摘要
利用矩阵不等式和LMI方法,研究了一类传感器故障下的不确定离散系统在闭环区域极点指标约束下的鲁棒优化可靠保性能控制问题。分析了故障闭环系统满足区域极点约束和具有较优的保性能上界的充分条件,给出的保性能函数指标上界优于已有的结果。得到了使故障闭环系统满足上述性能约束的可靠状态反馈控制器设计方法。最后通过仿真示例证明了本文方法的有效性。
The problem of optimal reliable guaranteed cost control with regional poles constraints is investigated for a class of uncertain discrete - time systems subject to sensor failures. The sufficient conditions are derived for the faulty closed - loop systems meeting such performance requirements by using matrix inequalities. The existing result on the upper bound of guaranteed cost function is improved. Based on linear matrix inequalities （LMI） approach, the reliable state - feedback controller is designed to guarantee, for possible sensor failures, the closed - loop system satisfying the pre - specified regional pole index and having the optimal quadratic cost performance. Finally, the simulative example demonstrates the validity of the proposed method.
出处
《空军工程大学学报（自然科学版）》
CSCD
北大核心
2007年第4期9-11,22,共4页
Journal of Air Force Engineering University(Natural Science Edition)
基金
国家自然科学基金(60574082)
国家创新研究群体科学基金资助项目(NCRGSFC60421002)
关键词
可靠控制
传感器故障
保性能控制
区域极点配置
LMI
reliable control
sensor failure
guaranteed cost control
regional poles assignment
LMI
