结构不确定性广义系统的鲁棒控制

Robust Control for Generalized Systems with Structured Uncertainty

该文考虑结构不确定性广义系统的鲁棒稳定性分析及鲁棒控制问题。目的是提出该类系统的鲁棒稳定性条件及鲁棒状态反馈控制律的存在条件。该文利用矩阵测度的概念，提出了一种新的鲁棒稳定性分析方法，分析表明，所得的鲁棒稳定性条件保证广义自治系统对所有容许的不确定性都正则，无脉冲且稳定；并由此得到了由状态反馈作用的鲁棒控制律存在的充分条件；最后给出了鲁棒稳定性分析算例。

This paper is concerned with the problems of robust stability analysis and robust control for generalized systems with structured uncertainty.The aim is to derive conditions for robust stability and the existence of robust state feedback control laws for such systems,respectively.By using properties of matrix measures,a new method is proposed to analyze robust stability.It is shown that the proposed robust stability condition ensures that the autonomous generalized system is regular,impulse free as well as stable for all admissible uncertainties.From this,a sufficient condition for the existence of robust control law via state feedback is obtained;a numerical example of robust stability analysis is also given.