antiwindup; magnitude, rate and curvature saturation; linear systems
Abstract :
[en] We address the anti-windup augmentation problem for plants with saturations on the magnitude, rate and curvature of the control input. To this aim, given an unconstrained closed-loop, we generate a slightly modified strictly proper controller for which the derivatives of the control signal are available and we solve the anti-windup problem for this modified control scheme (namely, an almost anti-windup for the original closed-loop). Based on this “almost” approach, we revisit an existing Model Recovery anti-windup solution for rate and magnitude saturated plants and then we extend the results to the case of rate, magnitude and curvature saturation, by providing a Model Recovery solution to this additional problem. An example illustrates the peculiarities and the effectiveness of the proposed solutions.
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
Zaccarian, uca; University of Rome, Tor Vergata > Dipartimento di Informatica, Sistemi e Produzione
Language :
English
Title :
An almost Anti-Windup scheme for plants with magnitude, rate and curvature saturation
C. Barbu, R. Reginatto, A.R. Teel, and L. Zaccarian. 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.
A. Bemporad, A. Casavola, and E. Mosca. Nonlinear control of constrained linear systems via predictive reference management. IEEE Trans. Aut. Cont., 42(3):340-349, March 1997.
Shifrin CA. Sweden seeks cause of Gripen crash. Aviation Week and Space Technology, 139:78-79, 1993.
F. Forni, S. Galeani, and L. Zaccarian. Model recovery anti-windup for plants with rate and magnitude saturation. In European Control Conference, pages 324-329, Budapest (Hungary), August 2009.
S. Galeani, S. Onori, A.R. Teel, and L. Zaccarian. Further results on static linear anti-windup design for control systems subject to magnitude and rate saturation. In Conference on Decision and Control, pages 6373-6378, San Diego (CA), USA, December 2006.
S. Galeani, S. Onori, A.R. Teel, and L. Zaccarian. A magnitude and rate saturation model and its use in the solution of a static anti-windup problem. Systems and Control Letters, 57(1):1-9, 2008.
S. Galeani, S. Tarbouriech, M.C. Turner, and L. Zaccarian. A tutorial on modern anti-windup design. European Journal of Control, 15(3- 4):418-440, 2009.
E.G. Gilbert, I. Kolmanovsky, and K.T. Tan. Discrete-time reference governors and the nonlinear control of systems with state and control constraints. Internat. J. Robust Nonlinear Control, 5(5):487-504, 1995.
A. Isidori. Nonlinear Control Systems. Springer, third edition, 1995.
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.
J.C. Lozier. A steady-state approach to the theory of saturable servo systems. IRE Transactions on Automatic Control, 1:19-39, May 1956.
E.F. Mulder and M.V. Kothare. Synthesis of stabilizing anti-windup controllers using piecewise quadratic Lyapunov functions. In Proceedings of the American Control Conference, pages 3239-3243, Chicago (IL), June 2000.
A. Pironti and M. Walker. Special issue on control of tokamak plasmas (vol 1). IEEE Control Systems Magazine, 25(5), 2005.
A. Pironti and M. Walker. Special issue on control of tokamak plasmas (vol 2). IEEE Control Systems Magazine, 26(2), 2006.
J.S. Shamma. Anti-windup via constrained regulation with observers. Systems and Control Letters, 40:1869-1883, 2000.
S. Tarbouriech and M. Turner. Anti-windup design: an overview of some recent advances and open problems. Control Theory & Applications, IET, 3(1):1-19, 2009.
A.R. Teel and J.B. Buffington. Anti-windup for an F-16's daisy chain control allocator. In Proc. of AIAA GNC Conference, pages 748-754, New Orleans (LA), USA, August 1997.
N. Wada and M. Saeki. Synthesis of a static anti-windup compensator for systems with magnitude and rate limited actuators. Proc. of Symp. on RoConD, 1:131-136, 2000.
Y. Wang, S. Yeung, and R.M. Murray. Bifurcation control of rotating stall with actuator magnitude and rate limits: Part II - control synthesis and comparison with experiments. Automatica, 38:611-625, 2002. (Pubitemid 34141006)
F. Wu and M. Soto. Extended anti-windup control schemes for lti and lft systems with actuator saturations. Int. J. Robust and Nonlinear Control, 14:1255-1281, 2004.
L. Zaccarian. Dynamic allocation for input-redundant control systems. Automatica, 45:1431-1438, 2009.