Design of Output Feedback Controller for Switched Fuzzy Systems with Time-Delay

Article Preview

Abstract:

This paper investigates the problems of stabilization and control for time-delay switched fuzzy systems using output feedback controller. Based on the linear matrix inequality (LMI) technique, multiple Lyapunov method is used to obtain a sufficient condition for the existence of the controller for the output feedback. Then an algorithm is constructed to transform the sufficient condition into a LMI form, thus obtaining a method for designing the controller. The designed controller guarantees the closed-loop system to be asympototically stable. A numerical example is given to show the effectiveness of our method.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1443-1446

Citation:

Online since:

September 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Z. D. Sun, S. S. GE: Switched linear systems: control and design (Springer-Verlag, London, 2005).

Google Scholar

[2] D. Liberzon, and A. S. Morse: Basic Problems in Stability and Design of Switched Systems. IEEE Control System Magazine. Vol. 19, no. 5 (1999) pp.59-70.

Google Scholar

[3] Z. D. Sun, S. S. GE: Analysis and Synthesis of Switched Linear Control Systems. Automatica. Vol. 41, no. 2 (2005) pp.181-195.

DOI: 10.1016/j.automatica.2004.09.015

Google Scholar

[4] C. Fang, Y. Sheng, S. Kau, L. Hong, and C. Lee: A New LMI-based Approach to Relaxed Quadratic Stabilization of Ts Fuzzy Control Systems. IEEE Transactions on Fuzzy Systems. Vol. 14, no. 3 (2006) pp.386-397.

DOI: 10.1109/tfuzz.2006.876331

Google Scholar

[5] C. F. Huang, M. H. L. Wang, and C. W. Chen: Managing Target the Cash Balance in Construction Firms Uusing a Fuzzy Regression Approach. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. Vol. 17 (2009) pp.667-684.

DOI: 10.1142/s0218488509006200

Google Scholar

[6] M. Kchaou, M, Souissi, and A. Toumi: Robust H∞ Static Output Feedback Control Design for Discrete-time Fuzzy Systems with Disk Closed-loop Pole Constraints. International Journal of Computational Cognition. Vol. 5, no. 4 (2007) pp.44-49.

DOI: 10.1007/s00500-012-0958-6

Google Scholar

[7] M. Kchaou, M. Souissi, and A. Toumi: H∞ Guaranteed Cost Fuzzy Control for Nonlinear Systems: An LMI Approach. Studies in Informatics and Control. Vol. 14, no. 4 (2005) pp.279-290.

Google Scholar

[8] Y. Cao, P. Frank: Analysis and Synthesis of Nonlinear Time-Delay Systems via Fuzzy Control Approach. IEEE Transactions on Fuzzy Systems. Vol. 8, no. 2 (2000) pp.406-415.

DOI: 10.1109/91.842153

Google Scholar

[9] S. Chen, Y. Chang, S. Su, S. Chung, and T. Lee: Robust Static Output-feedback Stabilization for Nonlinear Discrete-time Systems with Time-delay via Fuzzy Control Approach, IEEE Transactions on Fuzzy Systems. Vol. 13, no. 2 (2005) pp.263-272.

DOI: 10.1109/tfuzz.2004.839673

Google Scholar

[10] K. Tanaka, M. Iwasaki, and H. O. Wang: Switching Control of an R/C hovercraft: stabilization and smooth switching. IEEE Transactions on Systems, Man, and Cybernetics B. Vol. 31, no. 6 (2001), pp.853-863.

DOI: 10.1109/3477.969489

Google Scholar