期刊文献+

一类线性切换系统的非脆弱控制器设计方法 被引量:3

Design Methods of Non-fragile Controllers for a Class of Linear Switched Systems
下载PDF
导出
摘要 研究一类线性切换系统的非脆弱控制器的设计问题。分别考虑当系统的控制器增益存在加性摄动和乘性摄动时,利用公共Lyapunov函数法给出切换闭环系统混杂状态反馈控制器存在的条件,并通过变量替换和Schur补引理将非脆弱控制器的设计问题转换为线性矩阵不等式(LMI)的求解问题。通过仿真证实所提方法的有效性。 Non-fragile controllers of a class of linear switched systems was studied.Considering the controller gains to be designed is assumed to have additive and mutiplicative gain variations,a condition for the existence of non-fragile hybrid state-feedback controller of closed-loop switched system.The corresponding results are all given in terms of linear matrix inequalities(LMI) by means of wariable substitution and Schur complement theorem.The validity of the conclusion was proved by the simulation results.
作者 李春娟 何墉
出处 《计算技术与自动化》 2010年第2期11-14,共4页 Computing Technology and Automation
基金 河南省教育厅自然科学研究计划项目(2008B510016)
关键词 线性切换系统 公共Lyapunov函数 非脆弱控制器 linear switched system common lyapunov function non-fragile controller
  • 相关文献

参考文献6

  • 1LIBERZON D. Switching in systems and Control[M]. Boston:Birkhauser, 2003.
  • 2SUN Z D. Stabilization and optimization of switched linear systems. [J]. IEEE Transaetion on Automatic Control, 2006,51(4) :666-674.
  • 3董学平,王执铨.一类不确定切换系统的鲁棒可靠控制[J].应用科学学报,2008,26(2):204-208. 被引量:3
  • 4KEEL L H, S P Bhattacharyyaa. Robust, fragile, or optimal [J]. IEEE Trans on Automatic Control, 1997, 42(8) : 1098 -1110.
  • 5汪锐,冯佳昕,赵军.一类线性不确定切换系统的非脆弱控制器设计方法[J].控制与决策,2006,21(7):735-738. 被引量:19
  • 6YANG G H, WANG J L,LIN C. H∞ Control for linear systems with additive controller gain variations[J]. International Journal of control, 2000,73(16) : 1500- 1506.

二级参考文献20

  • 1林瑞全,杨富文.基于H_∞控制理论的非脆弱控制的研究[J].控制与决策,2004,19(5):598-600. 被引量:34
  • 2王福忠,姚波,张嗣瀛.线性系统区域稳定的可靠控制[J].控制理论与应用,2004,21(5):835-839. 被引量:61
  • 3Liberzon D. Switching in Systems and Control[M].Boston:Birkhauser, 2003.
  • 4Sun Z D, Ge S S. Switched Linear Systems Control and Design[M]. New York: Springer -Verlag, 2004.
  • 5Zhao J, Spong M W. Hybrid Control for Global Stabilization of the Cart-pendulum System [J].Automatica, 2001, 37(12):1941-1951.
  • 6Zhao J, Dimirovski G M. Quadratic Stability of a Class of Switched Nonlinear Systems [J]. IEEE Trans on Automatic Control, 2004, 49(4):574-578.
  • 7Xie G M, Wang L. Necessary and Sufficient Conditions for Controllability and Observability of Switched Impulsive Control Systems [J]. IEEE Trans on Automatic Control, 2004, 49(6) : 960-966.
  • 8Zhai G S, Hu B, Asuda K, et al. Disturbance Attenuation Properties of Time-controlled Switched Systems[J]. J of the Franklin Institute, 2001, 338(7) :765-779.
  • 9Hespanha J P, Mors.e A S. Stability of Switched Systems with Average Dwell-time[A]. Proc of the 38th IEEE Conf on Decision and Control [C]. Phoenix,1999: 2655-2660.
  • 10Ishii H, Francis B A. Stabilizing a Linear System by Switching Control with Dwell Time[J]. IEEE Trans on Automatic Control, 2002, 47(12) : 1962-1973.

共引文献19

同被引文献25

  • 1汪锐,冯佳昕,赵军.一类线性不确定切换系统的非脆弱控制器设计方法[J].控制与决策,2006,21(7):735-738. 被引量:19
  • 2汪锐,刘建昌,赵军.一类线性不确定切换时滞系统的可靠保成本控制[J].控制理论与应用,2006,23(6):1001-1004. 被引量:14
  • 3洪晓锋,孙洪飞.切换系统容错控制的研究[J].厦门大学学报(自然科学版),2007,46(2):183-186. 被引量:10
  • 4郭彩霞,向峥嵘.MIMO网络控制系统的控制器设计[J].控制工程,2007,14(3):263-265. 被引量:6
  • 5Morse A S. Supervisory control of families of linear set-pointcontrollers—part 1: exact matching[j]. IEEE Transactionson Automatic Control, 1996,41(10) :1413 — 1431.
  • 6Balluchi A, Benvenuti L. Automotive engine control andhybrid system: challenges and opportunities[J]. Proceedingsof the IEEE, 2000,88(7):888-912.
  • 7Branicky M S. Multiple Lyapunov functions and otheranalysis tools for switched and hybrid systems [ J]. IEEETransactions on Automatic Control, 1998, 43 ( 4) : 475 —482.
  • 8Ji Z J,Guo X X,Wang L, et al . Robust Hoc control andstabilization of uncertain switched linear systems : a multipleLyapunov functions approach [ J]. Transactions of theASME: Journal of Dynamic Systems, Measurement andControl, 2006,128(3):696 — 700.
  • 9Niamsup P. Controllability approach to Hoc control problemof linear time-varying switched systems [ J]. NonlinearAnalysis : Hybrid Systems,2008,2(3) :875 — 886.
  • 10Xiang Z, Xiang W. Stabilization of a class of switchednonlinear systems with average dwell-time[ C]// Proceedingsof the World Congress on Intelligent Control andAutomation. Chongqing, 2008 : 1673 - 1676.

引证文献3

二级引证文献6

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