| 受约束时滞系统的抗饱和补偿器增益设计 |
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| 引用本文： | 王永强,曹永岩,孙优贤.受约束时滞系统的抗饱和补偿器增益设计[J].自动化学报,2006,32(1):1-8. |
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| 作者姓名： | 王永强 曹永岩 孙优贤 |
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| 作者单位： | 1.National Laboratory of Industrial Control Technology, Institute of Modern Control Engineering,Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027 |
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| 基金项目： | Supported by National Natural Science Foundation of P.R. China （60474045）, 973 Program of P. R.China （2002CB312200）, and the project sponsored by the Scientific Research Foundation for the Returned 0verseas Chinese Scholars of State Education Ministry, Zhejiang Province, and Zhejiang University. |
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| 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 guaran-teeing 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.
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| 关 键 词： | Actuator saturation time-delay systems compensation gain Lyapunov-Krasovskii function |
| 收稿时间： | 2005-01-24 |
| 修稿时间： | 2005年1月24日 |
Anti-windup Compensator Gain Design for Time-delay Systems with Constraints |
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| WANG Yong-Qiang,CAO Yong-Yan,SUN You-Xian.Anti-windup Compensator Gain Design for Time-delay Systems with Constraints[J].Acta Automatica Sinica,2006,32(1):1-8. |
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| Authors: | WANG Yong-Qiang CAO Yong-Yan SUN You-Xian |
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| Affiliation: | 1.National Laboratory of Industrial Control Technology, Institute of Modern Control Engineering,Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027 |
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| Abstract: | 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. |
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| Keywords: | Actuator saturation time-delay systems compensation gain Lyapunov-Krasovskii function |
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