Anti-windup Compensator Gain Design for Time-delay Systems with Constraints  

作　　者：WANG Yong-Qiang CAO Yong-Yan SUN You-Xian 

机构地区：[1]National Laboratory of Industrial Control Technology, Institute of Modern Control Engineering, Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027

出　　处：《自动化学报》2006年第1期1-8,共8页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of P.R.China (60474045)973 Program of P.R.China (2002CB312200)the project sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars of State Education Ministry, Zhejiang Province, and Zhejiang University

摘　　要：Systems that are subject to both time-delay in state and input saturation are considered. We synthesize the anti-windup gain to enlarge the estimation of domain of attraction while guaranteeing the stability of the closed-loop system. An ellipsoid and a polyhedral set are used to bound the state of the system, which make a new sector condition valid. Other than an iterative algorithm, a direct designing algorithm is derived to compute the anti-windup compensator gain, which reduces the conservatism greatly. We analyze the delay-independent and delay-dependent cases, respectively. Finally, an optimization algorithm in the form of LMIs is constructed to compute the compensator gain which maximizes the estimation of domain of attraction. Numerical examples are presented to demonstrate the effectiveness of our approach.Systems that are subject to both time-delay in state and input saturation are considered. We synthesize the anti-windup gain to enlarge the estimation of domain of attraction while guaranteeing the stability of the closed-loop system. An ellipsoid and a polyhedral set are used to bound the state of the system, which make a new sector condition valid. Other than an iterative algorithm, a direct designing algorithm is derived to compute the anti-windup compensator gain, which reduces the conservatism greatly. We analyze the delay-independent and delay-dependent cases, respectively. Finally, an optimization algorithm in the form of LMIs is constructed to compute the compensator gain which maximizes the estimation of domain of attraction. Numerical examples are presented to demonstrate the effectiveness of our approach.

关 键 词：激励饱和度 时滞系统 补偿增益 LYAPUNOV-KRASOVSKII函数 稳定性 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]