Stabilization of discrete delayed system with Markovian packet dropouts under stochastic communication protocol via sliding mode approach

IF 3.7 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-01-17 DOI:10.1016/j.jfranklin.2023.12.060
Hongxu Zhang , Jun Hu , Xiaojian Yi , Yujiao Zhang , Xiaoyang Yu
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Abstract

This paper addresses the stochastic communication protocol (SCP) based controller design problem for discrete delayed system with stochastic uncertainty and Markovian packet dropouts. This issue is frequently occurred in networked control system where the packet dropouts bring obstacle for controller design. Especially, the controller terms are not allowed to be transformed directly into actuator side under the SCP. Thus, the traditional approaches are not effective to solve this design issue. In this paper, a novel sliding mode control (SMC) mechanism is given to handle the influences caused by packet dropouts, time-varying delay and SCP. A protocol-based controller is designed to guarantee that the closed-loop system is mean-square asymptotically stable with satisfactory H performance. Moreover, an optimization algorithm is further provided to compute the protocol-based gain matrix. Finally, a simulation example is proposed to verify the effectiveness of the presented protocol-based SMC design procedure.

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通过滑模方法稳定随机通信协议下具有马尔可夫丢包现象的离散延迟系统
本文针对具有随机不确定性和马尔可夫丢包的离散延迟系统,探讨了基于随机通信协议(SCP)的控制器设计问题。这个问题经常出现在网络控制系统中,数据包丢失会给控制器设计带来障碍。特别是,在 SCP 下,控制器项不允许直接转换到执行器端。因此,传统方法无法有效解决这一设计问题。本文给出了一种新颖的滑模控制(SMC)机制,以处理丢包、时变延迟和 SCP 带来的影响。本文设计了一种基于协议的控制器,以保证闭环系统的均方渐近稳定和令人满意的 H∞ 性能。此外,还进一步提供了一种优化算法来计算基于协议的增益矩阵。最后,提出了一个仿真实例来验证所介绍的基于协议的 SMC 设计程序的有效性。
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来源期刊
CiteScore
7.30
自引率
14.60%
发文量
586
审稿时长
6.9 months
期刊介绍: The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.
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