Stability and performance recovery within discretized non-linear control systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 6, Issue , 2003, Pages 5985-5990

  Herrmann, Guido ^a   Spurgeon, Sarah K ^a   Edwards, Christopher ^a  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS; INTEGRATION; MATHEMATICAL OPERATORS; SYSTEM STABILITY; THEOREM PROVING;

EMULATED CONTROLLERS; HÖLDER INEQUALITY;

NONLINEAR CONTROL SYSTEMS;

EID: 1542348510     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1271968     Document Type: Conference Paper

References (18)

1. T. Chen and B. Francis. Optimal Sampled-Data Control Systems. Springer, London, 1995.
2. T. Chen and B. A. Francis. Input-output stability of sampled-data Systems. IEEE Trans. Aut. Cont., 36(1):50-58, 1991.
3. B. D. Craven. Lebesgue measure and Integral.Pitman, 1982.
4. C. A. Desoer and M. Vidyasagar. Feedback Systems: Input-Output Properties. Academic Press, New York, 1975.
5. L. Grüne. Stabilization by sampled and discrete feedback with positive sampling rate. In D. Aeyels, F. Lamnabhi-Lagarrigue, and A. van der Schaft, editors, Stability and Stabilization of Nonlinear Systems, pp. 165-182. Springer, Berlin, 1999.
6. A. M. Guilaume, G. Bastin, and G. Campion. Lyapunov design of sampled-data stabilising feedback control for nonlinear continuous-time systems. In IFAC Syrnp. Nonl. Control Systems Design, Tahoe City, pp. 777-782, 1995.
7. p-gain and stability recovery within discretized non-linear control systems. Subm. for journal publ., 2003.
8. G. Herrmann, S. K. Spurgeon, and C. Edwards. Discretization of a non-linear, continuous-time control law with small control delays. Asian J. Cont., 5(1):66-77,2003.
9. A. Ichikawa and H. Katayama. Linear Time Varying Systems and Sampled-Data Systems. Springer, London, 2001.
10. H. K. Khalil. Nonlinear Systems. Macmillan, New York, 2nd ed., 1992.
11. D.S. Laila and D. Nešić. A note on preservation of dissipation inequalities under sampling: the dynamic feedback case. In Proc. Amer. Cont. Conf., pp. 2822-2827, 2001.
12. I. J. Maddox. Elements of Functional Analysis. Cambridge University Press, 1970.
13. D. Nešić and D. S. Laila. A note on input-to-state stabilization for nonlinear sampled-data systems. IEEE Trans. Aut. Cont., 47(7): 1153-1158, 2002.
14. D. Nešić, D. S. Laila, and A. R. Teel. On preservation of dissipation inequalities under sampling. In Proc. 39th Conf. Dec. & Cont., Sydney, pp. 2472-2477, 2000.
15. D. Nešić, A. R. Teel, and P. V. Kokotović. Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations. Syst.&Cont.Let.,38:259-270, 1999.
16. D.H. Owens, Y. Zheng, and S.A. Billings. Fast sampling and stability of nonlinear sampled-data systems: Part 1. Existence theorems. IMA J. Math. Cont. &Inform., 7:1-11, 1990.
17. A. R. Teel, D. Nešić, and P. V. Kokotović. A note on inputto-state stability of sampled-data nonlinear systems. In Proc. 37th Conf. Dec.&Cont., pp. 2473-2478, 1998.
18. p-gain stability of nonlinear sampled-data systems. In Proc. Amer. Cont: Conf., Anchorage, pp. 3523-3528, 2002.