Fuzzy Adaptive Output Tracking Controller for a Class of Chaotic Systems

Article Preview

Abstract:

This paper proposes a new method for designing a fuzzy adaptive controller for a class of non-affine nonlinear chaotic systems in which functions of the systems are unknown. The proposed method is aimed on a class of non-canonical non-affine nonlinear chaotic systems. The stability of the closed loop system is guaranteed based on Lyapunov’s theory. The proposed controller is robust against uncertainties and external disturbances. The simulation results show the effectiveness of the proposed method.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 488-489)

Pages:

1793-1797

Citation:

Online since:

March 2012

Export:

Price:

[1] G. Feng, S.G. Cao, N.W. Rees, Stable adaptive control of fuzzy dynamic systems, Fuzzy Sets and Systems 131, p.217 – 224, (2002).

DOI: 10.1016/s0165-0114(01)00236-6

Google Scholar

[2] Y.C. Hsu, G. Chen, S. Tong, H.X. Li, Integrated fuzzy modeling and adaptive control for nonlinear systems, Information Sciences 153, pp.217-236, (2003).

DOI: 10.1016/s0020-0255(03)00063-x

Google Scholar

[3] C.C. Cheng, S.H. Chien, Adaptive sliding mode controller design based on T–S fuzzy system models, Automatica 42, pp.1005-1010, (2006).

DOI: 10.1016/j.automatica.2006.02.016

Google Scholar

[4] C.W. Park, M. Park, Adaptive parameter estimator based on T–S fuzzy models and its applications to indirect adaptive fuzzy control design, Elsevier Science, Information Sciences 159, pp.125-139, (2004).

DOI: 10.1016/j.ins.2003.07.001

Google Scholar

[5] Y. Tang, N. Zhang, Y. Li, Stable fuzzy adaptive control for a class of nonlinear systems, Fuzzy Sets and Systems 104, pp.279-288, (1999).

DOI: 10.1016/s0165-0114(97)00205-4

Google Scholar

[6] L. Zhang, Stable Fuzzy Adaptive Control Based on Optimal Fuzzy Reasoning", IEEE, Proceedings of the Sixth International Conference on Intelligent Systems Design and Applications (ISDA, 06), (2006).

DOI: 10.1109/isda.2006.250

Google Scholar

[7] H.F. Ho, Y.K. Wong , A.B. Rad, W.L. Lo, State observer based indirect adaptive fuzzy tracking control, Simulation Modeling Practice and Theory 13, p.646–663, (2005).

DOI: 10.1016/j.simpat.2005.02.003

Google Scholar

[8] C.C. Chiang, Adaptive Fuzzy Sliding Mode Control For Time-Delay Uncertain Large-Scale Systems, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, pp.4077-4082, Seville, Spain, December 12-15, (2005).

DOI: 10.1109/cdc.2005.1582800

Google Scholar

[9] R. Ghasemi, M.B. Menhaj, A. Afshar, A decentralized stable fuzzy adaptive controller for large scale nonlinear systems, Journal of Applied Science 9 (5), pp.892-900, (2009).

DOI: 10.3923/jas.2009.892.900

Google Scholar

[10] R. Ghasemi, M.B. Menhaj and A. Afshar, A New Decentralized Fuzzy Model Reference Adaptive Controller for a Class of Large-scale Non-affine Nonlinear Systems, European Journal of Control (5), p. p: 1–11, (2009).

DOI: 10.3166/ejc.15.534-544

Google Scholar

[11] Liu C., Liu T., Liu L., Liu K., A new chaotic attractor, Chaos, Solitons & Fractals; No. 22, pp.: 1031–338, (2004).

DOI: 10.1016/j.chaos.2004.02.060

Google Scholar

[12] Yassen M.T. , Adaptive chaos control and synchronization for uncertain new chaotic dynamical system, Phys. Lett. , No.: 350, pp.: 36–43, (2006).

DOI: 10.1016/j.physleta.2005.09.076

Google Scholar