Linear LMI-based external anti-windup augmentation for stable linear systems

Automatica

Volumn 40, Issue 11, 2004, Pages 1987-1996

  Grimm, Gene ^a   Teel, Andrew R ^b   Zaccarian, Luca ^c  

^a RAYTHEON COMPANY   (United States)

^b Santa Barbara   (United States)

^c UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Linear matrix inequalities; Saturation control; Windup

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; COMPUTER SOFTWARE; MATRIX ALGEBRA; OPTIMIZATION; THEOREM PROVING;

LINEAR MATRIX INEQUALITIES (LMI); SATURATION CONTROL; WINDUP;

LINEAR CONTROL SYSTEMS;

EID: 4444305401     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.07.001     Document Type: Article

References (23)

1. Bemporad, A., Teel, A., & Zaccarian, L. (2004). Anti-windup synthesis via sampled-data piecewise affine optimal control. Automatica, 40(4), 549-562.
2. Bohn, C., & Atherton, D. (1995). An analysis package comparing PID anti-windup strategies. IEEE Control Systems Magazine, 15(2), 34-40.
3. Cao, Y., Lin, Z., & Ward, D. (2002a). An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Transactions on Automatic Control, 47(1), 140-145.
4. Cao, Y., Lin, Z., & Ward, D. (2002b). Antiwindup design for linear systems subject to input saturation. Journal of Guidance Navigation and Control, 25(3), 455-463.
5. Fertik, H., & Ross, C. W. (1967). Direct digital control algorithm with anti-windup feature. ISA Transactions, 6(4), 317-328.
6. Gahinet, P., & Apkarian, P. (1994). A linear matrix inequality approach to script H sign ∞ control. International Journal of Robust and Nonlinear Control, 4, 421-448.
7. Gahinet, P., Nemirovski, A., Laub, A., & Chilali, M. (1995). LMI control toolbox. The MathWorks Inc.
8. Grimm, G., Hatfield, J., Postlethwaite, I., Teel, A., Turner, M., & Zaccarian, L. (2003). Antiwindup for stable linear systems with input saturation: An LMI-based synthesis. IEEE Transactions on Automatic Control, 48(9), 1509-1525.
9. Grimm, G., Postlethwaite, I., Teel, A., Turner, M., & Zaccarian, L. (2001). Case studies using linear matrix inequalities for optimal anti-windup synthesis. In Proceedings of the European control conference. Porto, Portugal.
10. Hanus, R. (1988). Antiwindup and bumpless transfer: A survey. In Proceedings of the 12th MACS world congress (pp. 59-65), Vol. 2. Paris, France.
11. Khalil, H. (1996). Nonlinear systems. (2nd ed), Englewood Cliffs, USA: Prentice-Hall.
12. Kothare, M., Campo, P., Morari, M., & Nett, N. (1994). A unified framework for the study of anti-windup designs. Automatica, 30(12), 1869-1883.
13. Mulder, E., Kothare, M., & Morari, M. (2001). Multivariable anti-windup Controller synthesis using linear matrix inequalities. Automatica, 37(9), 1407-1416.
14. Packard, A. (1994). Gain scheduling via linear fractional transformation. Systems and Control Letters, 22(2), 79-92.
15. Park, J., & Choi, C. (1995). Dynamic compensation method for multivariable control systems with saturating actuators. IEEE Transactions on Automatic Control, 40(9), 1635-1640.
16. Peng, Y., Vrančić, D., Hanus, R., & Weller, S. (1998). Anli-windup designs for multivariable controllers. Automatics, 34(12), 1559-1565.
17. Teel, A. (1999). Anti-windup for exponentially unstable linear systems. International Journal of Robust and Nonlinear Control, 9, 701-716.
18. 2 anti-windup problem: Its definition and solution. In Proceedings of the 4th ECC. Brussels, Belgium.
19. Wu, F., & Lu, B. (2004). Anti-windup control design for exponentially unstable LTI systems with actuator saturation. Systems and Control Utters, 52(3-4), 304-322.
20. Zaccarian, L., & Teel, A. (2002). A common framework for antiwindup bumpless, transfer and reliable designs. Automatica, 38(10), 1735-1744.
21. Zaccarian, L., & Teel, A. (2004). Nonlinear scheduled anti-windup design for linear systems. IEEE Transactions on Automatic Control.
22. Zheng, A., Kothare, M. V., & Morari, M. (1994). Anti-windup design for internal model control. International Journal of Control, 60(5), 1015-1024.
23. Zhou, K., Doyle, J., & Glover, K. (1995). Robust and optimal control. Englewood Cliffs, N.I: Prentice-Hall.