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不确定系统的鲁棒D控制
引用本文:滕青芳,范多旺.不确定系统的鲁棒D控制[J].兰州铁道学院学报,2006,25(4):91-94.
作者姓名:滕青芳  范多旺
作者单位:光电技术与智能控制教育部重点实验室(兰州交通大学),光电技术与智能控制教育部重点实验室(兰州交通大学) 甘肃兰州730070,兰州交通大学自动化与电气工程学院,甘肃兰州730070,甘肃兰州730070
摘    要:针对一类范数有界参数不确定线性连续系统,研究了使得闭环系统的所有极点均配置在给定部分扇形区域中的状态反馈控制器设计问题.基于线性矩阵不等式(LMI)处理方法,给出了不确定线性系统存在鲁棒D控制的充分条件,并利用使两个LMIs同时成立的可行解给出了状态反馈控制器的设计算法和设计步骤.最后,通过一算例验证了结果的正确性和有效性.

关 键 词:不确定性  鲁棒D控制  线性矩阵不等式  极点配置
文章编号:1001-4373(2006)04-0091-04
收稿时间:2005-10-18
修稿时间:2005年10月18

Robust D Control of Uncertain Linear Systems via State Feedback Controllers
Teng Qingfang,Fan Duowang.Robust D Control of Uncertain Linear Systems via State Feedback Controllers[J].Journal of Lanzhou Railway University,2006,25(4):91-94.
Authors:Teng Qingfang  Fan Duowang
Institution:1. Key Laboratory of Opto-Electronic Technology and Intelligent Control(Lanzbou Jiaotong University
Abstract:This paper was concerned with the robust design problem of the state feedback controllers that assigned all the closed-loop poles in a pre-specified partial sector region for a class of uncertain linear systems.The uncertainty in the system model was norm-bounded.Based on the linear matrix inequality(LMI) approach,the sufficient condition of existing robust D control was given.Furthermore,the corresponding synthesis problem was developed.The design arithmetic method and its steps were provided in terms of feasible solution to the two LMIs.The numerical example was given to illustrate the effectiveness of the approach presented in this paper.
Keywords:uncertainty  robust D control  LMI  pole placement  
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