器的设计

Design of Robust H∞Controller for a Class of Nonlinear Uncertain System

利用微分对策方法 ,讨论了一类不确定性非线性控制系统的鲁棒H∞ 控制问题。给出了在所有允许的不确定范围内 ,使闭环系统具有鲁棒H∞ 控制特性的状态反馈鲁棒H∞ 控制器、输出反馈鲁棒H∞ 控制器以及基于观测器的鲁棒H∞ 控制的设计方法。指出了如果相应的一个或两个Hamilton -Jacobi不等式有非负解 ,则该不确定非线性系统的鲁棒H∞ 控制问题有解。

Robust H ∞ controller via state feedback as well as via output feedback for a class of nonlinear systems with uncertainty is discussed by means of two player,zero sum,differential game The sufficient conditions of the solution existence for the H ∞ control problems of such case of uncertain nonlinear systems are presented It is proved that all the controllers proposed in this paper can make the closed loop systems with uncertainty achieve disturbance attenuation with internal stability