Event-Triggered Stabilization of a Class of Nonlinear Time-Delay Systems

Pengpeng Zhang; Tengfei Liu; Zhong-Ping Jiang

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Event-Triggered Stabilization of a Class of Nonlinear Time-Delay Systems

机译：一类非线性时滞系统的事件触发稳定

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This article presents a solution to event-triggered stabilization of a class of nonlinear time-delay systems in the strict-feedback form. Set-valued maps are employed to handle the event-triggered sampling errors, and the closed-loop system is transformed into an interconnection of input-to-state stable subsystems through a set-valued constructive design. The event trigger is designed to satisfy a cyclic-small-gain condition, and the stability of the closed-loop event-triggered system is guaranteed by the cyclic-small-gain theorem for time-delay systems. The proposed design is verified by a practical example of cascade connected reactors.

机译：本文介绍了在严格反馈表单中触发一类非线性时滞系统的事件触发的解决方案。采用设定值映射来处理事件触发的采样误差，闭环系统通过设定值的建设性设计转换为输入到状态稳定子系统的互连。事件触发器被设计为满足循环 - 小增益条件，并且通过用于时延系统的循环小增益定理保证闭环事件触发系统的稳定性。所提出的设计通过级联连接的反应器的实际示例来验证。

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来源
《Automatic Control, IEEE Transactions on》 |2021年第1期|421-428|共8页
作者
Pengpeng Zhang; Tengfei Liu; Zhong-Ping Jiang;
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作者单位

State Key Laboratory of Synthetical Automation for Process Industries Northeastern University Shenyang China;

State Key Laboratory of Synthetical Automation for Process Industries Northeastern University Shenyang China;

Department of Electrical and Computer Engineering New York University Brooklyn NY USA;

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正文语种 eng
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关键词
Robustness; Asymptotic stability; Stability analysis; Closed loop systems; Inductors; Nonlinear systems;

机译：鲁棒性;渐近稳定性;稳定性分析;闭环系统;电感;非线性系统;

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3. Stability analysis and stabilization of a class of discrete-time nonlinear switched systems with time-delay and affine parametric uncertainty [J] . Baleghi N. A., Shafiei M. H. Journal of vibration and control: JVC . 2019,第7期

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5. Stabilization of time-delay systems using the PID controller. [D] . Silva, Guillermo J. 2000

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Event-Triggered Stabilization of a Class of Nonlinear Time-Delay Systems

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