\(L_{2}\) -gain analysis and control of saturated switched systems with a dwel

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• 作者：Guang-Xin Zhong (1)
  Guang-Hong Yang (2)
  
  1. College of Information Science and Engineering ; Northeastern University ; Shenyang ; Liaoning ; 110819 ; China
  2. State Key Laboratory of Synthetical Automation of Process Industries ; College of Information Science and Engineering ; Northeastern University ; Shenyang ; Liaoning ; 110819 ; China
  
• 关键词：Switched systems ; Actuator saturation ; Output feedback control ; Dwell time ; State ; dependent switching
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：80
• 期：3
• 页码：1231-1244
• 全文大小：378 KB
• 参考文献：1. Liberzon, D, Morse, AS (1999) Basic problems in stability and design of switched systems. IEEE Control Syst. 19: pp. 59-70 CrossRef
  2. Yang, H, Jiang, B, Cocquempot, V, Zhang, HG (2011) Stabilization of switched nonlinear systems with all unstable modes: applications to multi-agent systems. IEEE Trans. Autom. Control 56: pp. 2230-2235 CrossRef
  3. Yang, H, Cocquempot, V, Jiang, B (2008) Fault tolerance analysis for switched systems via global passivity. IEEE Trans. Circ. Syst. II: pp. 1279-1283 CrossRef
  4. Zhang, LX, Cui, NG, Liu, M, Zhao, Y (2011) Asynchronous filtering of discrete-time switched linear systems with average dwell time. IEEE Trans. Circ. Syst. l: pp. 1109-1118 CrossRef
  5. Wang, R, Shi, P, Wu, ZG, Sun, YT (2013) Stabilization of switched delay systems with polytopic uncertainties under asynchronous switching. J. Frankl. Inst. 350: pp. 2028-2043 CrossRef
  6. Zhang, D, Yu, L, Wang, QG, Ong, CJ (2012) Estimator design for discrete-time switched neural networks with asynchronous switching and time-varying delay. IEEE Trans. Neural Netw. Learn. Syst. 23: pp. 827-834 CrossRef
  7. Sun, XM, Liu, GP, Wang, W, Rees, D (2010) Stability analysis for networked control systems based on average dwell time method. Int. J. Robust Nonlinear Control 20: pp. 1774-1784 CrossRef
  8. Sun, XM, Zhao, J, Hill, DJ (2006) Stability and $$L_2$$ L 2 -gain analysis for switched delay systems: a delay dependent method. Automatica 42: pp. 1769-1774 CrossRef
  9. Deaecto, GS, Geromel, JC, Daafouz, J (2012) Dynamic output feedback $$H_\infty $$ H 鈭control of switched linear systems. Automatica 47: pp. 1713-1720 CrossRef
  10. Lian, J, Shi, P, Feng, Z (2013) Passivity and passification for a class of uncertain switched stochastic time-delay systems. IEEE Trans. Cybern. 43: pp. 3-13 CrossRef
  11. Ding, DW, Yang, GH (2010) $$H_{\infty }$$ H 鈭static output feedback control for discrete-time switched linear systems with avearage dwell time. IET Control Theory Appl. 4: pp. 381-390 CrossRef
  12. Lian, J, Feng, Z (2013) Passivity analysis and synthesis for a class of discrete-time switched stochastic systems with time-varying delay. Asian J. Control 15: pp. 501-511 CrossRef
  13. Wang, D, Shi, P, Wang, JL, Wang, W (2012) Delay-dependent exponential $$H_{\infty }$$ H 鈭filtering for discrete-time switched delay systems. Int. J. Robust Nonlinear Control 22: pp. 1522-1536 CrossRef
  14. Ding, DW, Yang, GH (2009) Finite frequency $$H_{\infty }$$ H 鈭filter for uncertain discrete-time switched linear systems. Prog. Nat. Sci. 19: pp. 1625-1633 CrossRef
  15. Cao, YY, Lin, ZL (2003) Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function. Automatica 39: pp. 1235-1241 CrossRef
  16. Zhou, B, Zheng, WX, Duan, GR (2011) Stability and stabilization of discrete-time periodic linear systems with actuator saturation. Automatica 47: pp. 1813-1820 CrossRef
  17. Hu, T, Lin, ZL, Chen, BM (2002) An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica 38: pp. 351-359 CrossRef
  18. Fang, HJ, Lin, ZL, Hu, TS (2004) Analysis of linear systems in the presence of actuator saturation and $$L_2$$ L 2 -disturbances. Automatica 40: pp. 1229-1238 CrossRef
  19. Zhao, XQ, Zhao, J (2014) $${L}_{2}$$ L 2 -gain analysis and output feedback control for continuous-time switched systems with actuator saturation. Nonlinear Dyn. 78: pp. 1357-1367 CrossRef
  20. Zhang, XQ, Zhao, J, Dimirovski, GM (2011) $$L_{2}$$ L 2 -gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation. Int. J. Control 84: pp. 1746-1758 CrossRef
  21. Zhang, XQ, Zhao, J, Dimirovski, GM (2012) $$L_2$$ L 2 -gain analysis and control synthesis of uncertain switched linear systems subject to actuator saturation. Int. J. Syst. Sci. 43: pp. 731-740 CrossRef
  22. Allerhand, LI, Shaked, U (2011) Robust stability and stabilzation of linear switched systems with dwell time. IEEE Trans. Autom. Control 56: pp. 381-386 CrossRef
  23. Allerhand, LI, Shaked, U (2013) Robust state-dependent switching of linear systems with dwell time. IEEE Trans. Autom. Control 58: pp. 994-1001 CrossRef
  24. Duan, C, Wu, F (2012) Output-feedback control for switched linear systems subject to actuator saturation. Int. J. Control 85: pp. 1532-1545 CrossRef
  25. Zheng, Q, Wu, F (2008) Output feedback control of saturated discrete-time linear systems using parameter dependent Lyapunov functions. Syst. Control Lett. 57: pp. 896-903 CrossRef
  26. Wu, F, Lin, ZL, Zheng, Q (2007) Output feedback stabilization of linear systems with actuator saturation. IEEE Trans. Autom. Control 52: pp. 122-128 CrossRef
  27. Gahinet, P, Nemirovski, A, Laub, A, Chilali, M (1995) LMI Control Toolbox Users Guide. mathorks Inc., USA
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

This paper investigates the \(L_{2}\) -gain analysis and control problem for switched systems with actuator saturation. A minimal dwell time constraint is first introduced, which avoids possible arbitrarily fast switching. Then, to satisfy the mentioned constraint, a switching strategy depending only on a lower bound of the dwell time and partial measurable states of the closed-loop system is developed in output feedback framework, which extends previous results in state feedback framework. Further, under the proposed switching strategy, time-varying hull controllable regions and saturated output feedback controllers working on them are constructed such that the closed-loop system has a prescribed \(L_{2}\) -gain. Meanwhile, the states of the system starting from the origin will remain inside a time-varying ellipsoid determined by a discretized Lyapunov matrix function. In addition, the resulting ellipsoid is also proven to be between two time-invariant ellipsoids. A solution of the considered problem is given via a linear matrix inequality formulation. Finally, an example is exploited to illustrate the effectiveness of the theoretical results.