王磊

个人信息Personal Information

教授

博士生导师

硕士生导师

主要任职:教务处副处长兼通识与基础教育中心主任

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:运筹学与控制论

电子邮箱:wanglei@dlut.edu.cn

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Gain-scheduled control of time-varying delay systems with input constraint

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论文类型:期刊论文

发表时间:2019-10-03

发表刊物:INTERNATIONAL JOURNAL OF CONTROL

收录刊物:SCIE、EI

卷号:92

期号:10

页面范围:2291-2299

ISSN号:0020-7179

关键字:Actuator saturation; time-varying delay; state feedback; gain-scheduled control; ISS

摘要:This paper investigates gain-scheduled control design for linear systems with time-varying state delays subject to actuator saturation and external disturbance. Assuming the disturbance is peak bounded, a sufficient delay-dependent condition is established to guarantee that a family of level sets, corresponding to a novel parameter-dependent Lyapunov-Krasovskii functional, are nested and invariant to the closed-loop system. The invariant sets are then used to obtain nested reachable sets (ellipsoids) to bound the closed-loop states. A family of continuous controllers are designed based on these nested ellipsoids. The controller with the best performance is selected, each time, based on the closed-loop state vector, while complying with the saturation bound, and the resulting closed-loop system is locally input-to-state stable. All conditions are represented in the form of linear matrix inequalities (LMIs) by the linear spline method. Finally, the benefit of the control method is illustrated by two examples.