Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy

Control loop Performance Assessment (CPA) plays an important role in system operations. Stochastic statistical CPA index, such as a minimum variance controller (MVC)-based CPA index, is one of the most widely used CPA indices. In this paper, a new minimum entropy controller (MEC)-based CPA method of...

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Main Authors: Jinglin Zhou, Yiqing Jia, Huixia Jiang, Shuyi Fan
Format: Article
Language:English
Published: MDPI AG 2018-05-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/5/331
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author Jinglin Zhou
Yiqing Jia
Huixia Jiang
Shuyi Fan
author_facet Jinglin Zhou
Yiqing Jia
Huixia Jiang
Shuyi Fan
author_sort Jinglin Zhou
collection DOAJ
description Control loop Performance Assessment (CPA) plays an important role in system operations. Stochastic statistical CPA index, such as a minimum variance controller (MVC)-based CPA index, is one of the most widely used CPA indices. In this paper, a new minimum entropy controller (MEC)-based CPA method of linear non-Gaussian systems is proposed. In this method, probability density function (PDF) and rational entropy (RE) are respectively used to describe the characteristics and the uncertainty of random variables. To better estimate the performance benchmark, an improved EDA algorithm, which is used to estimate the system parameters and noise PDF, is given. The effectiveness of the proposed method is illustrated through case studies on an ARMAX system.
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spelling doaj.art-03fadefce7e24f8492bfa1e9988381692022-12-22T04:23:18ZengMDPI AGEntropy1099-43002018-05-0120533110.3390/e20050331e20050331Non-Gaussian Systems Control Performance Assessment Based on Rational EntropyJinglin Zhou0Yiqing Jia1Huixia Jiang2Shuyi Fan3College of Information Science &Technology, Beijing University of Chemical Technology, Beijing 100029, ChinaCollege of Information Science &Technology, Beijing University of Chemical Technology, Beijing 100029, ChinaDepartment of Missile Engineering, Army Engineering University, Shijiazhuang 050003, ChinaDepartment of Missile Engineering, Army Engineering University, Shijiazhuang 050003, ChinaControl loop Performance Assessment (CPA) plays an important role in system operations. Stochastic statistical CPA index, such as a minimum variance controller (MVC)-based CPA index, is one of the most widely used CPA indices. In this paper, a new minimum entropy controller (MEC)-based CPA method of linear non-Gaussian systems is proposed. In this method, probability density function (PDF) and rational entropy (RE) are respectively used to describe the characteristics and the uncertainty of random variables. To better estimate the performance benchmark, an improved EDA algorithm, which is used to estimate the system parameters and noise PDF, is given. The effectiveness of the proposed method is illustrated through case studies on an ARMAX system.http://www.mdpi.com/1099-4300/20/5/331Control loop Performance Assessmentnon-Gaussian systemestimation of distribution algorithm (EDA)rational entropy
spellingShingle Jinglin Zhou
Yiqing Jia
Huixia Jiang
Shuyi Fan
Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy
Entropy
Control loop Performance Assessment
non-Gaussian system
estimation of distribution algorithm (EDA)
rational entropy
title Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy
title_full Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy
title_fullStr Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy
title_full_unstemmed Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy
title_short Non-Gaussian Systems Control Performance Assessment Based on Rational Entropy
title_sort non gaussian systems control performance assessment based on rational entropy
topic Control loop Performance Assessment
non-Gaussian system
estimation of distribution algorithm (EDA)
rational entropy
url http://www.mdpi.com/1099-4300/20/5/331
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AT shuyifan nongaussiansystemscontrolperformanceassessmentbasedonrationalentropy