Reliable Η_∞ Control for Discrete-Time Switched Linear Systems with Intermittent Measurements

Abstract:

In this paper, a scheme of reliable control for switched linear systems with intermittent measurements is developed. The stochastic variable is assumed to be a Bernoulli distributed white sequence appearing in measured output. Sufficient conditions for the existence of the switched observer and the switched controller are derived in terms of linear matrix inequalities (LMIs), which can maintain the closed-loop system is stochastically stable with a prescribed performance level.

• Periodical: Advanced Materials Research (Volumes 181-182)
• Pages: 145-150
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.181-182.145
• Online since: January 2011
• Authors: Dong Sheng Du
• Keywords: Failure, Intermittent Measurements, Reliable Ccontrol, Switched Linear Systems

References

[1] D. Liberzon and A. S. Morse. Basic problems in stability and design of switched systems[J], IEEE Transactions on Control System Magazine, 19: 59-70. (1999).

[2] Z. Sun and S. S. Ge. Analysis and synthesis of switched linear control systems[J], Automatica, 41: 181-195. (2005).

DOI: 10.1016/j.automatica.2004.09.015

[3] J. Zhao and G. M. Dimirovski. Quadratic stability of a class of switched nonlinear systems[J], IEEE Transactions on Automatic Control, 49(4): 574-578. (2004).

DOI: 10.1109/tac.2004.825611

[4] L. Zhang, P. Shi, E. K. Boukas, and C. Wang. Robust filtering for switched linear discrete time-delay systems with polytopic uncertainties[J], IET Control Theory and Applications, 1(3): 722-730. (2007).

DOI: 10.1049/iet-cta:20060127

[5] G. H. Yang, J. L. Wang, and Y. C. Soh. Reliable controller design for linear systems[J], Automatica, 37: 717-725. (2001).

DOI: 10.1016/s0005-1098(01)00007-3

[6] C. S. Hsieh. Reliable control design using a two-stage linear quadratic reliable control[J], IEE Proc. Control Theory Appl., 150(1 ): 77-82. (2003).

DOI: 10.1049/ip-cta:20030008

[7] S. L. Dai, H. Lin, and S. S. G. Robust stability of discrete-time switched delay systems and its application to network-based reliable control[C], American Control Conference Hyatt Regency Riverfront, St. Louis, MO, USA June 10-12. (2009).

DOI: 10.1109/acc.2009.5160108

[8] R. Wang, M. Liu, and J. Zhao: Reliable control for a class of switched nonlinear systems with actuator failures[J], NonlinearAnalysis: Hybrid Systems, 1: 317-325. (2007).

DOI: 10.1016/j.nahs.2006.11.002

[9] S. Liu and D. H. Zhou. Reliable control for a class of switched systems with dwell time considerations against sensor faults[C], Chinese Control and Decision Conference, 490-495. (2008).

DOI: 10.1109/ccdc.2008.4597359

[10] D. W. C. Ho and G. Lu. Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach[J], Int. J. Control, 76(2): 105-115. (2003).

DOI: 10.1080/0020717031000067367