期刊文献+

不确定非线性系统的鲁棒耗散性与保性能控制 被引量:2

Robust dissipative control and guaranteed cost control for uncertain nonlinear systems
下载PDF
导出
摘要 考虑了不确定仿射非线性系统的鲁棒耗散性与保性能控制问题,不确定性范数有界,不满足匹配条件.基于HJI不等式,设计了状态反馈控制器.当扰动存在时,控制器能使系统达到耗散,当扰动为零时,所设计的控制器使系统对于给定的性能函数具有上界,最后研究了不确定线性系统的保性能与耗散性控制情形. The problem of robust dissipative control and guaranteed cost control for uncertain nonlinear systems was considered. The uncertainties were norm bounded, and did not satisfy matching conditions. Based on HJI, a state feedback controller was constructed which rendered the closed-loop system dissipative when there existed disturbances in systems, and also guaranteed the given cost bounded for the closed-loop system without the disturbances in systems. Finally, robust dissipative was investigated and control problem for uncertain linear systems was guaranteed.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2003年第6期938-942,共5页 Control Theory & Applications
基金 国家自然科学基金项目(60274023).
关键词 鲁棒耗散性 保性能控制 不确定非线性系统 状态反馈控制器 nonlinear systems dissipative control guaranteed cost control
  • 相关文献

参考文献10

  • 1[1]ISIDORI A. Dissipative inequalities in nonlinear H∞ control [ A].Proc 31st Conf on Decision Control [ C]. Tucson, AZ: [ s. n. ],1992: 3265 - 3270.
  • 2[2]SHEN Tielong. H ∞ Control Theory and Application [M]. Beijing:Tsinghua University Press, 1996.
  • 3[3]LIN W, SHEN T L. Robust passivity and feedback design for minimum-phase nonlinear systems with structural uncertainty [ J ]. Automatica, 1999,35(1): 35-47.
  • 4[4]XIE Shoulie, XIE Lihua, de SOUZA CARLIS D E. Robust dissipative Control for linear systems with dissipative uncertainty [J]. Int J Control, 1998,70(6) :770 - 783.
  • 5[5]CHANG S S L, PENG T K C. Adaptive guaranteed cost control of systems with uncertain parameters [ J ]. IEEE Trans on Automatic Control, 1972,17 (4):356- 361.
  • 6[6]PETERSEN I R, McFARLANE D C. Optimal guaranteed cost control and filtering for uncertain linear systems [ J ]. IEEE Trans on Automatic Control, 1994,39(9): 1971 - 1977.
  • 7[7]PETER I R. Guaranteed cost LQG control of uncertain linear systems[J]. IEE proc Control Theory and Applications, 1995, 142( 1 ): 183- 188.
  • 8[8]VALERY A U, IAN R P. Guaranteed cost control of uncertain systems via Lur' e-Postnikov Lyapunov functions [ J ]. Automatica,2000,36(2) :279 - 285.
  • 9[9]WASSIM M H, VIJAYA-SEKHAR C, JERRY L F. Robust nonlinear feedback control for uncertain linear systems with nonquadratic performance criteria [ J]. Systems and Control Letters, 1998,33(5):327-338.
  • 10[10]WASSIM M H, VIJAYA-SEKHAR C, JERRY L F. Optimal nonlinear robust control for non-linear uncertain systems [ J ]. Int J Control, 2000,73(4) :329 - 342.

同被引文献19

  • 1XIE L, SOH Y C. Positive real control problem for uncertain linear time-invariant systems [ J ]. Systems Control and Letters, 1995,24(4) :265-271.
  • 2ANDERSON B D O. The small-gain theorem, the pasitive theorem and their equiva lence[J]. Franklin Inbt, 1972, 293 (2) :105-115.
  • 3ZHANG L Q, LAM J, XU S Y. On positive realness of descriptor systems[J]. IEEE Trans on Cricuits and Systems-Ⅰ: Fundamental Theory and Applications, 2002,49 (3) :401-407.
  • 4BRIERLEY S D, CHIASSON J N, LEE B E, et al. On stability independent of delay [ J ]. IEEE Trans Automat Contr, 1982, AC-27(1) :252-254.
  • 5LEE Y S, MOON Y S, KWON W H, et al. Delay-dependent robust H∞ control for uncertain systems with a state-delay [ J ]. Automatica,2004,40 : 65-72.
  • 6MAGDI S Mahoud, MOHAMED Zribi. Passive control synthesis for uncertain systems with multiple-state delays [ J ]. Computers and Electrical Englneering,2002,28 : 195-216.
  • 7SINGH V. Robust stability of cellular neural networks with delay: linear inequality approach [ J ]. IEE Proc Control Theory Appl,2004,151 : 125-129.
  • 8BOYD L, GHAOUI El, BALADRISHNAN V. Linear matrix inequalities in system and control theory[ M ]. Philadelphia: SIAM, 1994.
  • 9GU K, KHARITONNOV VL, CHEN J. Staility of time-delay systems[ M]. Massachusetts: Birkhauser,2003.
  • 10毕永建,王永.弹性体导弹鲁棒控制器设计[J].电光与控制,2008,15(4):27-30. 被引量:7

引证文献2

二级引证文献5

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