Windup prevention for stable and unstable MIMO systems

International Journal of Systems Science

Volumn 37, Issue 2, 2006, Pages 67-78

  Hippe, P ^a,b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b Electrical Engineering Department Lehrstuhl Für Regelungstechnik   (Germany)

Author keywords

Directionality; MIMO control; Windup prevention

Indexed keywords

DIRECTIONALITY; MIMO CONTROL; WINDUP PREVENTION;

CLOSED LOOP CONTROL SYSTEMS; FEEDBACK; FEEDFORWARD NEURAL NETWORKS; PROBLEM SOLVING; SIGNAL PROCESSING;

SYSTEMS SCIENCE;

EID: 32644466858     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720500443969     Document Type: Article

References (36)

1. B.D.O. Anderson and J.B. Moore, Optimal filtering, Englewood Cliffs, NJ: Prentice Hall, 1979.
2. K.J. A ström and B. Wittenmark, Computer Controlled Systems: Theory and Design, Englewood Cliffs, NJ: Prentice Hall, 1984.
3. D.S. Bernstein and A.N. Michel, "A chronological bibliography on saturating actuators", Intern. Journal on Robust and Nonlinear Control, 5, pp. 375-380, 1995.
4. P.J. Campo and M. Morari, "Robust control of processes subject to saturation nonlinearities", Computers Chem. Engrng., 14, pp. 343-358, 1990.
5. M.A. Dahleh and J.B. Pearson, "L1-optimal compensators for continuous-time systems", IEEE Transactions on Automatic Control, 32. pp. 889-895, 1987.
6. E.J. Davison, "The robust control of a servomechanism problem for linear time-invariant multivariable systems", IEEE Transactions on Automatic Control, 21, pp. 25-34, 1976.
7. J.C. Doyle, R.S. Smith and D.F. Enns, "Control of plants with input saturation nonlinearities."Proc. 1987 ACC, Minneapolis, pp. 1034-1039, 1987.
8. C. Gökçek, P.T. Kabamba and S.M. Meerkov, "An LQR/LQG theory for systems with saturating actuators", IEEE Transactions on Automatic Control, 46, pp. 1529-1542, 2001.
9. R. Hanus, M. Kinnaert and J.L. Henrotte, "Conditioning technique, a general antiwindup and bumpless transfer method", Automatica, 23, pp. 729-739, 1987.
10. P. Hippe, "Windup prevention for unstable systems", Automatics, 39, pp. 1967-1973, 2003.
11. P. Hippe, "A solution to the problem of directionality for stable and unstable systems", Symposium on Nonlinear Control Systems, NOLCOS 2004, Stuttgart, Preprints of NOLCOS 2004, pp. 1391-1396.
12. P. Hippe, "Windup prevention when using Davison's approach to disturbance rejection", 16th IFAC World Congress, Prague, Preprints of IFAC World Congress, paper no. TU-A20-To13, 2005.
13. P. Hippe and Ch. Wurmthaler, "Systematic closed loop design in the presence of input saturation", Automatica, 35, pp. 689-695, 1999.
14. C.D. Johnson, "Accommodation of external disturbances in linear regulator and servomeehanism problems", IEEE Transactions Automatic Control, 16, pp. 635-644, 1971.
15. P. Kapasouris and G. Stein, "Design of feedback control systems for unstable plants with saturating actuators", Proceedings of the IFAC Symposium on Nonlinear Control System Design, (Pergamon), pp. 340-349, 1990.
16. T.A. Kendi and F.J. Doyle, "An anti-windup scheme for multivariable nonlinear systems", J. Proc. Control, 7, pp. 329-343, 1997.
17. M.V. Kothare, P.J. Campo, M. Morari and C.N. Nett, "A unified framework for the study of anti-windup designs", Automatica, 30, pp. 1869-1883, 1994.
18. Z. Lin, "H∞ -Almost disturbance decoupling with internal stability for linear systems subject to input saturation", IEEE Transactions on Automatic Control, 42, pp. 992-995, 1997.
19. Z. Lin, A. Saberi and A.R. Teel, "The almost disturbance decoupling problem with internal stability for linear systems subject to input saturation - State feedback case", Automatica, 32, pp. 619-624, 1996.
20. S. Mhatre and C. Brosilow, "Multivariable model state feedback", Proc. IFAC World Congress, San Francisco, p. 139, 1996.
21. M. Moness and M.H. Amin, "Minimal order precompensators for decoupling linear multivariable systems", Int. J. Control, 47, pp. 1925-1936, 1988.
22. Y. Peng, D. Vrancic, R. Hanus and S.S.R. Weller, "Anti-Windup designs for multivariable controllers", Automatica, 34, pp. 1559-1565, 1998.
23. S. Rönnbäck, K.S. Walgama and J. Sternby "An extension to the generalized anti-windup compensator", Proceedings of the 13th IMACS World Congress on Scientific. Computation, Dublin, Ireland, 1991.
24. A. Saberi, Z. Lin and A.R. Teel, "Control of linear systems with saturating actuators", IEEE Transactions on Automatic Control, 41, pp. 368-378, 1996.
25. M.M. Seron, G.C. Goodwill and S.F. Graebe, "Control system design issues for unstable linear systems with saturated inputs", IEE Proc. Control Theory and Applications, 142, pp. 335-344, 1995.
26. J.H. Shim, G.C. Goodwin and S.F. Graebe, "MIMO design with saturating actuators", Proceedings of the CESA'96 Multiconference, Lille, France, pp. 1026-1031, 1996.
27. S. Tabouriech, C. Pittet and C. Burgat, "Output tracking problem for systems with input saturations via nonlinear integrating actions", Intern. Journal Robust and Nonlinear Control, 10, pp. 489-512, 2000.
28. A.R. Teel, "Anti-windup for exponentially unstable systems", Intern. Journal Robust and Nonlinear Control, 9, pp. 701-716, 1999.
29. 2 anti-windup problem: its definition and solution", Proceedings of the Fourth European Control Conference, Brussels, Belgium, 1997.
30. M.C. Turner, I. Postlethwaite and D.J. Walker, "Non-linear tracking control for multivariable constrained input linear systems", Int. J. Control, 73, pp. 1160-1172, 2000.
31. M.C. Turner and I. Postlethwaite, "Guaranteed stability regions of linear systems with actuator saturation using low-and-high gain technique", Int. J. Control, 74, pp. 1425-1434, 2001.
32. E.I. Verriest and G.A. Pajunen, "Analysis of constrained tracking problem", Proceedings of the 1992 American Control Conference, pp. 676-680, 1992.
33. M. Vidyasagar, Nonlinear Systems Analysis, Englewood Cliffs, NJ: Prentice Hall, 1993.
34. K.S. Walgama, S. Rönnbäck and J. Sternby, "Generalization of conditioning technique for anti-windup compensators", IEE Proc. Control Theory and Applications, 139, pp. 109-118, 1992.
35. K.S. Walgama and J. Sternby, "Conditioning technique for multiinput multioutput processes with input saturation", IER Proc. Control Theory and Applications, 140, pp. 231-241, 1993.
36. A. Zheng, M.V. Kothare and M. Morari, "Anti-Wind up design for internal model control", Int. J. Control, 60, pp. 1015-1024, 1994.