广义不确定周期时变系统的鲁棒容错 H∞控制

摘要

Considering a class of the time-varying periodically singular system, the concept of robust stability and robust stabilization for the time-varying periodically singular system was put forward by using analysis method of inequalities of linear matrix and Lyapunov inequalities. The necessary and sufficient conditions of robust fault-tolerant H∞ control was obtained. The conclusion of robust fault-tolerant H∞control research achievements are the natural extension from time-invariant singular system to the time-varying periodically singular system. Finally, a numerical example is taken to illustrate the effectiveness of the obtained conclusions.%针对一类广义不确定周期时变系统，利用线性矩阵不等式和李雅普诺夫不等式的分析方法提出了广义不确定周期时变系统的鲁棒二次稳定和鲁棒二次可镇定且具有 H∞性能指标的概念。得到了该类系统鲁棒容错 H∞控制的充要条件，研究成果是广义不确定定常系统鲁棒容错 H∞控制结论向广义不确定周期时变系统的推广，因而具有较大的理论意义。最后，使用一个数值算例证明了该方法和结论的有效性。