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切换非线性系统的事件触发跟踪控制

Event-triggered tracking control for switched nonlinear systems.

作者信息

Dong Xiaoxiao, Qiao Huan, Zhu Quanmin, Yao Yufeng

机构信息

School of Science, Shenyang University of Technology, Shenyang 110870, China.

Department or School of Engineering Design and Mathematics, University of the West of England, Bristol, BS16 1QY, UK.

出版信息

Math Biosci Eng. 2023 Jun 25;20(8):14046-14060. doi: 10.3934/mbe.2023627.

Abstract

In this paper, we study the output tracking control problem based on the event-triggered mechanism for cascade switched nonlinear systems. Firstly, an integral controller based on event-triggered conditions is designed, and the output tracking error of the closed-loop system can converge to a bounded region under the switching signal satisfying the average dwell time. Secondly, it is proved that the proposed minimum inter-event interval always has a positive lower bound and the Zeno behavior is successfully avoided during the sampling process. Finally, the numerical simulation is given to verify the feasibility of the proposed method.

摘要

在本文中,我们研究基于事件触发机制的级联切换非线性系统的输出跟踪控制问题。首先,设计了一种基于事件触发条件的积分控制器,在满足平均驻留时间的切换信号下,闭环系统的输出跟踪误差可收敛到一个有界区域。其次,证明了所提出的最小事件间间隔始终具有正的下界,并且在采样过程中成功避免了芝诺行为。最后,通过数值仿真验证了所提方法的可行性。

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