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arXiv 2212.02142eess.SYcs.SY
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基于Monte Carlo仿真和控制器匹配的模型预测控制整定

Model Predictive Control Tuning by Monte Carlo Simulation and Controller Matching

Morten Ryberg Wahlgreen, John Bagterp Jørgensen, Mario Zanon

摘要:

本文提出了一种系统的模型预测控制(MPC)阶段费用选择方法。我们将MPC反馈律与比例积分(PI)控制器相匹配,并通过高性能蒙特卡罗(MC)仿真有效地调整该控制器。PI调谐提供了广泛的调谐可能性,然后由MPC设计继承。PI控制器的MC仿真调整基于两个不同目标的最小化; 1)2范数跟踪误差,以及2)由2范数跟踪误差和2范数输入速率的运动惩罚组成的双目标。我们应用该方法设计MPC的绝热连续搅拌釜式反应器(CSTR)中进行的放热化学反应。该过程是感兴趣的,因为非线性动力学导致非常接近约束的期望操作点。我们的MPC设计包括自动设计的阶段成本,以匹配调整PI控制器,硬输入约束,和软输出约束。随机仿真结果表明,PI控制器和MPC都能跟踪期望的工作点。然而,MPC显示减少输出约束违反相比,PI控制器。因此,MPC设计方法成功地结合了PI控制器的有效调整与MPC的约束处理特性。

英文摘要:

This paper presents a systematic method for the selection of the Model Predictive Control (MPC) stage cost. We match the MPC feedback law to a proportional-integral (PI) controller, which we efficiently tune by high-performance Monte Carlo (MC) simulation. The PI tuning offers a wide range of tuning possibilities that is then inherited by the MPC design. The MC simulation tuning of the PI controller is based on the minimization of two different objectives; 1) the 2-norm tracking error, and 2) a bi-objective consisting of the 2-norm tracking error and a 2-norm input rate of movement penalty. We apply the method to design MPC for an exothermic chemical reaction conducted in an adiabatic continuous stirred tank reactor (CSTR). The process is of interest as the nonlinear dynamics result in a desired operating point very close to a constraint. Our MPC design includes stage costs automatically designed to match the tuned PI controllers, hard input constraints, and a soft output constraint. Stochastic simulation results show that both the PI controller and the MPC can track the desired operating point. However, the MPC shows reduced output constraint violation compared to the PI controller. As such, the MPC design method successfully combines the efficient tuning of the PI controller with the constraint handling properties of MPC.

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