Model recovery anti-windup for continuous-time rate and magnitude saturated linear plants

被引:27
作者
Forni, Fulvio [1 ]
Galeani, Sergio [3 ]
Zaccarian, Luca [2 ,3 ,4 ]
机构
[1] Univ Liege, Dept Elect Engn & Comp Sci, B-4000 Liege, Belgium
[2] CNRS, LAAS, F-31077 Toulouse, France
[3] Univ Toulouse, UPS, INSA, INP,ISAE,UTM,LAAS,UT1, F-31077 Toulouse, France
[4] Univ Rome, Dipartimento Informat Sistemi & Prod, I-00133 Rome, Italy
关键词
Anti-windup; Magnitude saturation; Rate saturation; DESIGN METHOD; SYSTEMS SUBJECT; AMPLITUDE; STABILIZATION; STABILITY; CONSTRAINTS; FRAMEWORK;
D O I
10.1016/j.automatica.2012.05.019
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper two approaches are given for anti-windup design for nonlinear control systems with linear plants subject to limitations both in the magnitude and the rate of variation of the control input. Both approaches are based on the so-called Model Recovery Anti-Windup (MRAW) framework. The first approach is built by treating the rate + magnitude saturation as a single dynamic nonlinearity, while in the second one, the dynamic compensator dynamics is extended with extra states to treat the two saturations separately. Both approaches lead to global stability with exponentially stable plants and local stability in all other cases. For both approaches, stability and performance guarantees are proven, numerical recipes are given and the relative merits are comparatively highlighted on a simulation example. (c) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1502 / 1513
页数:12
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