参数鲁棒镇定问题的可解性必要条件  

On the Necessary Solvability Conditions of Parametric Robust Stabilization Problem

作　　者：伍清河[1] 徐粒 穴泽义久 

机构地区：[1]北京理工大学信息科学技术学院自动控制系,北京100081 [2]日本秋田县立大学系统科学技术学部

出　　处：《自动化学报》2004年第5期723-730,共8页Acta Automatica Sinica

基　　金：国家自然科学基金(69904003);国家教委博士点专项科研基金(1999000701)资助~~

摘　　要：给定对象族P(s,δ),其参数是向量P范数有界的不确定参数δ的仿射函数.用根轨迹法证明,P(s,δ)的任意两个元素的可同时镇定性等价于P(s,δ)的每个元素的可镇定性.结果表明,P(s,δ)的可镇定性可作为一个有效的判断条件以排除那些鲁棒镇定问题肯定无解的情况,从而更加有效的应用棱边和顶点等已知结果寻找鲁棒镇定问题的解.By means of the root locus approach it is shown that for a plant family P(s,δ) with Holder p-norm bounded parameter uncertainty δ, every pair of elements of P(s,δ) is simultaneously stabilizable if and only if every element of P(s,δ) is stabilizable. This result implies that the pairwise simultaneous stabilizability does not impose additional restriction on the solvability of the robust stabilization problem (RSP), thus the stabilizability of P(s,δ) is not so conservative as it appears and can serve as a criterion to exclude the part of P(s,δ) whose RSP is certainly unsolvable so that the existing edge and vertex results can be more effectively applied.

关 键 词：参数不确定性系统 可同时镇定性 强可镇定性 偶交错性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]