具Frobenius有界不确定性广义系统的鲁棒稳定性(英文)  

Robust stability for singular systems with Frobenius norm-bounded uncertainties

作　　者：胡刚[1] 任俊超[1] 谢湘生[2] 

机构地区：[1]广东工业大学自动化学院,广东广州510090 [2]广东工业大学系统工程研究所,广东广州510090

出　　处：《控制理论与应用》2003年第2期283-288,共6页Control Theory & Applications

基　　金：supportedbytheGuangdongProvincialNaturalScienceFoundationofChina( 0 2 0 0 65 )

摘　　要：研究了具Frobenius有界不确定性广义系统的稳定与鲁棒镇定问题 .通过对代数Riccati不等式或代数Riccati方程的求解 ,获得了不确定广义系统广义二次稳定的充要条件 ,使得对所有容许的不确定参数 ,系统是稳定 ,正则和无脉冲 .而且 ,根据一类矩阵方程 ,构造了使不确定广义系统鲁棒镇定的状态反馈控制器的设计方法 .实例说明了上述方法的有效性 .This paper is to discuss the problems of stability and robust stabilization for singular systems with Frobenius norm bounded uncertainties. The necessary and sufficient conditions of generalized quadratical stability, which guarantees that the uncertain singular system is stable, regular and impulse free for all admissible uncertainties, can be obtained by solving an algebraic Riccati inequality or an algebraic Riccati equation. Furthermore, the design method of robustly stabilizing state feedback controller can be constructed in terms of the solution of a certain matrix equation. A numerical example is given illustrating the effectiveness of the proposed approach.

关 键 词：不确定性广义系统 Frobenius界 鲁棒稳定性 RICCATI不等式 状态反馈控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]