Tracking of continuous LPV systems using dynamic inversion

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2004, Pages 2929-2933

  Balas, G ^b   Bokor, J ^a   Szabo Z ^a  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE APPLICATIONS; CLOSED LOOP CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PROBLEM SOLVING; SERVOMECHANISMS; SET THEORY; VECTORS;

DYNAMIC INVERSION; ERROR SYSTEMS; LINEAR PARAMETER VARYING (LPV) SYSTEM; LINEAR THEORY;

LINEAR SYSTEMS;

EID: 14244257880     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1428911     Document Type: Conference Paper

References (22)

1. G. Balas, J. Bokor and Z. Szabo, Invariant subspaces for LPV systems and their applications. IEEE Trans. Automat. Contr. 48(11), 2065 - 2069, 2003.
2. G. Becker and A. Packard, Robust performance of linear, parametrically varying systems using parametrically-dependent linear dynamic feedback. Sys. and Contr. Letters 23, 205-215, 1994.
3. M. D. Di Benedetto and J.W. Grizzle, Asymptotic model matching for nonlinear systems. IEEE Trans. Automat. Contr. 39(8), 1539 - 1550, 1994.
4. Bennani, S., Looye, G., Flight Control Law Design for a Civil Aircraft using Robust Dynamic Inversion. In Proceedings of IEEE/SMC-CESA98, 998-1004, Tunisia, April 1998.
5. Bokor, J., Z. Szabó and G. Stikkel, Invariant subspaces for LPV systems and their applications. In Proceedings of the 10th Mediterranean Conf. on Contr. and Autom., Lisbon., 2002.
6. Costa, R.R., Q.P. Chu and J.A. Mulder, Re-entry flight controller design using nonlinear dynamic inversion. AIAA2001-4219, AIAA Guidance, Navigation, and Control Conference, Montreal, Canada, 2001.
7. P. Gahinet, P. Apkarian and M. Chilali, Affine parameter dependent Lyapunov functions and real parameter uncertainity. IEEE Trans. Automat. Contr. vol. AC-41, pp. 436-442, 1996.
8. J.W. Grizzle, M.D. Di Benedetto and F. Lamnabhi-Lagarrigue, Necessary conditions for asymptotic tracking in nonlinear systems. IEEE Trans. Automat. Contr. 39(9), 1782 - 1794, 1994.
9. R.M. Hirschorn, Output tracking in multivariable nonlinear systems. IEEE Trans. Automat. Contr. 26(2), 593 - 595, 1981.
10. J. Huang and W.J. Rugh, On nonlinear multivariable servomechanism problem. Automatica 26(6), 963-972, 1990.
11. A. Isidori, The matching of a prescribed linear input-output behaviour in a nonlinear system. IEEE Trans. Automat. Contr. 30(3), 258 - 265, 1985.
12. A. Isidori, Nonlinear Control Systems. Springer-Verlag, 1989.
13. A. Isidori and C. I. Byrnes, Output regulation of nonlinear systems. IEEE Trans. Automat. Contr. 35(1), 131 - 140, 1990.
14. Looye, G., Joos, H.-D., Design of Robust Dynamic Inversion Control Laws using Multi-Objective Optimization. AIAA Guidance, Navigation, and Control Conference, Montreal, Canada, 2001.
15. G. Basile and G. Marro, A new characterization of some structural properties of linear systems: unknown-input observability, invertability and functional controllability. Int. J. Control vol. 17, pp. 931-943, 1973.
16. G. Basile and G. Marro, Controlled and Conditioned Invariants in Linear System Theory, Prentice Hall, 1992.
17. B. Morton, D. Enns, B-Y. Zhang, Stability of dynamic inversion control laws applied to nonlinear aircraft pitch-axis models. Int. Journal Contr. vol. 63, pp. 1-26, 1996.
18. Papageorgiou G., K. Glover, G. D'Mello, and Y. Patel (2000). Development of a "reliable" LPV model for the longitudinal dynamics of DERA's VAAC Harrier, AIAA Guidance, Navigation, and Control Conference and Exhibit, Denver, CO, Aug. 14-17, 2000, AIAA Paper 2000-4459 (AIAA Accession number 37339).
19. Shamma, J.S., and J.R. Cloutier. Gain-Scheduled Missile Autopilot Design Using Linear Parameter Varying Transformations, Journal of Guidance, Control and Dynamics, vol. 16, No. 2, 1993
20. Silverman, L.M., Inversion of Multivariable Linear Systems. IEEE Trans. Automat. Contr. AC-14, pp. 270-276, 1969.
21. L.M. Silverman and H.E. Medows. Controllability and observability in time -variable linear systems. J. SIAM Control, 5:64-73, 1967.
22. Wonham, W. M. Linear Multivariable Control - A Geometric Approach, Springer-Verlag, New York (Third Edition), 1985.