Composite tracking control for a class of uncertain nonlinear control systems with uncertain deadzone nonlinearities

Chaos, Solitons and Fractals

Volumn 35, Issue 2, 2008, Pages 383-389

  Sun, Yeong Jeu ^a  

^a I SHOU UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; FEEDBACK CONTROL; NUMERICAL METHODS; UNCERTAIN SYSTEMS;

CONVERGENCE RATE; TRACKING CONTROL; TRACKING TIME;

NONLINEAR CONTROL SYSTEMS;

EID: 34548576864     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.05.034     Document Type: Article

References (19)

1. Xu J.X., Lee T.H., and Jia Q.W. Design and analysis of a new adaptive robust control scheme for a class of nonlinear uncertain systems. Int J Syst Sci 30 (1999) 239-245
2. Park K.B., and Tsuji T. Sliding mode control of second-order nonlinear uncertain systems. Int J Robust Nonlinear Control 9 (1999) 769-780
3. Shyu K.K., and Yan J.J. Variable-structure model following adaptive control for systems with time-varying delay. Control-Theor Adv Technol 10 (1994) 513-521
4. Yan J.J., Shyu K.K., and Lin J.S. Adaptive variable structure control for uncertain chaotic systems containing dead-zone nonlinearity. Chaos, Solitons & Fractals 25 (2005) 347-355
5. Sun Y.J., Yu G.J., Chao Y.H., and Hsieh J.G. Exponential stability and guaranteed tracking time for a class of model reference control systems via composite feedback control. Int J Adapt Control Signal Process 11 (1997) 155-165
6. Toivonen H.T., and Pensar J. A worst-case approach to optimal tracking control with robust performance. Int J Control 65 (1996) 17-32
7. Sun Y.J., and Hsieh J.G. Exponential tracking control for a class of uncertain systems with time-varying arguments and deadzone nonlinearities. ASME J Dyn Syst, Meas Control 119 (1997) 825-830
8. Biswas A. Perturbation of solitons with non-Kerr law nonlinearity. Chaos, Solitons & Fractals 13 (2002) 815-823
9. Brandon J.A., Benoit E., and Jezequel L. Subtle bifurcation in the vibration of a system with an interface nonlinearity. Chaos, Solitons & Fractals 9 (1998) 393-400
10. Das C.K., and Roy C.A. On a model for optical pulse propagation with saturation nonlinearity. Chaos, Solitons & Fractals 11 (1999) 947-952
11. Franklin G.F., Powell J.D., and Emani-Naeini A. Feedback control of dynamic system (1994), Addison-Wesley, Massachusetts
12. Konar S., Mishra M., and Jana S. The effect of quintic nonlinearity on the propagation characteristics of dispersion managed optical solitons. Chaos, Solitons & Fractals 29 (2006) 823-828
13. Ng L., and Rand R. Bifurcations in a Mathieu equation with cubic nonlinearities. Chaos, Solitons & Fractals 14 (2002) 173-181
14. Puu T., and Sushko I. A business cycle model with cubic nonlinearity. Chaos, Solitons & Fractals 19 (2004) 597-612
15. Recker DA, Kokotovic PV, Rhode D, Winkelman J. Adaptive nonlinear control of systems containing a deadzone. In: Proceedings of the 30th conference on decision and control, 1991. p. 2110-5.
16. Remeo F., and Rega G. Wave propagation properties in oscillatory chains with cubic nonlinearities via nonlinear map approach. Chaos, Solitons & Fractals 27 (2006) 606-617
17. Thaler G.J., and Pastel M.P. Analysis and design of nonlinear feedback control systems (1962), McGraw-Hill, New Jersey
18. Park S.K., and Ahn H.K. Robust controller design with novel sliding surface. IEE-Proc Control Theory Appl 146 (1999) 242-246
19. Anderson B.D.O., and Moore J.B. Optimal control-linear quadratic methods (1990), Prentice-Hall, New Jersey