大规模分布式系统的可重构模型预测控制

IF 4 3区 计算机科学 Q1 COMPUTER SCIENCE, INFORMATION SYSTEMS IEEE Systems Journal Pub Date : 2024-03-04 DOI:10.1109/JSYST.2024.3366911
Jun Chen;Lei Zhang;Weinan Gao
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引用次数: 0

摘要

对于大规模分布式系统而言,集中式模型预测控制(MPC)往往需要大量计算资源,而分布式 MPC 一般只能实现次优控制性能。为了解决这些局限性,本文提出了一种适用于大规模分布式系统的新的可重构 MPC 框架,其中为每个控制环路制定并求解了一个具有时变结构的最优控制问题。更具体地说,在每个时间步长,控制输入的一个子集会被动态地选择出来通过 MPC 进行优化,而之前的最优解则应用于其余的控制输入。由于只对一个输入子集进行优化,因此会产生性能损失的理论上限,以保证最坏情况下的性能。为了将性能损失降至最低,该上限将用于指导 MPC 的重新配置,即优化控制输入的选择。通过案例研究,包括电池单元间平衡控制和多车编队控制,说明了所提方法的适用性。数值结果证实,与传统的集中式 MPC 相比,所提出的方法可以实现更好的控制性能,而且所需的计算时间更少。
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Reconfigurable Model Predictive Control for Large Scale Distributed Systems
For large scale distributed systems, centralized model predictive control (MPC) often requires high computational resources, while generally distributed MPC can only achieve suboptimal control performance. To address these limitations, this article proposes a new reconfigurable MPC framework for large scale distributed systems, in which an optimal control problem with a time-varying structure is formulated and solved for each control loop. More specifically, at each time step, a subset of the control inputs is dynamically selected to be optimized by MPC, while the previous optimal solution is applied to the remaining control inputs. A theoretical upper bound on the performance loss, due to the fact that only a subset of inputs is optimized, is then derived to guarantee the worst-case performance. To minimize the performance loss, this upper bound is then used to guide the reconfiguration of MPC, i.e., the selection of control inputs for optimization. The applicability of the proposed approach is illustrated through case studies, including battery cell-to-cell balancing control and multivehicle formation control. Numerical results confirm that the proposed approach can achieve better control performance than distributed MPC and requires less computation time than conventional centralized MPC.
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来源期刊
IEEE Systems Journal
IEEE Systems Journal 工程技术-电信学
CiteScore
9.80
自引率
6.80%
发文量
572
审稿时长
4.9 months
期刊介绍: This publication provides a systems-level, focused forum for application-oriented manuscripts that address complex systems and system-of-systems of national and global significance. It intends to encourage and facilitate cooperation and interaction among IEEE Societies with systems-level and systems engineering interest, and to attract non-IEEE contributors and readers from around the globe. Our IEEE Systems Council job is to address issues in new ways that are not solvable in the domains of the existing IEEE or other societies or global organizations. These problems do not fit within traditional hierarchical boundaries. For example, disaster response such as that triggered by Hurricane Katrina, tsunamis, or current volcanic eruptions is not solvable by pure engineering solutions. We need to think about changing and enlarging the paradigm to include systems issues.
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