arXiv:2605.06469math.OCcs.LG2026-05被引 3

提出动态受控变量,让控制系统自动适应变化过程。

Dynamic Controlled Variables Based Dynamic Self-Optimizing Control

论文配图:Dynamic Controlled Variables Based Dynamic Self-Optimizing Control
图 1 · 摘自论文原文
  • 引入动态受控变量(DCVs)概念,构建隐式控制策略
  • 用深度神经网络实现非固定时长动态优化,效果优于传统方法
  • 适合复杂批次过程和工艺切换场景,提升控制自适应能力

自优化控制通过经济目标指导受控变量选择,使系统在恒定设定值下实现优化。当前该方法主要应用于稳态优化问题,但随着过程系统向精细化发展,动态过程(如批次过程、牌号切换)的优化需求日益突出。本文首次形式化定义动态自优化控制问题,提出‘动态受控变量’(DCVs)新概念,并基于此构建隐式控制策略。理论分析表明DCVs相较于显式控制策略更具优势与通用性。同时,提出数据驱动的DCV设计方法,将变量设计视为映射识别问题,采用深度神经网络进行参数化。三个案例验证了DCVs在逼近多值、不连续函数方面的有效性,以及在非固定时域动态优化问题中的应用能力,突破了传统自优化控制的局限。

原文摘要 · Abstract (English)

Self-optimizing control is a strategy for selecting controlled variables, where the economic objective guides the selection and design of controlled variables, with the expectation that maintaining the controlled variables at constant values can achieve optimization effects, translating the process optimization problem into a process control problem. Currently, self-optimizing control is widely applied to steady-state optimization problems. However, the development of process systems exhibits a trend towards refinement, highlighting the importance of optimizing dynamic processes such as batch processes and grade transitions. This paper formally introduces the self-optimizing control problem for dynamic optimization, termed the dynamic self-optimizing control problem, extending the original definition of self-optimizing control. A novel concept, "dynamic controlled variables" (DCVs), is proposed, and an implicit control policy is presented based on this concept. The paper theoretically analyzes the advantages and generality of DCVs compared to explicit control strategies and elucidates the relationship between DCVs and traditional controllers. Moreover, this paper puts forth a data-driven approach to designing self-optimizing DCVs, which considers DCV design as a mapping identification problem and employs deep neural networks to parameterize the variables. Three case studies validate the efficacy and superiority of DCVs in approximating multi-valued and discontinuous functions, as well as their application to dynamic optimization problems with non-fixed horizons, which traditional self-optimizing control methods are unable to address.

自优化控制动态优化深度学习过程控制

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