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区间对象族最优鲁棒镇定问题研究
引用本文:吕斌,伍清河. 区间对象族最优鲁棒镇定问题研究[J]. 兵工学报, 2009, 30(6): 701-708
作者姓名:吕斌  伍清河
作者单位:北京理工大学,自动化学院,北京,100081;北京理工大学,自动化学院,北京,100081
基金项目:国家自然科学基金资助项目 (69574003),国家部委预研基金项目 
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诗过程。

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

Research on Optimal Robust Stabilization Problem for Interval Plant Family
L Bin,WU Qing-he. Research on Optimal Robust Stabilization Problem for Interval Plant Family[J]. Acta Armamentarii, 2009, 30(6): 701-708
Authors:L Bin  WU Qing-he
Affiliation:School of Automation, Beijing Institute of Technology, Beijing 100081, China
Abstract: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 unsta?ble 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.
Keywords:control theory    robust stabilization problem    interval plant family    stabilizability radius    stability radius    optimal robust controller  
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