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Dynamic Event-Triggered Tracking Control for a Class of p-Normal Nonlinear Systems
IEEE Transactions on Circuits and Systems I: Regular Papers ( IF 5.1 ) Pub Date : 2021-02-01 , DOI: 10.1109/tcsi.2020.3036367
Feng Shu , Junyong Zhai

This paper investigates the problem of dynamic event-triggered output feedback tracking control for a class of $p$ -normal nonlinear systems with unknown growth rate. To cope with the unknown growth rate imposed on the system nonlinearities, a dynamic gain technique is introduced and a constructive coordinate transformation is given. On the other hand, an event-triggered strategy combining with the dynamic gain is proposed such that the triggering threshold can be adjusted in an adaptive manner. With the help of the proposed event-triggered strategy, a dynamic event-based output feedback controller is developed to ensure that all signals of the closed-loop system are bounded while the tracking error converges to a small neighborhood of the origin. Moreover, it is proved that the Zeno behavior is excluded in the presence of nonsmooth controller. Two examples, including an induction heater circuit system and a numerical example, are provided to indicate the effectiveness of the proposed control method.

中文翻译:

一类p-正规非线性系统的动态事件触发跟踪控制

本文研究了一类具有未知增长率的$p$-正态非线性系统的动态事件触发输出反馈跟踪控制问题。为了应对施加在系统非线性上的未知增长率,引入了动态增益技术并给出了建设性坐标变换。另一方面,提出了一种结合动态增益的事件触发策略,可以自适应地调整触发阈值。借助所提出的事件触发策略,开发了一种基于动态事件的输出反馈控制器,以确保闭环系统的所有信号都是有界的,同时跟踪误差收敛到原点的一个小邻域。此外,还证明了在存在非光滑控制器的情况下,Zeno 行为被排除在外。
更新日期:2021-02-01
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