摘要
考虑离散广义系统的静态输出反馈H∞控制问题·利用线性矩阵不等式和广义Riccati不等式给出离散广义系统存在静态输出反馈H∞控制器,使得闭环系统是容许的并且其传递函数矩阵满足H∞范数约束条件的充分必要条件·在适当的假设下给出静态输出反馈H∞控制器存在的必要条件,并在一定条件下得到静态输出反馈H∞控制器存在的充分条件,同时给出相应的控制器构造·
?The static output feedback H∞ control was explored for discrete time singular systems. Based on the generalized Riccati inequality and linear matrix inequality, necessary and sufficient conditions were obtained for the existence of static output feedback H∞ controllers,The resulting closedloop system is admissible with its transfer function matrix satisfying H∞ norm constraint. Under some assumptions, a necessary condition for the controller existence was presented. Under certain condition, a sufficient condition was given such that the closedloop system is admissible with its transfer function matrix satisfying H∞ norm constraint. The corresponding static output feedback H∞ controllers were also designed.
出处
《东北大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2002年第11期1037-1039,共3页
Journal of Northeastern University(Natural Science)
基金
教育部骨干教师基金资助项目