[1]李桂芳,王永成,杨成梧,等.基于HJI不等式的鲁棒耗散性的判定[J].南京理工大学学报(自然科学版),2005,(06):727-730.
 LI Gui-fang,WANG Yong-cheng,YANG Cheng-wu,et al.Determination Conditions for Robust Dissipativity Based on HJI Inequalities[J].Journal of Nanjing University of Science and Technology,2005,(06):727-730.
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基于HJI不等式的鲁棒耗散性的判定
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2005年06期
页码:
727-730
栏目:
出版日期:
2005-12-30

文章信息/Info

Title:
Determination Conditions for Robust Dissipativity Based on HJI Inequalities
作者:
李桂芳;王永成;杨成梧;孙勇成;
南京理工大学动力工程学院, 江苏南京210094
Author(s):
LI Gui-fangWANG Yong-chengYANG Cheng-wuSUN Yong-cheng
School of Power Engineering,NUST,Nanjing 210094,China
关键词:
非线性系统 不确定性 耗散控制HJI 不等式
Keywords:
nonlinear systems uncertainty dissipative control HJI inequalities
分类号:
TP13
摘要:
讨论一类带有界范数不确定性的仿射非线性系统的鲁棒无源综合问题,该系统具有输出馈通项且控制项系数带有参数不确定性。首先,基于Hamilton-Jacobi-Issacs(HJI)不等式给出系统是鲁棒耗散的充分性条件;在此基础上,利用相同的方法,给出在状态反馈控制下,系统可实现鲁棒耗散控制的充分条件,并且设计出相应的鲁棒耗散控制器。线性系统的相应结论作为特例。最后,给出数值算例说明本文结论的有效性。
Abstract:
The robustly dissipative synthesis problem is discussed for a class of affine nonlinear systems with bounded-norm uncertainties. The systems arewith inpu-t output feedthrough, and uncertain t ies appear in the rector field which mult iplies the control. Based on Hamilton-Jacob-i Issacs ( HJI) inequality approach, the sufficient condition under which the unforced systems are robustly dissipative is proposed; again applying the same approach, the solvable condit ion for the robustly dissipative control problem is obtained, and the corresponding state feedback controller is explicitly designed. The special case for linear systems is addressed. The numerical example is given to illustrate the validity of our results.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介: 李桂芳( 1978- ) , 女, 山西大同人, 博士生, 主要研究方向: 非线性系统的鲁棒控制, 耗散系统理论, E-mail:liguifanglgf@ sohu. com;
通讯作者: 杨成梧( 1935- ) , 男, 辽宁沈阳人, 教授, 博士生导师, 主要研究方向: 2D 系统理论, 广义系统理论, 非线性系统理论等, E-mail: yangcw@mail. njust. edu. cn。
更新日期/Last Update: 2013-03-03