具有结构摄动状态方程的鲁棒稳定性

The Robust Stability of the State Space Models with Structured Perturbations

本文通过对状态方程临界稳定条件的讨论,得到了一个关于具有结构摄动状态方程稳定性的充分条件.由此给出了一个保证系统稳定的参数允许摄动范围.此结果表明,参数摄动稳定的范围不但与摄动的结构有关,而且与标称系统的频率特性有关.

This paper deals with the critical stability condition of state space models,and a sufficient condition about stability of the state space models with structured perturbations is obtained.From those results,we give an allowable perturbation range of parameters in which the system is stable,which shows that this range is related not only to the structure of the perturbation,but also to the frequency character of the normal system.