离散广义系统的鲁棒严格正实控制

研究确定的以及具有范数有界不确定性的离散广义系统的严格正实分析和控制问题,首先给出了确定离散广义系统状态反馈扩展严格正实控制器的存在条件和设计方法；然后利用线性矩阵不等式分析了不确定离散广义系统广义二次稳定且扩展严格正实的条件，讨论了状态反馈使闭环系统广义二次稳定且扩展严格正实问题，给出了状态反馈鲁棒扩展严格正实控制器的综合方法；最后通过数值算例说明了所提出方法的有效性．

Robust strict positive real control for discrete-time singular systems

The problems of strictly positive real analysis and design are considered for discrete-time singular systems with or without uncertainties which are expressed in a norm-bounded form. The existence condition of state feedback extended strict positive real controller is presented for discrete-time singular systems. By means of linear matrix inequality, a sufficient condition for that the uncertain discrete-time singular system is generalized quadratically stable and extended strict positive real is derived. State feedback controller to achieve generalized quadratic stability and extended strict positive realness is discussed. Furthermore, a method of designing state feedback robust extended strict positive real controller is given. Finally, a numerical example shows the effectiveness of this method.