Model based, gain-scheduled anti-windup control for LPV systems

Forni, Fulvio; Galeani, Sergio

doi:10.1109/CDC.2007.4434788

Download

Paper published in a book (Scientific congresses and symposiums)

Model based, gain-scheduled anti-windup control for LPV systems

Forni, Fulvio; Galeani, Sergio

2007 • In 46th IEEE Conference on Decision and Control (cdc 2007)

Peer reviewed

Permalink
https://hdl.handle.net/2268/107723

DOI
10.1109/CDC.2007.4434788

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

MAIN.pdf

Author preprint (141.51 kB)

Download

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Keywords :

antiwindup; gain scheduling; linear parameter varying systems

Abstract :

[en] In this paper we show that a recently proposed technique for anti-windup control of exponentially unstable plants can be easily extended to solve the corresponding robust anti-windup problem for linear parameter varying systems, for which the time varying parameters are measured online. For this class of plants, it is shown that the proposed technique is minimally conservative with respect to the size of the resulting operating region: in particular, such a region is (up to an arbitrarily small quantity) exactly the largest set on which asymptotic stability can be guaranteed for the considered plant, for the given saturation level and uncertainty characteristics.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Forni, Fulvio ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation

Galeani, Sergio; University of Rome, Tor Vergata > Dipartimento di Informatica, Sistemi e Produzione

Language :

English

Title :

Model based, gain-scheduled anti-windup control for LPV systems

Publication date :

2007

Event name :

46th IEEE Conference on Decision and Control, 2007

Event date :

2007

Audience :

International

Main work title :

46th IEEE Conference on Decision and Control (cdc 2007)

ISBN/EAN :

978-1-4244-1497-0

Peer reviewed :

Peer reviewed

Available on ORBi :

since 12 January 2012

Statistics

Number of views

69 (6 by ULiège)

Number of downloads

362 (1 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

K.J. Åström and L. Rundqwist. Integrator windup and how to avoid it. In Proceedings of the American Control Conference, volume 2, pages 1693-1698, Pittsburgh (PA), USA, June 1989.
G. Avanzini and S. Galeani. Robust anti-windup for manual flight control of an unstable aircraft. J.of Guidance, Control, and Dynamics, 28(6): 1275-1282, November-December 2005.
C. Barbu, S. Galeani, A.R. Teel, and L. Zacearian. Nonlinear antiwindup for manual flight control. International Journal of Control, 78(14):1111-1129, September 2005.
C. Barbu, R. Reginatto, A.R. Teel, and L. Zacearian. Anti-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.
C. Barbu, R. Reginatto, A.R. Teel, and L. Zacearian. 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.
F. Blanchini. Nonquadratic lyapunov functions for robust control. Automatica, 31(3):451-461, 1995. (see also the software packages http://www.diegm.uniud.it/smiani/Software/Software.html).
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.
Y.-Y. Cao and Z. Lin. An anti-windup design for polytopic systems by a parameter-dependent lyapunov function approach. International Journal of Systems Science, 37(2):129-139, February 2006.
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. Aut. Cont., 47(1):140-145, 2002.
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.
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.
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.
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, pages 4451-4456, Maui (HI), USA, December 2003.
S. Galeani. Two degrees of freedom control for systems with constraints. PhD thesis, Università di Roma "Tor Vergata", June 2002.
S. Galeani and A.R. Teel. On performance and robustness issues in the anti-windup problem. In Proc. 43rd IEEE Conf. on Decision & Control, 2004.
S. Galeani and A.R. Teel. On a performance-robustness trade-off intrinsic to the natural anti-windup problem. Automatica, 42(11):1849-1861, November 2006.
S. Galeani, A.R. Teel, and L. Zacearian. Constructive nonlinear antiwindup design for exponentially unstable linear plants. Systems and Control Letters, 56:357-365, 2007.
G. Grimm, J. Hatfield, I. Postlethwaite, A.R. Teel, M.C. Turner, and L. Zacearian. Antiwindup for stable linear systems with input saturation: an LMI-based synthesis. IEEE Trans. Aut. Cont. (A), 48(9):1509-1525, September 2003.
R. Hanus. Antiwindup and bumpless transfer: a survey. In Proceedings of the 12th IMACS World Congress, volume 2, pages 59-65, Paris, France, July 1988.
J.C. Lozier. A steady-state approach to the theory of saturable servo systems. IRE Transactions on Automatic Control, 1:19-39, May 1956.
S. 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.
E.D. Sontag. An algebraic approach to bounded controllability of linear systems. Int. Journal of Control, 39(1):181-188, 1984.
A.R. Teel. Anti-windup for exponentially unstable linear systems. Int. J. Robust and Nonlinear Control, 9:701-716, 1999.
A.R. Teel and N. Kapoor. The ℒ2 anti-windup problem: Its definition and solution. In Proc. 4th ECC, Brussels, Belgium, July 1997.
M. C. Turner, G. Herrmann, and I. Postlethwaite. Accounting for uncertainty in anti-windup synthesis. In Proc. American Control Conf., pages 5292-5297, Boston (MA), USA, 2004.
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.
F. Wu, X.H. Yang, A.K. Packard, and G. Becker. Anti-windup controller design using linear parameter-varying control methods. International Journal of Control, 73:1104-1114, 2000.
A. Zheng, M. V. Kothare, and M. Morari. Anti-windup design for internal model control. Int. J. of Control, 60(5):1015-1024, 1994.