基于自适应松弛的非保守机会约束随机MPC

IF 3.9 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS
Avik Ghosh;Cristian Cortes-Aguirre;Yi-An Chen;Adil Khurram;Jan Kleissl
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引用次数: 0

摘要

机会约束随机模型预测控制器(cc - smpc)在不确定条件下权衡了工厂经济性能的完全约束满足。以往的CC-SMPC工程在违反约束方面过于保守,导致经济效益较差。其他过去的工作需要关于不确定性集的先验信息,限制了它们的应用。本文考虑了一个离散线性时不变(LTI)系统,该系统具有输入硬约束和状态机会约束,具有未知的不确定性分布、统计量或样本。本文提出了一种新的自适应在线更新规则,该规则基于过去约束违反的时间平均值来放松状态约束,从而降低闭环的保守性。在理想控制策略假设下,证明了约束违逆的时间平均值渐近收敛于最大允许违逆概率。将该方法应用于具有光伏发电和负荷需求的并网微电网中电池储能系统(BESS)的优化调度,并对BESS的荷电状态(SOC)进行了机会约束。仿真结果表明,该方法与传统的无机会约束的经济模型预测控制(EMPC)和最先进的有机会约束的方法相比,具有更好的电力成本节约潜力。我们在闭环中非保守地满足机会约束,有效地权衡了增加的成本节约和对BESS寿命的最小不利影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Adaptive Relaxation-Based Nonconservative Chance Constrained Stochastic MPC
Chance constrained stochastic model predictive controllers (CC-SMPCs) tradeoff full constraint satisfaction for economical plant performance under uncertainty. Previous CC-SMPC works are over-conservative in constraint violations leading to worse economic performance. Other past works require a priori information about the uncertainty set, limiting their application. This article considers a discrete linear time-invariant (LTI) system with hard constraints on inputs and chance constraints on states, with unknown uncertainty distribution, statistics, or samples. This work proposes a novel adaptive online update rule to relax the state constraints based on the time average of past constraint violations, to achieve reduced conservativeness in closed-loop. Under an ideal control policy assumption, it is proven that the time average of constraint violations asymptotically converges to the maximum allowed violation probability. The method is applied for optimal battery energy storage system (BESS) dispatch in a grid-connected microgrid (MG) with photovoltaic (PV) generation and load demand, with chance constraints on BESS state of charge (SOC). Realistic simulations show the superior electricity cost-saving potential of the proposed method as compared with the traditional economic model predictive control (EMPC) without chance constraints, and a state-of-the-art approach with chance constraints. We satisfy the chance constraints nonconservatively in closed-loop, effectively trading off increased cost savings with minimal adverse effects on BESS lifetime.
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来源期刊
IEEE Transactions on Control Systems Technology
IEEE Transactions on Control Systems Technology 工程技术-工程:电子与电气
CiteScore
10.70
自引率
2.10%
发文量
218
审稿时长
6.7 months
期刊介绍: The IEEE Transactions on Control Systems Technology publishes high quality technical papers on technological advances in control engineering. The word technology is from the Greek technologia. The modern meaning is a scientific method to achieve a practical purpose. Control Systems Technology includes all aspects of control engineering needed to implement practical control systems, from analysis and design, through simulation and hardware. A primary purpose of the IEEE Transactions on Control Systems Technology is to have an archival publication which will bridge the gap between theory and practice. Papers are published in the IEEE Transactions on Control System Technology which disclose significant new knowledge, exploratory developments, or practical applications in all aspects of technology needed to implement control systems, from analysis and design through simulation, and hardware.
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