Anti-windup controller design using linear parameter-varying control methods

International Journal of Control

Volumn 73, Issue 12, 2000, Pages 1104-1114

  Grigoriadis, Karolos M ^a   Packard, Andy ^b  

^a UNIVERSITY OF HOUSTON   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; CLOSED LOOP CONTROL SYSTEMS; CONTROL NONLINEARITIES; CONTROL SYSTEM SYNTHESIS; GAIN CONTROL; PARAMETER ESTIMATION; PROBLEM SOLVING;

PARAMETER-VARYING CONTROL;

LINEAR CONTROL SYSTEMS;

EID: 0034664156     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071700414211     Document Type: Article

References (29)

1. Apkarian, P., and Adams, R., 1998, Advanced gain-scheduling techniques for uncertain system. IEEE Transactions on Control Systems Technology, 6, 21-32.
2. Apkarian, P., and Gahinet, P., 1995, A convex characterization of gain-scheduled controllers. IEEE Transactions on Automatic Control, 40, 853-864.
3. Astrom K. J., and Wittenmark, B., 1994, Computer Controlled Systems: Theory and Design (Englewood Cliffs, NJ: Prentice-Hall).
4. Becker, G., 1996, Additional results on parameter-dependent controllers for LPV systems. Proceedings of 13th IFAC World Congress, pp. 351-356.
5. Becker, G., and Packard, A., 1994, Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback. Systems and Control Letters, 23, 205-215.
6. Bernstein, D. S., and Michel, A. N., 1995, A chronological bibliography on saturating actuators. International Journal of Robust and Nonlinear Control, 5, 375-380.
7. Boyd, S. P., El Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in Systems and Control Theory (Philadelphia, pA: SIAM).
8. Campo, P. J., and Morari, M., 1990, Robust control of processes subject to input saturation nonlinearities. Computers and Chemical Engineering, 14, 343-358.
9. Campo, P. J., Morari, M., and Nett, C. N., 1989, Multivariable anti-windup and bumpless transfer: a general theory. Proceedings of 1989 American Control Conference, pp. 1706-1711.
10. Doyle, J., Smith, R., and Enns, D. F., 1987, Control of plants with input saturation non-linearities. Proceedings of 1987 American Control Conference, pp. 1034-1039.
11. Fertik, H. A., and Ross, C. W., 1967, Direct digital control algorithm with anti-windup feature. ISA Transactions, 6, 317-328.
12. Gahinet, P., and Apkarian, P., 1994, A linear matrix inequality approach to control. International Journal of Robust and Nonlinear Control, 4, 421-448.
13. Gahinet, P., Nemirovskii, A., Laub, A. J., and Chilali, M., 1995, LMI Control Toolbox (Natick, MA: Mathworks).
14. Hanus, R., Kinnaert, M., and Henrotte, J. L., 1987, Conditioning technique, a general anti-windup and bump-less transfer method. Automatica, 23, 729-739.
15. Iwasaki, T., and Skelton, R. E., 1994, All controllers for the general control problem: LMI existence conditions and state space formulas. Automatica, 23, 729-739.
16. Kapasouris, P., Athans, M., and Stein, G., 1988, Design of feedback control systems for stable plants with saturating actuators. Proceedings of 27th IEEE Conference on Decision and Control, pp. 469-479.
17. Kothare, M. V., Campo, P. J., Morari, M., and Nett, C. N., 1994, A united framework for the study of antiwindup designs. Automatica, 30, 1869-1883.
18. Kothare, M. V., and Morari, M., 1995, Multiplier theory for stability analysis of anti-windup control systems. Proceedings of 34th IEEE Conference on Decision and Control, pp. 3767-3772.
19. Nesterov, Y., and Nemirovski, A., 1993, Interior Point Polynomial Methods in Convex Programming (Philadelphia, PA: SIAM).
20. Packard, A., 1994, Gain scheduling via linear fractional transformations. Systems and Control Letters, 22, 79-92.
21. Rugh, W. J., 1991, Analytical framework for gain scheduling. IEEE Control Systems Magazine, 11, 74-84.
22. Saberi, A., Lin, Z., and Teel, A. R., 1996, Control of linear systems with saturating actuators. IEEE Transactions on Automatic Control, 41, 368-378.
23. Shamma, J. S., and Athans, M., 1990, Analysis of nonlinear gain-scheduled control systems. IEEE Transactions on Automatic Control, 35, 898-907.
24. Shamma, J. S., and Athans, M., 1991, Guaranteed properties of gain scheduled control for linear parameter-varying plants. Automatica, 27, 559-564.
25. Shamma, J. S., and Athans, M., 1992, Gain scheduling: potential hazards and possible remedies. IEEE Control Systems Magazine, 12, 101-107.
26. Tyan, F., and Bernstein, D. S., 1995, Anti-windup compensator synthesis for systems with saturation actuators. International Journal of Robust and Nonlinear Control, 5, 521-537.
27. VIDYASAGAR, M., 1978, Nonlinear Systems Analysis (Englewood Cliffs, NJ: Prentice-Hall).
28. Wu, F., Grigoriadis, K. M., and Packard, A., 1998, Antiwindup controller synthesis via linear parameter-varying control design methods. Proceedings of 1998 American Control Conference, pp. 343-347.
29. 2 norm control for LPV systems with bounded parameter variation rates. International Journal of Robust and Nonlinear Control, 6, 983-998.