作者
JM Gomes da Silva Jr, Sophie Tarbouriech
发表日期
2006/3/1
期刊
Systems & Control Letters
卷号
55
期号
3
页码范围
184-192
出版商
North-Holland
简介
The purpose of this paper is to study the determination of stability regions for discrete-time linear systems with saturating controls through anti-windup schemes. Considering that a linear dynamic output feedback has been designed to stabilize the linear discrete-time system (without saturation), a method is proposed for designing an anti-windup gain that maximizes an estimate of the basin of attraction of the closed-loop system in the presence of saturation. It is shown that the closed-loop system obtained from the controller plus the anti-windup gain can be locally modeled by a linear system with a deadzone nonlinearity. Then, based on the use of a new sector condition and quadratic Lyapunov functions, stability conditions in an LMI form are stated. These conditions are then considered in a convex optimization problem in order to compute an anti-windup gain that maximizes an estimate of the basin of attraction of …
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JMG da Silva Jr, S Tarbouriech - Systems & Control Letters, 2006