摘要
研究了圆形区域极点约束下Delta算子描述的不确定线性系统的鲁棒容错镇定问题.基于Riccati方程,导出了当Delta算子系统存在不确定性和执行器故障时,将闭环系统极点配置到指定圆盘内,确保系统鲁棒容错镇定的充分条件;运用线性矩阵不等式(Linear Matrcx Inequality,LMI)方法,对Delta算子不确定系统进行状态反馈设计,给出了系统在区域极点约束下鲁棒容错控制器存在的充分条件,并通过求解LMI得到鲁棒容错控制器的设计.通过数值仿真验证了该方法的有效性.
The robust fault - tolerant stabilization problem of circular regional pole assignment for delta operator for- mulated uncertain linear systems is studied in this paper. A sufficient condition of robust fault - tolerant stabilization is derived using Riccati equations for the delta operator systems with uncertainty and actuator failure when allocating the closed - loop poles into a specified circular disk. In terms of a linear matrix inequality （LMI） approach, a suffi- cient condition for the existence of a robust fault - tolerant controller with regional pole assigmnent is presented through designing the state - feedback of the delta operator uncertain systems. Then the controller can be designed through solving LMI. A numerical simulation shows the effectiveness of the design method.
出处
《河南城建学院学报》
CAS
2010年第5期47-52,共6页
Journal of Henan University of Urban Construction
关键词
容错控制
DELTA算子
区域极点配置
鲁棒性
fauh - tolerant control
Delta operator
regional pole assignment
Robustness
