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Gain-scheduled control of time-varying delay systems with input constraint
发表时间:2019-11-06 点击次数:
论文类型:期刊论文
第一作者:Li, Pengyuan
通讯作者:Sun, XM (reprint author), Dalian Univ Technol, Sch Control Sci & Engn, Dalian, Peoples R China.
合写作者:Sun, Xi-Ming,Jabbari, Faryar,Wang, Lei
发表时间:2019-10-03
发表刊物:INTERNATIONAL JOURNAL OF CONTROL
收录刊物:SCIE、EI
文献类型:J
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.
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