基于LMI的离散奇异系统鲁棒D-稳定控制  

LMI Approach to Robust D-stabilities for Uncertain Discrete-time Singular Systems

作　　者：武俊峰[1] 张礼慧[1] 

机构地区：[1]哈尔滨理工大学自动化学院,哈尔滨150080

出　　处：《武汉理工大学学报》2010年第19期128-132,共5页Journal of Wuhan University of Technology

基　　金：教育部科学技术研究重点项目(206041);教育部高校博士点学科专项科研基金项目(20060214004);黑龙江省博士后科研启动基金项目(LBH-Q06050)

摘　　要：研究了一类不确定离散奇异系统的鲁棒D-稳定控制方法。控制目标是通过区域极点配置的方法设计一个状态反馈控制器。在一系列等价变换下,阐述其和连续不确定奇异系统鲁棒状态反馈稳定化问题的等价关系。借助LMI方法,得到了使闭环系统对所有允许的不确定性是正则、无脉冲、稳定的充要条件,以及控制器的设计方法。最后,通过一个数值算例验证了该设计方法的有效性。A robust D-stability controlling method is proposed for a class of uncertain discrete-time singular systems.A state feed-back controller is designed by an approach of regional pole placement.In a series of equivalent transformation,the equivalence between the stabilization under discussion and the robust stabilization via state feedback for uncertain continuous singular systems is obtained.In terms of LMI,a new sufficient and necessary condition is proposed to make the closed-loop system regular,impulse-free and stable.The design method of the controller is also given.Finally,the effectiveness of the proposed method is illustrated through an example.

关 键 词：奇异系统 不确定性 鲁棒D-稳定 LMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]