PERFORMANCE ESTIMATES FOR ECONOMIC MODEL PREDICTIVE CONTROL AND THEIR APPLICATION IN PROPER ORTHOGONAL DECOMPOSITION-BASED IMPLEMENTATIONS

Gruene Lars; Mechelli Luca; Pirkelmann Simon; Volkwein Stefan

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PERFORMANCE ESTIMATES FOR ECONOMIC MODEL PREDICTIVE CONTROL AND THEIR APPLICATION IN PROPER ORTHOGONAL DECOMPOSITION-BASED IMPLEMENTATIONS

机译：经济模型预测控制的性能估计及其在适当正交分解的实施中的应用

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In this paper performance indices for economic model predictive controllers (MPC) are considered. Since existing relative performance measures, designed for stabilizing controllers, fail in the economic setting, we propose alternative absolute quantities. We show that these can be applied to assess the performance of the closed loop trajectories on-line while the controller is running. The advantages of our approach are demonstrated by simulations involving a convection-diffusion-system. The method is also combined with proper orthogonal decomposition, thus demonstrating the possibility for both efficient and performant MPC for systems governed by partial differential equations.

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来源
《Mathematical control and related fields》 |2021年第3期|共21页
作者
Gruene Lars; Mechelli Luca; Pirkelmann Simon; Volkwein Stefan;
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作者单位

Univ Bayreuth Univ Str 30 D-95447 Bayreuth Germany;

Univ Konstanz Univ Str 10 D-78464 Constance Germany;

Univ Bayreuth Univ Str 30 D-95447 Bayreuth Germany;

Univ Konstanz Univ Str 10 D-78464 Constance Germany;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Economic model predictive control; proper orthogonal decomposition;

机译：经济模式预测控制;适当的正交分解;

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1. A Pragmatic Approach for Assessing the Economic Performance of Model Predictive Control Systems and Its Industrial Application [J] . 赵超, 苏宏业, 古勇, 中国化学工程学报：英文版 . 2009,第002期
2. An Economical Approach to Flow-Adaptive Moderation of Spurious Ensemble Correlations and Its Application in the Proper Orthogonal Decomposition-Based Ensemble Four Dimensional Variational Assimilation Method [J] . ZHANG Hong-Qin, TIAN Xiang-Jun, ZHANG Cheng-Ming 大气和海洋科学快报（英文版） . 2015,第005期
3. Application of Nonlinear Predictive Control Based on RBF Network Predictive Model in MCFC Plant [J] . CHEN Yue-hua, CAO Guang-yi, ZHU Xin-jian 上海交通大学学报（英文版） . 2007,第001期
4. Proper orthogonal decomposition-based control of transverse beam vibrations: experimental implementation [J] . Banks H.T., del Rosario R.C.H., Tran H.T. IEEE Transactions on Control Systems Technology . 2002,第5期

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7. Economic model predictive control of parabolic PDE systems: Handling state constraints by adaptive proper orthogonal decomposition [C] . Liangfeng Lao, Ellis Matthew, Armaou Antonios, IEEE Annual Conference on Decision and Control . 2014

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11. Proper Orthogonal Decomposition Based Control of Transverse Beam Vibrations: Experimental Implementation [R] . Del Rosario, R. C. , Tran, H. T. , Banks, H. T. 1999

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PERFORMANCE ESTIMATES FOR ECONOMIC MODEL PREDICTIVE CONTROL AND THEIR APPLICATION IN PROPER ORTHOGONAL DECOMPOSITION-BASED IMPLEMENTATIONS

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