期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类非线性离散系统基于有界反馈的奇异H_∞控制问题 被引量：2

Singular H_∞ Control Problem for a Class of Nonlinear Discrete-time Systems with a Bounded-controller
原文传递
导出
摘要 主要研究基于有界控制律的一类非线性离散系统的奇异H∞控制问题.在系统不满足正则条件的情况下,分离出正则部分与非正则部分,给出基于有界反馈与二次Lyapunov函数的离散系统奇异H∞问题可解性的必要条件以及充分条件,求出的有界控制律能使得闭环系统在保证内稳定的条件下达到干扰衰减. The singular H∞ control problem for a class of nonlinear discrete-time system with a bounded feedback control law is mainly considered, when the systems don＇t satisfy the regular condition, a necessary condition and a sufficient condition for the solvablitity of singular H∞ control problem for nonlinear discrete-time systems with a bounded-controller are established. The bounded-controller guarantees the closed-loop systems disturbance attenuation with internal stability.
作者 程桂芳 卜春霞 慕小武
机构地区 郑州大学数学系
出处 《数学的实践与认识》 CSCD 北大核心 2006年第12期180-187,共8页 Mathematics in Practice and Theory
基金 河南省教育厅自然科学基础研究资助项目(200510459002)
关键词 有界反馈 奇异H∞控制 离散系统 非线性系统 nonlinear system stability singular H∞ control discrete-time system
分类号 O231.2 [理学—运筹学与控制论]
  • 相关文献

参考文献9

  • 1Francis B A, Zames G. H∞ optimal sensitivity theory for SISO feedback systems [J]. IEEE Transactionon Automatic Control, 1984,29:9 16.
  • 2Glover K. All optimal-norm approximations of linear multivariable systems and their L∞ error bounds [J].International Journal of Control, 1984,39:1115-1193.
  • 3Francis B A. A Course in H∞ Control Theory[M]. New York: Springer-verlag, 1987.
  • 4Isidori A, Astolfi A. Disturbance attenuation and H∞ control via measurement feedback in nonlinear systems[J].IEEE Transaction on Automatic Control. 1992,37:1283-1293.
  • 5A J van der Schaft, On a state space approach to nonlinear H∞ control[J]. Systems and Control Letters, 1991.16:1-8.
  • 6A J van der Schaft. L2-Gain analysis of nonlinear systems and nonlinear state feedback H∞ control[J]. IEEE Transaction on Automatic Control, 1992.37:770-784.
  • 7Maas W C A. Nonlinear H∞ Control: The Singular Case[M]. Stlehting Mathematiseh Centrum, Amsterdam, 1996.
  • 8申铁龙．H∞理论及应用[M]．清华大学出版社，1996．
  • 9Eva Gyurkovics, Tibor Takacs. Quadratic stabilisation with H∞-norm bound of nonlinear discrete-time uncertain systems with bounded control[J].Systems Control Letters, 2003, 50:277-289.

同被引文献16

  • 1程桂芳,李镇,丁志帅.增广PWA系统的奇异H_∞控制问题[J].数学的实践与认识,2007,37(2):81-85. 被引量：1
  • 2Kulev G K , Bainov D D. Strong stability of impulsive systems[J]. Int J Theor Phys , 1988, 277 745-755.
  • 3Joao P H , Liberzon D , Teel A R. On input-to-state stability of impulsive systems[C]. Proceedings of 44th IEEE Conference on Decesion and Control and the European Control Conference, Seville,2005.
  • 4Yao Jing, Guan Zhihong, Chen Guanrong, et al. Stability, robust stabilization and H∞ control of singular-impulsive systems via switching control[J]. Systems and Control Letters, 2006, 55 : 879-886.
  • 5Isidori A , Astolfi A. Disturbance attenuation and H∞ control via measurement feedback in nonlinear systems[J]. IEEE Transactions on Automatic Control, 1992,37 : 1283-- 1293.
  • 6Francis B A . A course in H∞ control theory[M]. New York: Springer-verlag, 1987.
  • 7Mu Xiaowu, Cheng Guifang. Singular H∞ control problem with finite Lz-gain of nonlinear discrete-time uncertain singular systems with boundedcontroller[J]. Dynamics of Continuous Discrete and Impulsive Systems, Series B: Applications and Algorithms DCDIS Proceedings, 2005( 2): 737-741.
  • 8Van der Schaft A J. On a state space approach to nonlinear H∞ control[J]. Systems and Control Letters, 1991,16:1-8.
  • 9申铁龙.H∞控制理论与应用[M].北京：清华大学出版社,1996..
  • 10Kulev G K,Bainov D D.Strong stability of impulsive systems[J].Int J Theor Phys,1988,27:745-755.

引证文献2

二级引证文献1

数学的实践与认识
2006年 第12期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部