Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants

International Journal of Control

Volumn 74, Issue 5, 2001, Pages 507-523

  Limanond, Suttipan ^a   Tsakalis, Kostas S ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CLOSED LOOP CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; PROBLEM SOLVING; TIME VARYING SYSTEMS;

NON-ADAPTIVE CONTROL;

MULTIVARIABLE CONTROL SYSTEMS;

EID: 0035917217     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170010017158     Document Type: Article

References (30)

1. Bengtsson, G., 1977, Output regulations and internal models-a frequency domain approach. Automatica, 13, 333-345.
2. Desoer, C.A., Liu, R.W., Murray, J., and Saeks, R., 1980, Feedback system design: The fractional representation approach to analysis and synthesis. IEEE Transactions on Automatic Control, 25, 399-412.
3. Elliott, H., Wolovich, W. A., and Das, M., 1984, Arbitrary adaptive pole placement for linear multivariable systems. IEEE Transactions on Automatic Control, 29, 221-228.
4. Feng, G., and Palaniswami, M., 1992, A stable adaptive implementation of the internal model principle. IEEE Transactions on Automatic Control, 37, 1220-1225.
5. Francis, B.A., and Wonham, W.M., 1976, The internal model principle of control theory. Automatica, 12, 457-465.
6. Ghosh, B.K., and Bouthellier, P.R., 1993, Simultaneous coefficient assignment of discrete-time multi-input multi-output linear time-varying system: A new approach for compensator design. SIAM Journal of Control and Optimization, 31, 1438-1461.
7. Giri, F., Dion, J.M., Dugard, L., and M'Saad, M., 1989a, Robust pole placement direct adaptive control. IEEE Transactions on Automatic Control, 34, 356-359.
8. Giri, F., Dion, J.M., M'Saad, M., and Dugard L., 1989b, A globally convergent pole placement indirect adaptive controller. IEEE Transactions on Automatic Control, 34, 353-356.
9. Giri, F., M'Saad, M., Dugard, L., and Dion, J.M., 1990, Pole placement direct adaptive control for time-Varying ill-modeled plants. IEEE Transactions on Automatic Control, 35, 723-726.
10. Goodwin, G.C., and Sin, K.S., 1984, Adaptive Filtering, Prediction, and Control (Englewood Cliffs, NJ: Prentice-Hall).
11. Hersh, M.A., 1992, Adaptive algorithms for the simultaneous stabilization and decoupling of time-varying multivariable systems. International Journal of Control, 56, 563-579.
12. Kaczorek, T., 1982, Polynomial equation approach to exact model matching problem in multivariable linear systems. International Journal of Control, 36, 531-539.
13. Kreisselmeier, G., 1986, Adaptive control of a class of slowly time-varying plants. Systems and Control Letters, 8, 2, 97-103.
14. Kucera, V., 1981, Exact model matching: Polynomial equation approach. International Journal of Systems Science, 12, 1477-1484.
15. Limanond, S., 1994, Adaptive and non-adaptive control of multivariable linear time-varying plants. PhD Thesis, Arizona State University, Tempe, AZ 85287, USA.
16. Limanond, S., and Tsakalis, K.S., 2000, Model reference adaptive and nonadaptive control of linear time-varying plants. IEEE Transactions on Automatic Control, 45, 1290-1300.
17. Middleton, R.H., and Goodwin, G.C., 1988, Adaptive control of time-varying linear systems. IEEE Transactions on Automatic Control, 33, 150-155.
18. Middleton, R., Goodwin, G.C., Hill, D., and Mayne, D., 1988, Design issues in adaptive control. IEEE Transactions on Automatic Control, 33, 50-58.
19. Mo, L., and Bayoumi, M.M., 1993, Adaptive pole placement control of MIMO systems. IEEE Transactions on Automatic Control, 38, 967-970.
20. Morse, A.S., and Silverman, L.M., 1973, Structure of index-invariant systems. SIAM Journal of Control and Optimization, 11, 215-225.
21. Pomet, J.B., and Praly, L., 1989, Adaptive nonlinear control: An estimation-based algorithm. In J. Descusse, M. Fliess, A. Isidori and D. Leborgne (Eds) New Trends in Nonlinear Control Theory (Berlin: Springer-Verlag).
22. Sastry, S., and Bodson, M., 1989, Adaptive Control: Stability, Convergence, and Robustness (Englewood Cliffs, NJ: Prentice-Hall).
23. Silverman, L.M., 1968 a, Synthesis of impulse response matrices by internally stable and passive realizations. IEEE Transactions on Circuit Theory, 15, 238-245.
24. Silverman, L. M., 1968 b, Properties and application of inverse systems. IEEE Transactions on Automatic Control, 13, 436-437.
25. Silverman, L.M., and Anderson, B.D.O., 1968, Controllability, observabilty and stability of linear systems. SIAM Journal of Control and Optimization, 6, 121-130.
26. Tsakalis, K.S., and Ioannou, P.A., 1989, Adaptive control of linear time-varying plants: A new model reference controller structure. IEEE Transactions on Automatic Control, 34, 1038-1046.
27. Tsakalis, K.S., and Ioannou, P.A., 1990, A New indirect adaptive control scheme for time-varying plants. IEEE Transactions on Automatic Control, 35, 697-705.
28. Tsakalis, K.S., and Ioannou, P.A., 1993, Linear Time-Varying Plants: Control and Adaptation (Englewood Cliffs, NJ: Prentice-Hall).
29. Wolovich, W.A., 1968, On the stabilization of controllable systems. IEEE Transactions on Automatic Control, 13, 569-572.
30. Yuksel, Y.O., and Bongiorno, J.J., 1971, Observers for linear multivariable systems with applications. IEEE Transactions on Automatic Control, 16, 603-613.