Relaxed T-S Fuzzy Control Design by Descriptor System Approach

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Abstract:

In this paper, the descriptor system based concept is applied to the stabilization for a discrete T-S fuzzy system. The control input vector and state vector are combined to the descriptor system form which leads to fewer Lyapunov inequalities (lower computation demand) than traditional T-S fuzzy stability criteria. Also, the non-parallel distributed compensation (non-PDC) and slack variables are adapted to relax the proposed stability conditions. Finally, the computation effectiveness the proposed stability criterion is demonstrated by a numerical example.

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1180-1183

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December 2012

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] K. Tanaka and H. O. Wang, in: Fuzzy Control System Design and Analysis: A Linear Matrix Inequality Approach, New York: Wiley, (2001).

Google Scholar

[2] T. M. Guerra and L. Vermeiren, Automatica, Vol. 40, (2004), p.823.

Google Scholar

[3] B.C. Ding, H.X. Sun, and P. Yang, Automatica, Vol. 42, (2006), p.503.

Google Scholar

[4] K. Tanaka, H. Ohtake, and H. O. Wang, IEEE T Fuzzy Syst., Vol. 15, (2007), p.333.

Google Scholar

[5] H. K. Lam and B. W. K. Lin, Int. J Fuzzy Syst., Vol. 10, (2008), p.61.

Google Scholar

[6] K. Guelton, T. Bouarar, and N. Manamanni, Fuzzy Set. Syst., Vol. 160, (2009), p.279.

Google Scholar

[7] E. Kim, IEEE T Fuzzy Syst., Vol. 8, (2000), p.523.

Google Scholar