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非线性切换系统不变集的输出反馈镇定 被引量：4

Output Feedback Stabilization of Invariant Sets for Nonlinear Switched Systems
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摘要 利用一个非负函数V(x)提出一个新的输入输出对状态稳定的概念—输入输出对V(x)稳定.基于这一概念并结合系统无源性的结论,提出了一类非线性切换系统不变集可输出反馈镇定的充分条件.利用统一Lyapunov函数和多Lyapunov函数给出了定理的证明.最后,详细讨论了输入输出对V(x)稳定与输入输出对状态稳定的关系. A novel concept of input/output-to-state stability, i.e., input/output-to-V（x） stability, is proposed by using a nonnegative function V（x）. By virtue of this notion and passivity results, sufficient conditions under which an invariant set of a class of nonlinear switched systems can be stabilized by output feedback controllers are proposed. The stability results are proved by using common Lyapunov function and multiple Lyapunov functions respectively. Finally, the relationship between input/output-to-V（x） stability and input/output-to-state stability is discussed in detail.
作者 林相泽 李世华 邹云
机构地区 南京理工大学自动化学院 东南大学自动化学院
出处 《自动化学报》 EI CSCD 北大核心 2008年第7期784-791,共8页 Acta Automatica Sinica
基金 国家自然科学基金(60504007) 南京农业大学引进人才启动基金(RCQD06-03)资助~~
关键词 输入输出对状态稳定 输入输出对V(x)稳定 不变集 输出反馈 统一Lyapunov函数 多LYAPUNOV函数 Input/output-to-state stability, input/output-to-V（x） stability, invariant sets, output feedback, common Lyapunov function, multiple Lyapunov functions
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献29

  • 1Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control, 1998, 43(4): 475-482.
  • 2赵军,聂宏.切换系统输入对状态稳定性的充分条件(英文)[J].自动化学报,2003,29(2):252-257. 被引量：24
  • 3Hespanha J P. Uniform stability of switched linear systems: extensions of LaSalle's invariance principle. IEEE Transactions on Automatic Control, 2004, 49(4): 470-482.
  • 4Hespanha J P, Liberzon D, Angeli D, Sontag E D. Nonlinear norm-observability notions and stability of switched systems. IEEE Transactions on Automatic Control, 2005, 50(2): 154-168.
  • 5Liberzon D, Morse A S. Basic problems in stability and dasign of switched systems. IEEE Control Systems Magazine, 1999, 19(5): 59-70.
  • 6Orlov Y. Finite time stability and robust control synthesis of uncertain switched systems. SIAM Journal on Control and Optimization, 2005, 43(4): 1253-1271.
  • 7Chatterjee D, Liberzon D. Stability analysis of deterministic and stochastic switched systems via a compariason principle and multiple Lyapunov functions. SIAM Journal on Control and Optimization, 2006, 45(1): 174-206.
  • 8Bacciotti A, Mazzi L. An invaxiance principle for nonlinear switched systems. Systems and Control Letters, 2005, 54(11): 1109-1119.
  • 9Mancilla-Aguilar J L, Garcia R A. An extension of LaSalle's invariance principle for switched systems. Systems and Control Letters, 2006, 55(5): 376-384.
  • 10Cheng D Z, Wang J H, Hu X M. Stabilization of switched linear systems via LaSalle's invariance principle. In: Proceedings of IEEE International Conference on Control and Automation. Guangzhou, China: IEEE, 2007. 1-6.

二级参考文献64

  • 1程代展,陈翰馥.从群集到社会行为控制[J].科技导报,2004,22(8):4-7. 被引量：32
  • 2OOBA T,FUNAHASHI Y.On a common quadratic Lyapunov function for widely distant systems [J].IEEE Trans on Automatic Control,2003,42(12):1697-1699.
  • 3VU L,LIBERZON D.Common Lyapunov functions for a families of commuting nonlinear systems [J].Systems & Control Letters,2005,54(5):405-416.
  • 4MORSE A S.Supervisory control of families of linear set-point controllers part 1:exact matching [J].IEEE Trans on Automatic Control,1996,41(9):1413-1431.
  • 5BALLUCHI A,Di BENEDETTO M D,PONELLO C,et al.Hybrid control in automative applications:the cut-off control [J].Automatica,1999,35(3):519-535.
  • 6SUN Z.Stabilization and insensitivity of switched linear systems [J].IEEE Trans on Automatic Control,2004,49(7):1133-1137.
  • 7MORI Y,MORI T,KUROE Y.On a class of linear constant systems which have a common quadratic Lyapunov function [C]//Proc of the 37th IEEE Conf on Decision and Control.Tampa,Florida:IEEE Press,1998,3:2808-2809.
  • 8MORI Y,MORI T,KUROE Y.Some new subclasses of systems having a common quadratic Lyapunov function and comparison of known subclasses [C]//Proc of the 40th IEEE Conf on Decision and Control.Orlando Florida:IEEE Press,2001,3:2179-2180.
  • 9NARENDERA K S,BALAKRISHNAN J.A common Lyapunov function for stable LTI systems with commuting A-matrices [J].IEEE Trans on Automatic Control,1994,39(12):2469-2471.
  • 10ZHANG L,CHENG D,LIU J.Stabilization of linear switched systems [J].Asian J of Control,2003,5(4):476-484.

共引文献79

同被引文献43

  • 1惠晶.绕线机步进驱动自动控制系统[J].电气传动,2005,35(8):56-59. 被引量：13
  • 2程代展,郭宇骞.切换系统进展[J].控制理论与应用,2005,22(6):954-960. 被引量：57
  • 3LIBERZON D, MORSE A S. Basic problems in stability and design of switched systems[J]. IEEE Control Systems Magazine, 1999, 19(5): 59 - 70.
  • 4ZHAO J, HILL D J. Passivity and stability of switched systems: A multiple storage function method[J]. Systems & Control Letters, 2008, 57(2): 158 - 164.
  • 5SUN Z, GE S S. Analysis and synthesis of switched linear control systems[J]. Automatica, 2005, 41(2): 181 - 195.
  • 6HESPANHA J P, LIBERZON D, ANGELI D, et al. Nonlinear normobservability notions and stability of switched systems[J], IEEE Transactions on Automatic Control, 2005, 50(2): 154 - 168.
  • 7BACCIOTTI A, MAZZI L. An invariance principle for nonlinear switched systems[J]. Systems & Control Letters, 2005, 45(11): 1109 - 1119.
  • 8MANCILLA AGUILAR J L, GARCIA R A. An extension of LaSalle's invariance principle for switched systems[J]. Systems Control Letters, 2006, 55(5): 376 - 384.
  • 9WANG J, CHENG D Z. Extensions of LaSalle's invariant principle for switched nonlinear systems[C]//Proceedings of the 17th World Congress, the International Federation of Automatic Control. Seoul Korea: [s.n.], 2008:14397 - 14402.
  • 10BYRNES C I, ISIDORI A, WILLEMS J C. Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems[J]. IEEE Transactions on Automatic Control, 1998, 36(11): 1228 - 1240.

引证文献4

二级引证文献18

自动化学报
2008年 第7期

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