State difference feedback for stabilizing uncertain steady states of non-linear systems

International Journal of Control

Volumn 74, Issue 6, 2001, Pages 537-546

  Kokame, Hideki ^a   Hirata, Kentaro ^a   Konishi, Keiji ^a   Mori, Takehiro ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; PENDULUMS; PROBLEM SOLVING; STATE FEEDBACK; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

STEADY STATES;

NONLINEAR CONTROL SYSTEMS;

EID: 0035872157     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170010017275     Document Type: Article

References (22)

1. Bhattacharyya, S.P., Chapellat, H., and Keel, L.H., 1995, Robust Control:' The Parametric Approach (Upper Saddle River, NJ: Prentice Hall)
2. Bielawski, S., Derozier, D., and Glorieux, P., 1994, Controlling unstable periodic orbits by a delayed continuous feedback. Physical Review E, 49, R971-R974.
3. Bleich, M.E., and Socolar, J.E.S., 1996, Stability of periodic orbits controlled by time-delay feedback. Physics Letters A, 210, 87-94.
4. Boese, F.G., 1989, Stability conditions for the general linear difference-differential equation with constant coefficients and one constant delay. Journal of Mathematical Analysis and Applications, 140, 136-176.
5. Hale, J., 1977, Theory of Functional Differential Equations (New York: Springer).
6. Hikihara, T., and Kawagoshi, T., 1996, An experimental study on stabilization of unstable periodic motion in magneto-elastic chaos. Physics Letters A, 211, 29-36.
7. Hsu, C.S., 1970, Application of the τ-decomposition method to dynamical systems subjected to retarded follower forces. Transactions of the ASME Series E, 37, 258-266.
8. Just, W., Bernard, T., Ostheimer, M., Reibold, E., and Benner, H., 1997, Mechanism of time-delayed feedback control. Physical Review Letters, 78, 203-206.
9. Khalil, H.K., 1996, Nonlinear Systems (Upper Saddle River, NJ: Prentice Hall).
10. Konishi, K., Ishii, M., and Kokame, H., 1999, Stability of extended delayed-feedback control for discrete-time chaotic systems. IEEE Transactions on Circuits and Systems I, 46, 1285-1288.
11. Lee, H., and Hsu, C., 1969, On the τ-decomposition method of stability analysis for retarded dynamical systems. SIAM Journal on Control, 7, 242-259.
12. Lehman, B., and Weibel, S., 1998, Moving averages for periodic delay differential and difference equations. In L. Dugard and E.I. Verriest (Eds) Stability and Control of Time-delay Systems (London: Springer), pp. 158-183.
13. Nakajima, H., 1997, On analytical properties of delayed feedback control of chaos. Physics Letters A, 232, 207-210.
14. Nakajima, H., and Ueda, Y., 1998, Half-period delayed feedback control for dynamical systems with symmetries, Physical Review E, 58, 1757-1763.
15. Namajunas, A., Pyragas, K., and Tamaševičius, A., 1995, Stabilization of an unstable steady state in a Mackey-Glass system. Physics Letters A, 204, 255-262.
16. Niculescu, S.I., Verriest, E.I., Dugard, L., and Dion, J.M., 1998, Stability and robust stability of time-delay systems: A guided tour. In L. Dugard and E.I. Verriest (Eds) Stability and Control of Time-delay Systems (London: Springer), pp. 1-71.
17. Pyragas, K., 1992, Continuous control of chaos by self-controlling feedback. Physics Letters A, 170, 421-428.
18. Pyragas, K., 1995, Control of chaos via extended delay feedback. Physics Letters A, 206, 323-330.
19. Pyragas, K., and Tamaševičius, A., 1993, Experimental control of chaos by delayed self-controlling feedback. Physics Letters A, 180, 99-102.
20. Ushio, T., 1996, Limitation of delayed feedback control in nonlinear discrete-time systems. IEEE Transactions on Circuits and Systems I, 43, 815-816.
21. Ushio, T., and Yamamoto, S., 1998, A generalization of delayed feedback control in chaotic discrete-time systems. Proceedings of the 37th IEEE Conference on Decision Control, Tampa, FL, USA, pp. 1946-1950.
22. Walton, K., and Marshall, J.E., 1987, Direct methods for TDS stability analysis. IEE Proceedings Part D, 134, 101-107.