鲁里叶系统鲁棒输入输出稳定性的H_∞范数摄动界

H ∞ NORM PERTURBATION MARGINS OF ROBUST INPUT OUTPUT STABILITY FOR LUR'E SYSTEMS

讨论了一般鲁里叶系统的鲁棒输入、输出稳定性问题．利用Ｈ∞范数与互质因子摄动两种度量方法给出了鲁里叶系统在线性部分与非线性部分同时有摄动时，系统仍能保持输入、输出稳定性的摄动量上界估计式，并用两个例子说明了该摄动界的有效性．

This paper discusses the problem of robust input output stability of Lur'e systems. The system's perturbation margins, which will enable the system to maintain input output stability in the presence of both linear element and nonlinear element perturbations,are given. In addition, two examples are given to illustrate the effectiveness of the perturbation margins.