Constructive nonlinear anti-windup design for exponentially unstable linear plants

Proceedings of the IEEE Conference on Decision and Control

Volumn 5, Issue , 2004, Pages 5028-5033

  Galeani, S ^a   Teel, A R ^b   Zaccarian, L ^a  

^a Interventional Radiology and Radiotherapy   (Italy)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; STATE SPACE METHODS; SYSTEM STABILITY;

ANTI-WINDUP DESIGN; CONTROLLER DYNAMICS; LINEAR DESIGN; LINEAR PLANTS;

NONLINEAR CONTROL SYSTEMS;

EID: 14544293025     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2004.1429603     Document Type: Conference Paper

References (29)

1. C. Barbu, R. Reginatto, A.R. Teel, and L. Zaccarian. Anti-windup design for manual flight control. In American Control Conference, pages 3186-90, San Diego (CA), USA, June 1999.
2. C. Barbu, R. Reginatto, A.R. Teel, and L. Zaccarian. Ànti-windup for exponentially unstable linear systems with inputs limited in magnitude and rate. In American Control Conference, pages 1230-1234, Chicago (IL), USA, June 2000.
3. C. Barbu, R. Reginatto, A.R. Teel, and L. Zaccarian. Anti-windup for exponentially unstable linear systems with rate and magnitude limits. In V. Kapila and K. Grigoriadis, editors, Actuator Saturation Control, chapter 1, pages 1-31. Marcel Dekker, 2002.
4. A. Bemporad, A.R. Teel, and L. Zaccarian. Anti-windup synthesis via sampled-data piecewise affine optimal control. Automatica (A), 40(4):549-562, 2004.
5. F. Blanchini and S. Miani. Any domain of attraction for a linear constrained system is a tracking domain of attraction. SIAM J. Contr. Opt., 38(3):971-994, 2000.
6. F. Blanchini and S. Miani. Book review: Actuator saturation control. Automatica, 39(4):762-765, 2003.
7. Y.Y. Cao, Z. Lin, and D.G. Ward. An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Trans. Auf. Cont., 47(1): 140-145, 2002.
8. Y.Y. Cao, Z. Lin, and D.G. Ward. Antiwindup design for linear systems subject to input saturation. Journal of guidance navigation and control, 25(3):455-463, 2002.
9. S. Crawshaw. Global and local analysis of coprime factor-based anti-windup for stable and unstable plants. In European Control Conference, Cambridge (UK), September 2003.
10. S. Crawshaw and G. Vinnicombe. Anti-windup for local stability of unstable plants. In American Control Conference, pages 645-650, Anchorage (AK), USA, May 2002.
11. J.M. Gomes da Silva Jr and S. Tarbouriech. Anti-windup design with guaranteed regions of stability: an LMI-based approach. In Conference on Decision and Control, pases 4451-4456, Maui (HI), USA, December 2003.
12. C. Edwards and I. Postlethwaite. An anti-windup scheme with closed-loop stability considerations. Automatica, 35(4):761-765, 1999.
13. E.G. Gilbert and I. Kolmanovsky. Fast reference governors for systems with state and control constraints and disturbance inputs. Internat. J. Robust Nonlinear Control, 9(15):1117-1141, 1999.
14. G. Grimm, J. Hatfield, I. Postlethwaite, A.R. Teel, M.C. Turner, and L. Zaccarian. Antiwindup for stable linear systems with input saturation: an LMI-based synthesis. IEEE Trans. Auf. Cont. (A), 48(9): 1509-1525, September 2003.
15. R. Hanus. Antiwindup and bumpless transfer: a survey. In Proceedings of the 12th MACS World Congress, volume 2, pages 59-65, Paris, France, July 1988.
16. T. Hu, Z. Lin, and B.M. Chen. An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica, 38(2):351-359, 2002.
17. M.V. Kothare, P.J. Campo, M. Morari, and N. Nett. A unified framework for the study of anti-windup designs. Automatica, 30(12): 1869-1883, 1994.
18. J.C. Lozier. A steady-state approach to the theory of saturable servo systems. IRE Transactions on Automatic Control, pages 19-39, May 1956.
19. A. Miyamoto and G. Vinnicombe. Robust control of plants with saturation nonlinearity based on coprime factor representation. In 36th CDC, pages 2838-2840, Kobe, Japan, December 1996.
20. E.F. Mulder, M.V. Kothare, and M. Morari. Multivariable anti-windup controller synthesis using linear matrix inequalities. Automatica, 37(9):1407-1416, September 2001.
21. J.K. Park and C.H. Choi. Dynamic compensation method for multivariable control systems with saturating actuators. IEEE Trans. Aut. Cont., 40(9):1635-1640, 1995.
22. E.D. Sontag. An algebraic approach to bounded control-lability of linear systems. Int. Jornal of Control, 39(1):181-188, 1984.
23. A.R. Teel. Anti-windup for exponentially unstable linear systems. Int. J. Robust and Nonlinear Control, 9:701-716, 1999.
24. 2 anti-windup problem: Its definition and solution. In Proc. 4th ECC, Brussels, Belgium, July 1997.
25. A.R. Teel and N. Kapoor. Uniting local and global controllers. In Proc. 4th ECC, Brussels, Belgium, July 1997.
26. F. Wu and B. Lu. Anti-windup control design for exponentially unstable LTI systems with actuator saturation. Systems and Control Letters, 52(3-4):304-322, 2004.
27. L. Zaccarian and A.R. Teel. A common framework for anti-windup, bumpless transfer and reliable designs. Automatica (B), 38(10):1735-1744, 2002.
28. L. Zaccarian and A.R. Teel. Nonlinear scheduled anti-windup design for linear systems. IEEE Trans. Auf. Cont. (B), 2004, in press.
29. A. Zheng, M. V. Kothare, and M. Morari. Antiwindup design for internal model control. Int. J. of Control, 60(5): 1015-1024, 1994.