Chaos control for a class of chaotic systems using PI-type state observer approach

Chaos, Solitons and Fractals

Volumn 21, Issue 1, 2004, Pages 93-99

  Jiang, Guo Ping ^a   Zheng, Wei Xing ^b  

^a NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; MATRIX ALGEBRA; NONLINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

CHAOTIC SYSTEMS; ERGODICITY; LORENZ SYSTEM; SYSTEM PARAMETER VARIATIONS; UNSTABLE EQUILIBRIUM POINTS;

CHAOS THEORY;

EID: 0942299383     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2003.10.001     Document Type: Article

References (19)

1. Chen G., Dong X. From chaos to order - methodologies, perspectives and applications. 1998;World Scientific, Singapore.
2. Galias Z., Murphy C.A., Kennedy M.P., Ogorzalek M.J. Electronic chaos controller. Chaos, Solitons & Fractals. 8:1997;1471-1484.
3. Hwang C.C., Hsieh J.Y., Lin R.S. A linear continuous feedback control of Chua's circuit. Chaos, Solitons & Fractals. 8:1997;1507-1515.
4. Jiang G.-P., Wang S.P., Song W.Z. Design of observer with integrators for linear systems with unknown input disturbances. Electron. Lett. 36:2000;1168-1169.
5. Jiang G.-P., Chen G., Tang K.-S. Stabilizing unstable equilibrium points of a class of chaotic systems using a state PI regulator. IEEE Trans. Circuits Syst. I. 49:2002;1820-1826.
6. Jordan D.W., Smith P. Nonlinear ordinary differential equations. 1999;Oxford University Press, Oxford.
7. Kapitaniak T. Controlling chaotic oscillators without feedback. Chaos, Solitons & Fractals. 2:1992;519-530.
8. Konishi K., Ishii M., Kokame H. Stability of extended delayed-feedback control for discrete-time chaotic systems. IEEE Trans. Circuits Syst. I. 46:1999;1285-1288.
9. Koumboulis F.N., Mertzios B.G. Feedback controlling against chaos. Chaos, Solitons & Fractals. 11:2000;351-358.
10. Lorenz E.N. Deterministic nonperiodic flow. J. Atmos. Sci. 20:1963;130-141.
11. Nakajima H. On analytical properties of delayed feedback control of chaos. Phys. Lett. A. 232:1997;207-210.
12. Niemann H.H., Stoustrup J., Shafai B., Beale S. LTR design of proportional-integral observers. Int. J. Robust Nonlinear Control. 5:1995;671-693.
13. Osipov G., Glatz L., Troger H. Suppressing chaos in the Duffing oscillator by impulsive actions. Chaos, Solitons & Fractals. 9:1998;307-321.
14. Ott E., Grebogi C., Yorke J.A. Controlling chaos. Phys. Rev. Lett. 64:1990;1196-1199.
15. Sinha S.C., Henrichs J.T., Ravindra B. A general approach in the design of active controllers for nonlinear systems exhibiting chaos. Int. J. Bifurcat. Chaos. 10:2000;165-178.
16. Tian Y.-P. Controlling chaos using invariant manifolds. Int. J. Control. 72:1999;258-266.
17. Ushio T. Limitation of delayed feedback control in nonlinear discrete-time systems. IEEE Trans. Circuits Syst. I. 43:1996;815-816.
18. Yau H.T., Yan J.J. Design of sliding mode controller for Lorenz chaotic system with nonlinear input. Chaos, Solitons & Fractals. 19:2004;891-898.
19. Yu X. Variable structure control approach for controlling chaos. Chaos, Solitons & Fractals. 8:1997;1577-1586.