Low-order multivariable adaptive control with application to flexible structures

Automatica

Volumn 32, Issue 3, 1996, Pages 409-417

  Bakker, R ^a   Annaswamy, A M ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Adaptive control; Flexible structures; Multivariable control; Positive real; Reduced order

Indexed keywords

CONTROL EQUIPMENT; CONTROL SYSTEM ANALYSIS; FLEXIBLE STRUCTURES; MULTIVARIABLE CONTROL SYSTEMS; SYSTEM STABILITY;

LOW ORDER MULTIVARIABLE ADAPTIVE CONTROLLER; POSITIVE REAL; REDUCED ORDER;

ADAPTIVE CONTROL SYSTEMS;

EID: 0030106041     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(95)00150-6     Document Type: Article

References (24)

1. Anderson, B. D. O. (1967). A system theory criterion for positive real matrices. SIAM J. Control, 5, 171-182.
2. Annaswamy, A. M. and D. Clancy (1991). Adaptive control for vibration suppression in flexible structures. In Proc. AIAA Conf. on Guidance, Navigation, and Control, New Orleans, LA, pp. 501-511.
3. Bakker, R. and A. M. Annaswamy (1994). Low order multivariable adaptive control with application to flexible structures. Technical Report 9402, Adaptive Control Laboratory, MIT.
4. Corless, M. (1993). Adaptive control of a class of nonlinearly perturbed linear systems of relative degree two. Syst. Control Lett., 21, 59-64.
5. Dugard, L. and J. M. Dion (1985). Direct adaptive control for linear multivariable systems. Int. J. Control, 42, 1251-1281.
6. Elliott, H. and W. A. Wolovich (1982). Parameter adaptive control of linear multivariable systems. IEEE Trans. Autom. Control, AC-27, 340-352.
7. Ilchman, A. (1993). Non-identifier Based High-gain Adaptive Control. Lecture Notes in Control and Information Sciences, Vol. 189, Springer-Verlag, Berlin.
8. Kaufman, H., I. Bar-Kana and K. Sobel (1994). Direct Adaptive Control Algorithms. Springer-Verlag, New York.
9. Kouvaritakis, B. and A. G. J. MacFarlane (1976). Geometric approach to analysis and synthesis of system zeros: Part 1. Square systems. Int. J. Control, 23, 149-166.
10. Kouvaritakis, B. and U. Shaked (1976). Asymptotic behaviour of root-loci of linear multivariable systems. Int. J. Control, 23, 297-340.
11. Landau, I. D. (1979). Adaptive Control. Marcel Dekker, New York.
12. Lozano-Leal, R. and S. M. Joshi (1990). Strictly positive real transfer functions revisited. IEEE Trans. Autom. Control, AC-35, 1243-1245.
13. MacFarlane, A. G. J. and I. Postlethwaite (1977). The generalized nyquist stability criterion and multivariable root loci. Int. J. Control, 25, 81-127.
14. de Mathelin, M. and M. Bodson (1995). Multivariable model reference adaptive control without constraints on the high-frequency gain matrix. Automatica, 31, 597-604.
15. Morse, A. S. (1985). A three-dimensional universal controller for the adaptive stabilization of any strictly proper minimum phase system with relative degree not exceeding two. IEEE Trans. Autom. Control, AC-30, 1188-1191.
16. Mutoh, Y. and R. Ortega (1993). Interactor structure estimation for adaptive control of discrete-time multivariable nondecoupable systems. Automatica, 29, 635-647.
17. Narendra, K. S. and A. M. Annaswamy (1989). Stable Adaptive Systems. Prentice-Hall, Englewood Cliffs, NJ.
18. Singh, R. P. and K. S. Narendra (1984). Prior information in the design of multivariable adaptive controllers. IEEE Trans. Autom. Control, AC-29, 1108-1111.
19. Tao, G. and P. A. Ioannou (1988). Strictly positive real matrices and the Lefschetz-Kalman-Yakubovich lemma. IEEE Trans. Autom. Control, AC-33, 1183-1185.
20. Tao, G. and P. A. Ioannou (1993). Stability and robustness of multivariable adaptive control schemes. In C. T. Leondes (Ed.), Control and Dynamic Systems: Advances in Theory and Applications, Vol. 53, pp. 99-124. Academic Press, San Diego.
21. Vivian, H. C., P. E. Blaire, D. B. Eldred, G. E. Fleischer, C. H. C. Ih, N. M. Nerheim, R. E. Scheid and J. T. Wen (1987). Flexible structure control laboratory development and technology demonstration. Technical Report 88-29, Jet Propulstion Laboratory.
22. Weller, S. R. and G. C. Goodwin (1994). Hysteresis switching adaptive control of linear multivariable systems. IEEE Trans. Autom. Control, AC-39, 1360-1375.
23. Wen, J. T. (1988). Time domain and frequency domain conditions for strict positive realness. IEEE Trans. Autom. Control, AC-33, 988-992.
24. Williams, T. (1989). Transmission zero bounds for large space structures, with applications. J. Guidance and Control, 12, 33-38.