区间对象族最优鲁棒镇定问题研究  

Research on Optimal Robust Stabilization Problem for Interval Plant Family

作　　者：吕斌[1] 伍清河[1] 

机构地区：[1]北京理工大学自动化学院,北京100081

出　　处：《兵工学报》2009年第6期701-708,共8页Acta Armamentarii

基　　金：国家自然科学基金资助项目(69574003)(69904003);国家部委预研基金项目(YJ0267016)

摘　　要：主要研究了区间对象族的鲁棒镇定问题。区间对象族满足可镇定性条件,即每一个对象都没有不稳定的零极相消,是其鲁棒镇定问题可解的一个必要条件。本文将说明区间对象族满足可镇定性条件同时也是其鲁棒镇定问题可解的充分条件,并通过示例说明区间对象族最优鲁棒控制器的设计过程。The robust stabilization problem （RSP） for interval plant family was studied. A necessary solvability condition of RSP is that every member plant must be stabilizable, that is, it is free of unstable pole-zero cancellation. It is shown that stabilizability is also a sufficient solvability condition of RSP. The numerical example was presented to illustrate the procedure of the synthesis of the optimal robust controller for the interval plant family.

关 键 词：控制理论 鲁棒镇定问题 区间对象族 可镇定性半径 稳定性半径 最优鲁棒控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]