Hinf Control of Uncertain Takagi-Sugeno Fuzzy Descriptor Systems

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Abstract:

This paper focuses on the problem of Hinf control for uncertain Takagi-Sugeno fuzzy descriptor system with time-invariant norm-bound uncertainty. Sufficient condition for robust Hinf control with state feedback is derived. It is shown that the control laws can be obtained by solving a set of linear matrix inequalities (LMIs) which is numerically tractable with commercially available software. Numerical example is given to demonstrate the advantage of the proposed method.

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Periodical:

Advanced Materials Research (Volumes 694-697)

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2110-2115

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May 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] L. Wang, G. Feng, Piecewise Hinf controller design of discrete time fuzzy systems, IEEE Trans. Syst., Man, Cybern., vol.SMC-33(2003), pp.1-5.

Google Scholar

[2] Wang, Ping, T-S model-based nonlinear moving-horizon Hinf control and applications, Fuzzy Sets and Systems, vol.212(2012), pp.78-96.

DOI: 10.1016/j.fss.2012.06.002

Google Scholar

[3] Huang, Chih-Peng, Stability analysis and controller synthesis for fuzzy descriptor systems, International Journal of systems Science, vol.44,(2013), pp.23-33.

DOI: 10.1080/00207721.2011.577248

Google Scholar

[4] T. Taniguchi, K. Tanaka, K. Yamafuji and H.O. wang, Fuzzy descriptor systems: stability analysis and design via LMIs, Proceedings of the American Control Conference, San Diego, California, (1999), pp.1827-1831.

DOI: 10.1109/acc.1999.786165

Google Scholar

[5] T. Taniguchi, K. Tanaka and H.O. Wang, Fuzzy descriptor systems and nonlinear model following control, IEEE Trans. Fuzzy Syst, vol.8(2000), pp.442-452.

DOI: 10.1109/91.868950

Google Scholar

[6] Hassan,Lama, H∞ observers design for a class of nonlinear time-delay system in descriptor form, International Journal of Control, vol.84(2000), pp.1653-1663.

DOI: 10.1080/00207179.2011.622793

Google Scholar

[7] E. Fridman, U. Shaked, A descriptor system approach to H∞ control of linear time-delay systems, IEEE Trans. Automatic Control, vol.47(2002), pp.253-270.

DOI: 10.1109/9.983353

Google Scholar

[8] Feng, Yu, H∞ control with unstable and non proper weights for descriptor systems, Automatica, vol.48(2012), pp.991-994.

Google Scholar

[9] G.H. Yang, J.L. Wang, Non-fragile nonlinear H∞ control via dynamic output feedback, Proceedings of the American Control Conference, Denver, Colordo, (2003), pp.2967-2972.

DOI: 10.1109/acc.2003.1243776

Google Scholar

[10] J.C. Huang, H.S. Wang, F.R. Chang, Robust H∞ control for uncertain linear time-invariant descriptor systems, IEE Proc.- Control Theory Appl., vol.147(2000), pp.648-654.

DOI: 10.1049/ip-cta:20000751

Google Scholar

[11] Y. Jun, I. Akira, H∞ control for Takagi-Sugeno fuzzy descriptor systems, IEEE Conf. Sys. Man, Cybern., Koky, Japan, (1999), pp.28-33.

Google Scholar