不确定离散广义系统的D稳定鲁棒非脆弱可靠控制  

D-stable robust non-fragile reliable control for uncertain discrete singular systems

作　　者：李吉祥[1] 武俊峰[1] 樊丽影[2] 

机构地区：[1]哈尔滨理工大学自动化学院,黑龙江哈尔滨150080 [2]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《中南大学学报（自然科学版）》2011年第6期1669-1675,共7页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(50975068);黑龙江省自然基金资助项目(F200820)

摘　　要：针对不确定离散广义系统,研究系统在控制器失效情况下的D稳定鲁棒非脆弱控制问题。根据D稳定条件,给出广义离散系统在系统参数不确定的情况下D稳定控制;研究在参数不确定和执行器故障的情况下离散广义系统的D稳定鲁棒可靠控制和D稳定鲁棒非脆弱可靠控制,保证在控制器失效的情况下,系统仍然能满足一定的性能指标。通过求解线性矩阵不等式(LMI),给出设计D稳定鲁棒非脆弱可靠控制器的方法。仿真结果证明了设计的有效性。The robust non-fragile reliable controller was designed for a discrete singular system with the D-stability.A controller was studied to make the uncertain discrete singular system stable by the condition of the D-stable,and the reliable controller and the non-fragile reliable controller were designed to satisfy D-stable for an uncertain singular discrete system.The non-fragile reliable controller can make the system regular,causal and D-stable with actuator failures by the LMI approach.The results show the effectiveness of the proposed design procedures.

关 键 词：离散系统 D稳定 非脆弱 可靠控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]