Stability analysis and anti-windup design for multiple time-varying delay systems subject to actuator saturation

WANG Naizhou; Pei Hailong; ZHANG Cheng

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Stability analysis and anti-windup design for multiple time-varying delay systems subject to actuator saturation

WANG Naizhou 1,Pei Hailong 2,ZHANG Cheng 2

1.KeyLaboratoryofAutonomousSystemsandNetworkedControl(SouthChinaUniversityofTechnology) ,MinistryofEducation,Guangzhou,

2.KeyLaboratoryofAutonomousSystemsandNetworkedControl(SouthChinaUniversityofTechnology),MinistryofEducation

*Correspondence author

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Funding: the Specialized Research Fund for theDoctoral Program of Higher Education （No.No. 20100172110023）, National Natural Science Foundationof China （No.No. 61174053）

Opened online:19 March 2014

Accepted by: none

Citation: WANG Naizhou,Pei Hailong,ZHANG Cheng.Stability analysis and anti-windup design for multiple time-varying delay systems subject to actuator saturation[OL]. [19 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4589059

This paper investigates the characterization of stability regionsfor linear systems with multiple time-varying delays subject to actuator saturations through anti-windup strategies. In particular, the anti-windup synthesis considering both magnitude and rate limitsof time-varying delays is addressed. Using the general sectorcondition and by quadratic Lyapunov functional, the stabilityconditions in linear matrix inequality (LMI) forms are presented.Hence, the estimation of the stability region is maximized bysolving a convex optimization problem. At the end of the paper,numerical examples are shown to illustrate the effectiveness of theproposed methods and the trade-off between the size of the magnitudeand rate limits of time-varying delays and the stability regions.

Keywords:Anti-windup, stability analysis, time-varying delay system

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