Advances in modeling and control of nonlinear distributed parameter systems and their applications: A review

IF 3.9 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of Process Control Pub Date : 2025-09-20 DOI:10.1016/j.jprocont.2025.103549

Bowen Xu , Weiqi Yang , Xinjiang Lu , Yunxu Bai , Yajun Wang

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引用次数: 0

Abstract

Numerous processes in various fields including engineering, physics, and chemistry, etc., belong to distributed parameter systems (DPSs). These systems are strongly spatiotemporal coupled, possessing complex time-varying dynamics and infinite-dimensional spatial distribution characteristics. Additionally, there are unknown initial/ boundary conditions and parameter variation during the interaction of information or energy exchange, especially in complex application scenarios (i.e., large operation range, large spatial region, etc.). These factors make the modeling, prediction and control of spatiotemporal dynamics extremely difficult and challenging. With the enrichment of computational resources and data-driven/ intelligent methods, many new frameworks and strategies are designed and applied for nonlinear DPSs, which promotes the research diversity and maturity of DPS theory. Meanwhile, the development also gives rise to new problems. From the perspective of review, this paper starts from the practical modeling and control problems in combination with several application cases of nonlinear DPSs, and summarizes the research and application progress, including traditional methods, data-driven methods, intelligent modeling methods etc., and looks forward to the future development trends, providing guidance for related research and practical problem-solving of nonlinear DPSs.

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非线性分布参数系统的建模与控制及其应用研究进展

工程、物理、化学等领域的许多过程都属于分布式参数系统（dps）。这些系统具有强烈的时空耦合性，具有复杂的时变动力学和无限维空间分布特征。此外，在信息或能量交换的交互过程中，存在未知的初始/边界条件和参数变化，特别是在复杂的应用场景中（如大操作范围、大空间区域等）。这些因素使得时空动态的建模、预测和控制变得极其困难和具有挑战性。随着计算资源的丰富和数据驱动/智能方法的发展，许多新的DPS框架和策略被设计和应用，促进了DPS理论研究的多样性和成熟度。与此同时，发展也带来了新的问题。本文从综述的角度出发，结合非线性dps的几个应用案例，从实际建模和控制问题出发，总结了包括传统方法、数据驱动方法、智能建模方法等方面的研究和应用进展，并展望了未来的发展趋势，为非线性dps的相关研究和实际解决提供指导。

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来源期刊

Journal of Process Control 工程技术-工程：化工

CiteScore

7.00

自引率

11.90%

发文量

159

审稿时长

74 days

期刊介绍： This international journal covers the application of control theory, operations research, computer science and engineering principles to the solution of process control problems. In addition to the traditional chemical processing and manufacturing applications, the scope of process control problems involves a wide range of applications that includes energy processes, nano-technology, systems biology, bio-medical engineering, pharmaceutical processing technology, energy storage and conversion, smart grid, and data analytics among others. Papers on the theory in these areas will also be accepted provided the theoretical contribution is aimed at the application and the development of process control techniques. Topics covered include: • Control applications• Process monitoring• Plant-wide control• Process control systems• Control techniques and algorithms• Process modelling and simulation• Design methods Advanced design methods exclude well established and widely studied traditional design techniques such as PID tuning and its many variants. Applications in fields such as control of automotive engines, machinery and robotics are not deemed suitable unless a clear motivation for the relevance to process control is provided.