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

一类不确定离散系统的混杂状态反馈二次稳定保成本控制 被引量：1

Hybrid Guaranteed Cost Control with Quadratic Stability for a Class of Uncertain Discrete Systems
下载PDF
导出
摘要 针对一类不确定离散系统,对二次稳定保成本控制问题进行了研究.假设存在有限个备选的控制增益已知的控制器,利用公共Lyapunov函数技术,得到了在任意切换下混杂状态反馈二次稳定保成本控制的充分条件.基于单Lyapunov函数的方法,通过在这有限个控制器之间切换给出了混杂状态反馈二次稳定保成本控制的充分条件及切换律的设计方案.最后用仿真验证了这一方法的有效性. Discusses hybrid state feedback guaranteed cost control with quadratic stability for a class of uncertain discrete systems of which the state matrix contains time-varying uncertainties. Assuming that there is a limited number of candidate controllers with known gain matrices and using the common Lyapunov function, a sufficient condition is derived to hybrid guaranteed cost control with quadratic stability under arbitrary switching laws. Then, based on the single Lyapunov function method, relevant sufficient conditions and conceptual design of switching rule are both given. A simulation demonstrated the effectiveness of the proposed method.
作者 孙文安 冯佳昕 付俊 赵军
机构地区 东北大学教育部暨辽宁省流程工业综合自动化重点实验室 上海财经大学信息管理与工程学院
出处 《东北大学学报（自然科学版）》 EI CAS CSCD 北大核心 2005年第11期1021-1024,共4页 Journal of Northeastern University(Natural Science)
基金 国家自然科学基金资助项目(6027400960574013) 教育部高等学校博士学科点专项科研基金资助项目(20020145007) 辽宁省自然科学基金资助项目(20032020)
关键词 离散系统 混杂状态反馈 保成本控制 切换律 LYAPUNOV函数 二次稳定 discrete systems hybrid state feedback guaranteed cost control switching law Lyapunov function quadratic stability
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献10

  • 1Nie H, Zhao J. Hybrid state feedback H∞ robust control for a class of linear systems with time-varying norm-bounded uncertainty[A].Proceedings of the American Control Conference[C].Denver, 2003.3608-3613.
  • 2Zhao J, Spong M W. Hybrid control for global stabilization of the cart-pendulum system[J].Automatica, 2001,37(12):1941-1951.
  • 3Zhao J, Dimirovski G M. Quadratic stability of a class of switched nonlinear systems[J].IEEE Trans Automat Contr, 2004,49(4):574-578.
  • 4Liberzon D, Morse A S. Basic problems in stability and design of switched systems[J].IEEE Control System Magazine, 1999,19(5):59-70.
  • 5Lam H K, Fran H F, Peter K S. A switching controller for uncertain nonlinear systems[J].IEEE Control System Magazine, 2002,22(1):7-14.
  • 6Zhai G. Improving closed-loop stability of second-order LTI systems by hybrid static output feedback[A].Proceeding of the IEEE CDC[C].Las Vegas, 2002.2792-2797.
  • 7孙文安,孙希明,赵军.线性切换系统二次稳定的一个充分条件[J].东北大学学报（自然科学版）,2004,25(11):1024-1026. 被引量：6
  • 8Decarlo R A, Branicky M S, Pettersson S, et al. Perspectives and results on the stability and stabilizability of hybrid system[J].Proceedings of the IEEE, 2000,88(7):1069-1082.
  • 9Chang S S L, Peng T K C. Adaptive guaranteed cost control of systems with uncertain parameters[J].IEEE Transaction on Automatic Control, 1972,17(4):474-483.
  • 10Yu L, Chu J. An LMI approach to guaranteed cost control of linear uncertain time-delay systems[J].Automatica, 1999,35(6):1155-1159.

二级参考文献10

  • 1[1]Liberzon D, Morse A S. Basic problems in stability and design of switched systems[J]. IEEE Control System Magazine, 1999,19(5):59-70.
  • 2[2]Decarlo R A, Branicky M S. Perspectives and results on the stability and stabilizability of hybrid system[J]. Proceedings of the IEEE, 2000,88(7):1069-1082.
  • 3[3]Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems[J]. IEEE Transactions on Automatic Control, 1998,43(4):475-482.
  • 4[5]Skafidas E, Evans R J, Savkin A V, et al. Stability results for switched controller systems[J]. Automatica, 1999,35:553-564.
  • 5[6]Zhai G, Lin H. Quadratic stabilizability of switched linear systems with polytopic uncertainties[J]. Int J Control, 2003,76(7):747-753.
  • 6[7]Shorter R, Narendra K S, Mason O. A result on common quadratic Lyapunov functions[J]. IEEE Transitions on Automatic Control, 2003,48(1):110-113.
  • 7[8]Hu B, Zhai G, Miche A N. Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems[J]. INT J Control, 2002,75(14):1127-1135.
  • 8[9]Mao W, Chu J. Quadratic stability and stabilization of dynamic internal systems[J]. IEEE Trans Automat Contr, 2003,48(6):1007-1012.
  • 9[10]Pettersson S. Synthesis of switched linear systems[A]. Proceedings of the 42nd IEEE Conference on Decision and Control[C]. Maui, 2003.5283-5288.
  • 10[11]Xie D. Wang L. Robust stability analysis and control synthesis for discrete-time uncertain switched systems[A]. Proceedings of the 42nd IEEE Conference on Decision and Control[C]. Maui, 2003.4812-4817.

共引文献5

同被引文献9

  • 1孙希明,齐丽,赵军.一类不确定线性系统的混杂状态反馈保成本控制[J].控制与决策,2005,20(4):421-425. 被引量：8
  • 2Liberzon D,Morse A S.Basic problems in stability and design of switched systems[J].IEEE Control System Magazine,1999,19(5):59-70.
  • 3Decarlo R A,Branicky M S,Pettersson S,et al.Perspectives and results on the stability and stabilizability of hybrid system[J].Proceedings of the IEEE,2000,88(7):1069-1082.
  • 4Xie D,Wang L,Hao F,et al.LMI approach to L2 gain analysis and control synthesis of uncertain switched systems[J].IEE Proceedings-Control Theory Application,2004,151(1):21-28.
  • 5Jamal D,Riedinger P,Claude I.Stability analysis and control synthesis for switched systems:a switched Lyapunov function approach[J].IEEE Transactions on Automatic Control,2002,47(11):1883-1886.
  • 6Zhai G.Quadratic stabilizability of discrete-time switched systems via state and output feedback[A].Proceedings of the 40th IEEE Conference on Decision and Control[C].Orlando,2001.2165-2166.
  • 7Ji Z,Wang L,Xie G.New results on the quadratic stabilization of switched linear systems[A].Proceedings of the 42th IEEE Conference on Decision and Control[C].Maui,2003.1657-1662.
  • 8Sun Z.Stabilizability and insensitivity of switched linear systems[J].IEEE Transactions on Automatic Control,2004,49(7):1133-1137.
  • 9Pettersson S.Synthesis of switched linear systems[A].Proceedings of the 42th IEEE Conference on Decision and Control[C].Maui,2003.5283-5288.

引证文献1

东北大学学报（自然科学版）
2005年 第11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