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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。
In this paper, robust stability analysis and robust control of a generalized system with structural uncertainty are considered. The purpose is to propose the robust stability conditions and the existence conditions of the robust state feedback control law for such systems. In this paper, a new robust stability analysis method is proposed by using the concept of matrix measure. The analysis shows that the robust stability conditions obtained in this paper guarantee that the generalized autonomous systems are regular, pulse - free and stable to all allowable uncertainties. The sufficient condition for the existence of robust control law by state feedback is obtained. Finally, an example of robust stability analysis is given.