随机通信协议下基于 Roesser 模型的二维马尔可夫跃迁系统的事件触发控制

IF 1.8 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Yu Zhang, Yuxiang Ji, Taiping Jiang, Jianping Zhou
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引用次数: 0

摘要

本文主要研究基于 Roesser 模型、具有多个通信通道的二维(2D)马尔可夫跳跃系统的事件触发控制问题。为了优化通信资源的利用,本文根据二维马尔可夫跃迁工厂的结构特征,提出了一种事件触发规则(ETR)。此外,还利用随机通信协议(SCP)来安排从控制器到执行器的传输。根据 ETR 和 SCP,制定了一种异步状态反馈控制方案,允许控制器和二维工厂之间出现模式失配。建立了一个关于随机稳定性和闭环二维系统预定义干扰衰减性能的充分条件。在此条件和线性矩阵不等式的基础上,开发了一种计算高效的方法来设计所需的状态反馈控制器增益。最后,通过一个涉及达尔布方程的仿真实例,证明了所提出的事件触发控制方法的可行性和有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Event-Triggered Control for Roesser Model-Based 2D Markov Jump Systems Under Stochastic Communication Protocol

Event-Triggered Control for Roesser Model-Based 2D Markov Jump Systems Under Stochastic Communication Protocol

This paper is concerned with the event-triggered control problem for Roesser model-based two-dimensional (2D) Markov jump systems with multiple communication channels. In order to optimize the utilization of communication resources, an event-triggered rule (ETR) is proposed based on the structural characteristics of the 2D Markov jump plant. In addition, a stochastic communication protocol (SCP) is utilized to schedule transmissions from the controller to the actuators. Under the ETR and the SCP, an asynchronous state-feedback control scheme is formulated, allowing for mode mismatches between the controller and the 2D plant. A sufficient condition on both stochastic stability and a predefined \({\mathcal {H}}_{\infty }\) disturbance-attenuation performance of the closed-loop 2D system is established. Building upon this condition and linear matrix inequalities, a computationally efficient method is developed for designing the required state-feedback controller gains. Finally, the feasibility and effectiveness of the proposed event-triggered control approach are demonstrated by the application of a simulation example involving the Darboux equation.

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来源期刊
Circuits, Systems and Signal Processing
Circuits, Systems and Signal Processing 工程技术-工程:电子与电气
CiteScore
4.80
自引率
13.00%
发文量
321
审稿时长
4.6 months
期刊介绍: Rapid developments in the analog and digital processing of signals for communication, control, and computer systems have made the theory of electrical circuits and signal processing a burgeoning area of research and design. The aim of Circuits, Systems, and Signal Processing (CSSP) is to help meet the needs of outlets for significant research papers and state-of-the-art review articles in the area. The scope of the journal is broad, ranging from mathematical foundations to practical engineering design. It encompasses, but is not limited to, such topics as linear and nonlinear networks, distributed circuits and systems, multi-dimensional signals and systems, analog filters and signal processing, digital filters and signal processing, statistical signal processing, multimedia, computer aided design, graph theory, neural systems, communication circuits and systems, and VLSI signal processing. The Editorial Board is international, and papers are welcome from throughout the world. The journal is devoted primarily to research papers, but survey, expository, and tutorial papers are also published. Circuits, Systems, and Signal Processing (CSSP) is published twelve times annually.
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