Sliding Mode Control Design for Uncertain Singular Systems

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Abstract:

This paper addresses the problem of sliding mode control design and adaptive sliding mode control design for robust stabilization of uncertain singular systems with guaranteed control performance. Based on the Lyapunov stability theorem, we solve two sufficient conditions for stabilization of the uncertain singular systems. The proposed sliding mode controller and adaptive sliding mode controller can reduce the effect of uncertainty. An electrical system is given to illustrate the validity of the proposed scheme. Simulation result shown that the adaptive sliding mode control design is better than sliding mode control design case.

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16-20

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December 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] L. Dai: Singular control systems, Lecture notes in control and information sciences (Springer-Verlag, New York 1989).

Google Scholar

[2] L. Zhang, B. Huang and J. Lam: LMI synthesis of and Mixed controllers for singular systems, IEEE Trans. Circuits and systems II: Analog and digital signal processing, Vol. 50 (2003), pp.615-626.

DOI: 10.1109/tcsii.2003.816904

Google Scholar

[3] C. H. Sun, W. J. Wang and Y. J. Chen: A descriptor system approach to fuzzy guaranteed cost control system design, Proc. of the IEEE International Conf. on fuzzy syst., Jeju Island, Korea, August 20-24 (2009) pp.1288-1293.

DOI: 10.1109/fuzzy.2009.5277090

Google Scholar

[4] H. H. Choi: Robust stabilization of uncertain fuzzy systems using variable structure system approach, IEEE Trans. Fuzzy Syst., Vol. 16 (2008), pp.715-724.

DOI: 10.1109/tfuzz.2007.905913

Google Scholar

[5] W. Assawinchaichote and S. K. Nguang: Fuzzy output feedback control design for singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Trans. Fuzzy Syst., Vol. 14 (2006), pp.361-371.

DOI: 10.1109/tfuzz.2006.876328

Google Scholar

[6] Y. Xia and Y. Jia: Robust sliding-mode control for uncertain time-delay systems: An LMI approach, IEEE Trans. Automat. Contr., Vol. 48 (2003), pp.1086-1092.

DOI: 10.1109/tac.2003.812815

Google Scholar

[7] G. Tao: Adaptive control design and analysis (John wiley&Sons, Inc., Hoboken, New Jersey, USA 2003).

Google Scholar

[8] I. R. Petersen: A stabilization algorithm for a class of uncertain linear systems, Syst. Contr. Lett., Vol. 8 (1987), pp.351-357.

Google Scholar