Tracking Control for a Class of Switched Fuzzy Systems

Abstract:

This paper investigates the problems of tracking control for switched fuzzy systems. Based on the state-dependent switching method, sufficient conditions for the solvability of the tracking control problem are given. We use single Lyapunov function technique to design a tracking control law. The controller design problem can be solved efficiently. A numerical example is given to show the effectiveness of our method.

• Periodical: Applied Mechanics and Materials (Volumes 635-637)
• Pages: 1378-1381
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.635-637.1378
• Online since: September 2014
• Authors: Hong Yang*, Huan Huan Lü, Le Zhang
• Keywords: Stability, Switched Fuzzy Systems, Switching Law, Tracking Control

References

[1] Y. Y. Cao, P.M. Frank: Analysis and Synthesis of Nonlinear Time-delay Systems via Fuzzy Control Approach. IEEE Transactions on Fuzzy Systems. Vol. 8, no. 2 (2000) pp.200-211.

DOI: 10.1109/91.842153

[2] B. Chen, S. Iseng and J. Huey: Mixed H2/H∞ Fuzzy Output Feedback Control Design for Nonlinear Dynamic Systems: An LMI approach. IEEE Transactions on Fuzzy Systems. Vol. 8, no. 3 (1998) pp.249-265.

DOI: 10.1109/91.855915

[3] B.S. Chen, C. -H. Lee and Y.C. Chang: H∞ Tracking Design of Uncertain Nonlinear SISO Systems: Adaptive Fuzzy Approach. IEEE Transactions on Fuzzy Systems. Vol. 4, no. 1 (1999) pp.32-43.

DOI: 10.1109/91.481843

[4] Y. Hao: Analytical Analysis and Feedback Linearization Tracking Control of the Ggeneral Takagi-Sugeno Fuzzy Dynamic Systems, IEEE Transactions on System Man Cybernatics-C. Vol. 29, no. 1 (1999) pp.290-298.

DOI: 10.1109/5326.760573

[5] T. Takagi, M. Sugeno: Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on System Man Cybernetics. Vol. 15, no. 2 (1985) pp.116-132.

DOI: 10.1109/tsmc.1985.6313399

[6] K. Tanaka, M. Sugeno: Stability Analysis and Design of Fuzzy Control Systems. Fuzzy Sets and Systems. Vol. 45 (1992) pp.135-156.

DOI: 10.1016/0165-0114(92)90113-i

[7] H. Wang, K. Tanaka and M. Griffin: An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues. IEEE Transactions on Fuzzy Systems. Vol. 4, no. 1 (1996) pp.14-23.

DOI: 10.1109/91.481841

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

[9] 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.

[10] 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