Proposed here is a new approach for synthesizing an internal model control (IMC) anti-windup (AW) compensator for a stable plant subject to input saturation. Built on the conventional IMC AW scheme, which preserves the stability robustness of the unconstrained system, the proposed linear AW compensator improves the performance of the constrained system. The analysis conducted through the loop decomposition of the AW system clearly reveals the impacts of the AW compensator on the closed-loop stability and performance. Loop shaping techniques are executed to design the AW compensator. The effectiveness of this approach is demonstrated using a numerical example.
Issue Section:
Technical Briefs
1.
Grimm
, G.
, Teel
, A. R.
, and Zaccarian
, L.
, 2004, “Robust Linear Anti-Windup Synthesis for Recovery of Unconstrained Performance
,” Int. J. Robust Nonlinear Control
1049-8923, 14
, pp. 1133
–1168
.2.
Grimm
, G.
, Hatfield
, J.
, Postlethwaite
, I.
, Teel
, A.
, Turner
, M.
, and Zaccarian
, L.
, 2003, “Anti-Windup for Stable Linear System With Input Saturation: An LMI-Based Synthesis
,” IEEE Trans. Autom. Control
0018-9286, 48
(9
), pp. 1509
–1525
.3.
Turner
, M.
, and Postlethwaite
, I.
, 2004, “A New Perspective on Static and Low Order Anti-Windup Synthesis
,” Int. J. Control
0020-7179, 77
(1
), pp. 27
–44
.4.
Teel
, A. R.
, and Kapoor
, N.
, 1997, “The L2 Anti-Windup Problem: Its Definition and Solution
,” Proceedings of the European Control Conference
.5.
Zheng
, A.
, Kothare
, M. V.
, and Morari
, M.
, 1994, “Anti-Windup Design for Internal Model Control
,” Int. J. Control
0020-7179, 60
(5
), pp. 1015
–1024
.6.
Weston
, P. F.
, and Postlethwaite
, I.
, 2000, “Linear Conditioning for Systems Containing Saturating Actuators
,” Automatica
0005-1098, 36
, pp. 1347
–1354
.7.
Turner
, M. C.
, Herrmann
, G.
, and Postlethwaite
, I.
, 2004, “Accounting for Uncertainty in Anti-Windup Synthesis
,” Proceedings of the 2004 ACC
, Boston, MA, pp. 5292
–5297
.8.
Zaccarian
, L.
, and Teel
, A. R.
, 2002, “A Commom Framework for Anti-Windup, Bumpless Transfer and Reliable Designs
,” Automatica
0005-1098, 38
, pp. 1735
–1744
.9.
Wu
, W.
, and Jayasuriya
, S.
, 2006, “Anti-Windup Via the Creation of an Independent Loop Transmission Around the Saturating Actuator
,” Proceedings of 2006 ACC
, Minneapolis, MN, pp. 5234
–5239
.10.
Horowitz
, I.
, 1983, “A Synthesis Theory for a Class of Saturating Systems
,” Int. J. Control
0020-7179, 38
(1
), pp. 1215
–1229
.11.
Zames
, G.
, 1966, “On the Input-Output Stability of Nonlinear Time-Varying Feedback Systems, Part I
,” IEEE Trans. Autom. Control
0018-9286, 11
, pp. 465
–476
.12.
Hess
, R. A.
, 1995, “Feedback System Design for Stable Plants With Input Saturation
,” J. Guid. Control Dyn.
0731-5090, 18
(5
), pp. 1029
–1035
.13.
Wu
, W.
, and Jayasuriya
, S.
, 2001, “A New QFT Design Methodology for Feedback Systems Under Input Saturation
,” ASME J. Dyn. Syst., Meas., Control
0022-0434, 123
, pp. 225
–232
.14.
Hui
, K.
, 2001, “Design of Rate and Amplitude Saturation Compensators Using Three Degrees of Freedom Controllers
,” Int. J. Control
0020-7179, 74
(1
), pp. 91
–101
.Copyright © 2010
by American Society of Mechanical Engineers
You do not currently have access to this content.
