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TECHNICAL PAPERS

Output Feedback Fuzzy Control for Uncertain Nonlinear Systems

[+] Author and Article Information
Wook Chang

Wearable Computer Project Team, HCI LAB e-mail: changwook@sait.samsung.co.kr wook.chang@samsung.com

Jin Bae Park

Department of Electrical and Electronic Engineering, Yonsei University, Seoul 120-749, Korea e-mail: jbpark@control.yonsei.ac.kr

Young Hoon Joo

School of Electronic and Information Engineering, Kunsan National University, Kunsan, Chonbuk 573-701, Korea e-mail: yhjoo@kunsan.ac.kr

Guanrong Chen

Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong e-mail: gchen@ee.cityu.edu.hk

J. Dyn. Sys., Meas., Control 125(4), 521-530 (Jan 29, 2004) (10 pages) doi:10.1115/1.1636192 History: Received November 21, 2001; Revised June 19, 2003; Online January 29, 2004
Copyright © 2003 by ASME
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References

Chen, G., “Intelligent identification and control of chaotic dynamics,” in IEEE Symp. Circuits and Systems, pp. 5–8, 1996.
Tanaka,  K., Ikeda,  K., and Wang,  H. O., 1998, “A unified approach to controlling chaos via an LMI-based fuzzy control system design,” IEEE Trans. Fuzzy Syst., 45, pp. 1021–1040.
Joo,  Y. H., Chen,  G., and Shieh,  L. S., 1999, “Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems,” IEEE Trans. Fuzzy Syst., 7, pp. 394–408.
Lee,  H. J., Park,  J. B., and Chen,  G., 2001, “Robust fuzzy control of nonlinear systems with parametric uncertainties,” IEEE Trans. Fuzzy Syst., 9, pp. 369–379.
Takagi,  T., and Sugeno,  M., 1985, “Fuzzy identification of systems and its applications to modeling and control,” IEEE Trans. Fuzzy Syst., 15, pp. 116–132.
J. S. R. Jang, C. T. Sun, and E. Mizutani, Neuro-fuzzy and soft computing. Prentice Hall, 1997.
Wang,  H. O., Tanaka,  K., and Griffin,  M., 1996, “An approach to fuzzy control of nonlinear systems: stability and design issues,” IEEE Trans. Fuzzy Syst., 4, pp. 14–23.
Cao,  S. G., Rees,  N. W., and Feng,  G., 1996, “Stability analysis and design for a class of continuous-time fuzzy control systems,” Int. J. Control, 64, pp. 1069–1087.
Cao,  S. G., Rees,  N. W., and Feng,  G., 1997, “Analysis and design for a class of complex control systems part II: fuzzy controller design,” Automatica, 33, no 6, pp. 1029–1039.
Xie,  L., 1996, “Output feedback H control of systems with parameter uncertainties,” Int. J. Control, 63, no. 4, pp. 741–750.
Branicky,  M. S., 1998, “Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,” IEEE Trans. Autom. Control, 43, pp. 475–482.
Boyd, S., Ghaoui, E., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalties in System and Control Theory. SIAM.
Crusius,  C. A. R., and Trofino,  A., 1999, “Sufficient LMI conditions for output feedback problems,” IEEE Trans. Autom. Control, 44, pp. 1053–1057.
Chen,  G., and Ueta,  T., 1999, “Yet another chaotic attractor,” Int. J. Bifurcation Chaos, 9, no. 7, pp. 1465–1466.
Ueta,  T., and Chen,  G., 2000, “Bifurcation analysis of Chen’s equation,” Int. J. Bifurcation Chaos, 10, no. 8, pp. 1917–1931.

Figures

Grahic Jump Location
Phase portrait of Chen’s chaotic attractor with initial condition x1(0)=1,x2(0)=1,x3(0)=1
Grahic Jump Location
Phase portrait of Chen’s chaotic attractor with uncertainties, with initial conditions x1(0)=1,x2(0)=1,x3(0)=1
Grahic Jump Location
The output responses of Chen’s chaotic system with initial conditions x1(0)=1,x2(0)=1,x3(0)=1 (a) y1 (b) y2 (c) y3
Grahic Jump Location
The output responses of Chen’s chaotic system with initial conditions x1(0)=1,x2(0)=1,x3(0)=1 (a) y1 (b) y2 (c) y3 (Magnified)
Grahic Jump Location
The phase trajectory of the controlled Chen’s chaotic system in the presence of parametric uncertainties (all system variables are varied within the 50% of the nominal values); × end of control
Grahic Jump Location
The output response y1 of Chen’s chaotic system with initial conditions x1(0)∊[−10 10],x2(0)∊[−10 10],x3(0)∊[−10 10]
Grahic Jump Location
The output response y2 of Chen’s chaotic system with initial conditions x1(0)∊[−10 10],x2(0)∊[−10 10],x3(0)∊[−10 10]
Grahic Jump Location
The output response y3 of Chen’s chaotic system with initial conditions x1(0)∊[−10 10],x2(0)∊[−10 10],x3(0)∊[−10 10]
Grahic Jump Location
The output responses of Chen’s chaotic system with initial conditions x1(0)=1,x2(0)=1,x3(0)=1 (a) y1 (b) y2
Grahic Jump Location
The phase trajectory of the controlled Chen’s chaotic system in the presence of parametric uncertainties (all system variables are varied within the 50% of the nominal values); × end of control
Grahic Jump Location
The output response y1 of Chen’s chaotic system with initial conditions x1(0)∊[−1 1],x2(0)∊[−1 1],x3(0)∊[−1 1]
Grahic Jump Location
The output response y2 of Chen’s chaotic system with initial conditions x1(0)∊[−1 1],x2(0)∊[−1 1],x3(0)∊[−1 1]

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