Stable direct adaptive periodic control using only plant order knowledge

International Journal of Adaptive Control and Signal Processing

Volumn 10, Issue 6, 1996, Pages 551-570

  Bayard, David S ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; NUMERICAL METHODS; SYSTEM STABILITY;

DIRECT ADAPTIVE PERIODIC CONTROLLERS; PLANT ORDER KNOWLEDGE;

TIME VARYING CONTROL SYSTEMS;

EID: 0030289829     PISSN: 08906327     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1115(199611)10:6<551::AID-ACS398>3.0.CO;2-I     Document Type: Article

References (27)

1. Åström, K. J., P. Hagander and J. Sternby, 'Zeros of sampled systems', Automatica, 22, 199-207 (1986).
2. Dahleh, M. A., P. G. Voulgaris and L. S. Valavani, 'Optimal and robust controllers for periodic and multirate systems', IEEE Trans. Automatic Control, AC-37, 90-99 (1992).
3. Francis, B. A. and T. T. Georgiou, 'Stability theory for linear time-invariant plants with periodic digital controllers', IEEE Trans. Automatic Control, AC-33, 820-832 (1988).
4. Kabamba, P. T., 'Control of linear systems using generalized sampled-data hold functions', IEEE Trans. Automatic Control, AC-24, 772-783 (1987).
5. Khargonekar, P. P., K. Poola and A. Tannenbaum, 'Robust control of linear time-invariant plants using periodic compensation', IEEE Trans. Automatic Control, AC-30, 1088-1096 (1985).
6. Ortega, R. and G. Kreisselmeier, 'Discrete-time model reference adaptive control for continuous-time systems using generalized sampled-data hold functions', IEEE Trans. Automatic Control, AC-35' 1, 334-338 (90).
7. Lozano-Leal, R., 'Robust adaptive regulation without persistent excitation', IEEE Trans. Automatic Control, AC-34, 1260-1267 (1989).
8. Miyasato, Y., 'Model reference adaptive control for non-minimum phase system by periodic feedback', in Devanathan, R. (ed.), Intelligent Tuning and Adaptive Control, Pergamon, Oxford, 1991, pp. 399-404.
9. Miyasato, Y. 'Model reference adaptive control for non-minimum-phase systems with time delay by periodic feedback', Proc. 30th IEEE Conf. on Decision and Control, Brighton, 1991, IEEE, New York, 1991, pp. 1465-1466.
10. Bayard, D. S., 'Extended horizon liftings for stable inversion of nonminimum-phase systems', IEEE Trans. Automatic Control, AC-39, 1333-1337 (1994).
11. Bayard, D. S. and D. Boussalis, 'Instrument pointing, tracking and vibration suppression using zero annihilation periodic (ZAP) control', SPIE J. Opt. Eng., 33, 737-745 (1994).
12. Bayard, D. S. and D. Boussalis, 'Noncolocated structural vibration suppression using zero annihilation periodic control,' Proc. 2nd IEEE Conf. Control Applications, Vancouver, September, 1993, IEEE New York, 1993.
13. Bayard, D. S., 'Zero-annihilation methods for direct adaptive control of nonminimum-phase systems', Seventh Yale Workshop on Adaptive and Learning Systems, New Haven, CT, May 1992.
14. Lozano, R., J.-M. Dion and L. Dugard, 'Singularity-free adaptive pole placement using periodic controllers', IEEE Trans. Automatic Control, AC-38, 104-108 (1993).
15. Ortega, R., 'On periodic adaptive stabilization of non-minimum phase systems', Control Theory and Adv. Technol., 7, 615-631 (1991).
16. Lozano, R., 'Adaptive regulation for overmodeled linear systems', Proc. 32nd IEEE Conf. on Decision and Control, San Antonio, TX, December 1993, IEEE, New York, 1993.
17. Goodwin, G. C. and K. S. Sin, Adaptive Filtering Prediction and Control, Prentice-Hall, Englewood Cliffs, NJ, 1984.
18. Jaktubowski, A. M., 'A recursive least squares solution to the adaptive ZAP problem', Master's Thesis, Department of Electrical Engineering, Temple University, 1993.
19. Jakubowski, A. M., J. Helferty and D. S. Bayard, 'The development of a recursive ZAP controller with specific applications in flexible space structures', Smart Structures and Intelligent Systems; Part of SPIE 1994 North American Conf. on Smart Structures and Materials, February (1994).
20. Bayard, D. S., 'Convergence properties of the normalized matrix-parameter RLS algorithm', Jet Propulsion Laboratory, Internal Document, JPL D-12037, 1994.
21. Barnett, S., Matrices: Methods and Applications, Clarendon, Oxford, 1990.
22. Lozano, R. and G. C. Goodwin, 'A globally convergent pole placement algorithm without persistency of excitation requirement', IEEE Trans. Automatic Control, AC-30, 795-797 (1985).
23. de Larminat, P., 'On the stabilization condition in indirect adaptive control', Automatica, 20, 793-795 (1984).
24. Feuer, A. and G. C. Goodwin, 'Generalized sample hold functions: frequency domain analysis of robustness, sensitivity, and intersample difficulties', IEEE Trans. Automatic Control, AC-39, 1042-1047 (1994).
25. Kreisselmeier, G. 'Parameter adaptive control: a solution to the overmodeling problem', IEEE Trans. Automatic Control, AC-39, 1819-1826 (1994).
26. Pait, F. M. and A. S. Morse, 'A cyclic switching strategy for parameter-adaptive control', IEEE Trans. Automatic Control, AC-39, 1172-1183 (1994).
27. Anderson, B. D. O. and J. B. Moore, Optimal Filtering, Prentice-Hall, Englewood Cliffs, NJ, 1979.