利用状态反馈增益变化设计广义系统H_∞可靠控制器

State-feedback H-infinity reliable controller design for descriptor systems with controller gain variations

通过对状态反馈两种增益变化形式的分析,研究广义系统H∞可靠控制器的设计问题.给出基于状态反馈增益变化的广义系统H∞可靠控制器的定义,得到了执行器故障模型.用线性矩阵不等式(LMI)方法,研究两种状态反馈增益变化的广义系统H∞控制器存在的充分条件和设计方法.进而,针对执行器的不同故障情形,用LMI方法给出广义系统存在基于状态反馈增益变化的H∞可靠控制器的充分条件.最后,给出了优化广义系统H∞可靠控制器的设计算法.

By analyzing two kinds of state-feedback gain variation forms, an H-infinity reliable controller design problem for descriptor systems is discussed in this paper. Firstly, the definition of H-infinity reliable controller based on statefeedback gain variation for descriptor systems is given, and the failure models of actuators are also yielded. Using the approach of linear matrix inequalities （LMI）, the sufficient conditions and the design method are then studied to show that there exist H-infinity controllers of two kind of state-feedback gain variation forms for descriptor systems. Furthermore, aiming at the different actuator failures, the sufficient conditions that there exist H-infinity reliable controllers based on state-feedback gain variation are obtained using LMI method. Finally, the optimal algorithm of design H-infinity reliable controller for descriptor systems is given.