二维切换系统的事件触发动态输出量化控制

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-12-23 DOI:10.15388/namc.2023.28.29622

Lei Shi, Rongqiang Tang, Xinsong Yang, Jiaxuan Ding, Zhilu Xu, Yingchun Li

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引用次数: 0

摘要

众所周知，设计模式相关的事件触发控制(MDETC)给理论分析带来了挑战，特别是对于二维切换系统。因此，对于二维切换Fornasini-Marchesini局部状态空间(FMLSS)系统，本文设计了一个MDETC来几乎肯定地研究全局指数镇定(GES as)。设计了一种基于动态输出量化的MDETC控制方案，不仅具有广泛的实用性，而且大大节省了网络带宽资源。通过构造包含两个时间方向的模相关Lyapunov函数，提供了一些新的充分条件，使切换FMLSS系统达到GES as。与大多数先前的结果不同，我们的结果不要求每个模态稳定，甚至在添加控制后也不需要。最后，通过数值实验验证了主要理论结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Event-triggered dynamic output quantized control for 2-D switched systems

It is well known that designing mode-dependent event-triggered control (MDETC) brings challenging difficulties to theoretical analysis, especially for two-dimensional (2-D) switched systems. Therefore, for 2-D switched Fornasini–Marchesini local state-space (FMLSS) systems, this paper designs a MDETC to investigate global exponential stabilization almost surely (GES a.s.). A MDETC based on dynamic output quantization control scheme is designed, which not only has a wide range of practicability, but also greatly saves network bandwidth resources. By constructing mode-dependent Lyapunov functions that include two time directions, some novel sufficient conditions are provided such that the switched FMLSS system achieves GES a.s. Unlike most previous results, our results do not require each mode to be stable, not even after adding control. Finally, numerical experiments are provided to verify the validity of our main theoretical results.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.