同时存在五种摄动的系统敏感性分析

SENSITIVITY ANALYSIS OF SYSTEMS WITH FIVE TYPES OF STRUCTURED UNCERTAINTY

讨论了控制对象加摄动、稳定反馈摄动、输入乘摄动、输出乘摄动以及控制器加摄动同时存在情形下的摄动系统鲁棒稳定性和性能敏感性问题 ,给出了鲁棒稳定的充分条件 ,得到了敏感函数矩阵和传递函数矩阵的 H∞ 摄动上界 .

In this paper five types of structured uncertainty are considered simultaneously,i.e.,the input multiplicative,output multiplicative,additive and stable feedback perturbations on the plant G and the additive perturbation on the controller K.Sufficient conditions are given for the robust stability of the perturbed system.The upper bounds measured by H ∞ norms for the sensitivity function matrix and the closed loop transfer function matrix are presented.In fact,the result obtained in the present paper is an extension of the known ones.