Decentralized PI-control and anti-windup in resource sharing networks

IF 2.5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS European Journal of Control Pub Date : 2024-11-01 DOI:10.1016/j.ejcon.2024.101049
Felix Agner , Jonas Hansson , Pauline Kergus , Anders Rantzer , Sophie Tarbouriech , Luca Zaccarian
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Abstract

We consider control of multiple stable first-order agents which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded input nonlinearities. We show that such plants can be globally asymptotically stabilized to a unique equilibrium using fully decentralized proportional–integral controllers equipped with anti-windup and subject to local tuning rules. In addition, we show that when the nonlinearities correspond to the saturation function, the closed loop asymptotically minimizes a weighted 1-norm of the agents state mismatch. The control strategy is finally compared to other state-of-the-art controllers on a numerical district heating example.

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资源共享网络中的分散 PI 控制和防倒转功能
我们考虑对多个稳定的一阶代理进行控制,这些代理具有由 M 矩阵描述的控制耦合。这些代理受增量部门有界输入非线性的影响。我们的研究表明,使用配备防倒退功能的全分散比例积分控制器,并根据局部调整规则,可以将这些植物全局渐近地稳定在一个唯一的平衡点上。此外,我们还证明,当非线性与饱和函数相对应时,闭环可近似最小化代理状态失配的加权 1 正态。最后,我们在一个区域供热数值示例中将该控制策略与其他最先进的控制器进行了比较。
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来源期刊
European Journal of Control
European Journal of Control 工程技术-自动化与控制系统
CiteScore
5.80
自引率
5.90%
发文量
131
审稿时长
1 months
期刊介绍: The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.
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