Output Regulation of Boolean Control Networks Under Probabilistic Outputs

IF 4 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Jie Zhong;Qinyao Pan;Die Xu;Bowen Li;Ning Li
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引用次数: 0

Abstract

In this article, the output regulation problem (ORP) of Boolean control networks (BCNs) is studied via the semitensor product of matrices, with consideration of probabilistic outputs from the reference Boolean networks (BNs). We first define the concept of mean square error (MSE) between outputs of two BNs, establishing several theoretical results on the solvability of the ORP. Subsequently, state feedback controllers are designed to address the ORP of BCNs under different scenarios. In the first scenario, ORP is addressed by developing control strategies that ensure the system's output remains within a predefined MSE threshold. In the second scenario, we focus on achieving the minimum MSE through the optimization of control strategies. The final scenario extends the second by conducting a detailed analysis to maintain this minimum MSE uniformly across all state pairs. To conclude, several numerical examples are provided to verify the effectiveness of the proposed theoretical results.
本文通过矩阵的半张积研究了布尔控制网络(BCN)的输出调节问题(ORP),并考虑了参考布尔网络(BN)的概率输出。我们首先定义了两个 BN 输出之间的均方误差 (MSE) 概念,并建立了 ORP 可解性的若干理论结果。随后,我们设计了状态反馈控制器,以解决 BCN 在不同情况下的 ORP 问题。在第一种情况下,通过制定控制策略,确保系统输出保持在预定义的 MSE 门限内,从而解决 ORP 问题。在第二种方案中,我们的重点是通过优化控制策略实现最小 MSE。最后一个方案对第二个方案进行了扩展,通过详细分析,在所有状态对中统一保持最小 MSE。最后,我们提供了几个数值示例来验证所提理论结果的有效性。
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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来源期刊
IEEE Transactions on Control of Network Systems
IEEE Transactions on Control of Network Systems Mathematics-Control and Optimization
CiteScore
7.80
自引率
7.10%
发文量
169
期刊介绍: The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.
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