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基于输入防碰撞切换的时滞切换系统的有限时间控制。

Finite-time control of delay switched systems via input anti-bump switching.

机构信息

Institute of Artificial Intelligence and Marine Robotics, School of Marine Electrical Engineering, Dalian Maritime University, Dalian, 116026, China.

College of Marine Electrical Engineering, Dalian Maritime University, Dalian, 116026, China.

出版信息

ISA Trans. 2022 Mar;122:387-397. doi: 10.1016/j.isatra.2021.05.005. Epub 2021 May 8.

DOI:10.1016/j.isatra.2021.05.005
PMID:33985789
Abstract

This article devotes to the finite-time (FT) input anti-bump switching control (SC) issue for a kind of delay switched systems (DSSs). Our objective is to carry the FT control while bringing down possible large jumps in the control input. First, a formulation of the alleviation for the control signal jumps is given. Second, by the multiple Lyapunov-Krasovskii functions method, a sufficient criterion is developed to derive the DSSs to hold both the FT H∞ performance combined with the input anti-bump switching performance, capturing the dual objectives control of the switched system, both transient performance aims. Also, via this criterion, these two performances are admitted not to be held by subsystems. Then, a switching index in conjunction with a switching controller are simultaneously constructed to solve the problem of the FT input anti-bump SC of DSSs. Finally, through the simulation verification of an F-18 aircraft model, the validity of the method driven is illustrated.

摘要

本文致力于研究一类时滞切换系统(DSS)的有限时间(FT)输入防碰撞开关控制(SC)问题。我们的目标是在降低控制输入中可能出现的大跳变的同时进行 FT 控制。首先,给出了控制信号跳变缓解的一种表示形式。其次,通过多个 Lyapunov-Krasovskii 函数方法,开发了一个充分准则,以推导出 DSS 同时满足 FT H∞性能和输入防碰撞开关性能,实现切换系统的双重目标控制,兼顾瞬态性能目标。此外,通过该准则,这两个性能不被子系统所满足。然后,构建了一个切换索引与切换控制器相结合的方法来解决 DSS 的 FT 输入防碰撞 SC 问题。最后,通过对 F-18 飞机模型的仿真验证,说明了所提出方法的有效性。

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