基于LMI的μ方法及其在电力系统中的应用  

Analysis and Synthesis with Application in Power System: LMI Approach

作　　者：富饶[1] 黄琳[1] 

机构地区：[1]北京大学力学与工程科学系,北京100871

出　　处：《自动化学报》2004年第4期496-506,共11页Acta Automatica Sinica

基　　金：国家自然科学基金(10272001);国家重点基础研究专项经费(G1998020302)资助~~

摘　　要：提出了一个新的基于linear matrix inequality(LMI)的混合结构奇异值(μ)分析与综合方法,通过采用S-过程,将Robust LMI形式的判据简化,得到了可验证的基于LMI的μ分析综合判据.该判据是基于状态空间描述的,从而消除了频率扫描过程和频率响应曲线拟合过程并具有更好的数值性态.将该方法应用于典型电力系统励磁控制的鲁棒稳定性分析和鲁棒控制器的设计中,数值仿真结果同现有AVR+PSS控制器的结果所做比较表明该方法的有效性.This paper presents a new linear matrix inequality (LMI) approach to the mixed μ(structured singular value) analysis and synthesis problem. By using S-procedure, a new μ upper bound for a dynamic system is derived in terms of LMIs. The proposed approach requires no high order multiplier and no frequency sweep. This approach is applied to a typical power system to solve the controller synthesis problem that guarantees the robust stability for a given variations in operating conditions. Numerical simulation results based on the presented control strategy are compared favorably with that based on classical AVR + PSS control.

关 键 词：结构奇异值 线性矩阵不等式 电力系统 

分 类 号：TM711[电气工程—电力系统及自动化]