不确定广义线性时变系统的鲁棒稳定和二次稳定

针对不确定广义线性时变系统,采用矩阵不等式的分析方法,提出不确定广义线性时变系统鲁棒稳定和二次稳定的概念.建立该类系统的矩阵不等式,将该类系统的鲁棒控制问题转化为求解矩阵不等式问题,得到该类系统鲁棒稳定和二次稳定的充分必要条件,并给出一种状态反馈鲁棒镇定控制器的设计方法.最后,通过数值算例表明了所提出方法的可行性.

Robust stability and quadratic stability for linear time-varying uncertain singular system

Considering the linear time-varying uncertain singular system, by using the analysis method of matrix inequality, the concepts of robust stability and quadratic stability for the linear time-varying uncertain singular system are proposed. Matrix inequalities for this kind of systems are established. The problems of robust control for this kind of systems are transformed to solve the matrix inequality problem, so that the necessary and sufficient conditions of robust stability and quadratic stability are obtained for the system, and the design methods for state feedback robust stabilization controllers are presented. Finally, a numerical example is provided to illustrate the feasibility of the proposed method.