Multivariable anti-windup controller synthesis using linear matrix inequalities

被引:283
作者
Mulder, EF
Kothare, MV
Morari, M
机构
[1] Lehigh Univ, Dept Chem Engn, Bethlehem, PA 18015 USA
[2] Swiss Fed Inst Technol, Automat Control Lab, CH-8092 Zurich, Switzerland
关键词
input nonlinearity; constrained system; anti-windup; bumpless transfer; passivity theorem; linear matrix inequality; multiplier theory; absolute stability;
D O I
10.1016/S0005-1098(01)00075-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We present a general formulation of the problem of multi-variable anti-windup bumpless transfer (AWBT) controller synthesis which provides sufficient conditions for stability covering a large class of typical input nonlinearities such as saturation, deadzone, and switching/override nonlinearities. The resulting synthesis method demonstrates graceful performance degradation whenever input nonlinearities are active through minimization of a weighted L-2 gain. The main contribution of the paper is that the AWBT controller synthesis. using static compensation. is cast as a convex optimization over linear matrix inequalities. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1407 / 1416
页数:10
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