Uncertain Fractional Grey Model Analysis with Optimal H-infinite Control

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• 英文论文题名：Uncertain Fractional Grey Model Analysis with Optimal H-infinite Control
• 论文作者：Yang Yang ; Xiuqin Wang
• 英文论文作者：Yang Yang ; Xiuqin Wang ; College of Engineering ; Bohai University ; College of Information Science and Technology ; Bohai University
• 年：2017
• 作者机构：College of Engineering,Bohai University;College of Information Science and Technology,Bohai University;
• 英文论文关键词：H-infinite control ; grey system ; fractional grey model ; uncertain information
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：N941.5;O231
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：5
• 文件大小：386k
• 原文格式：D
• 会议级别：全国

摘要

Model inaccuracies or parameter uncertainties are unavoidable in the practical control systems, while the uncertain properties could be modeled and estimated by the grey system. Among many grey models, fractional grey model is recently proposed and popularly used in many model analysis and prediction problems. In this paper, the structure uncertainties and external disturbances are considered using the fractional grey model for control problem. When the model of the fractional grey controlled object and its parameters range is known, based on the model properties, it can be also approximated by a high order one, then the satisfactory adaptive ability and robustness can be obtained by the H-infinite optimal control. In the numerical simulation part, the corresponding results demonstrate the effectiveness of the robust fractional grey control algorithm, and it can be used for other grey control and related problems.
Model inaccuracies or parameter uncertainties are unavoidable in the practical control systems, while the uncertain properties could be modeled and estimated by the grey system. Among many grey models, fractional grey model is recently proposed and popularly used in many model analysis and prediction problems. In this paper, the structure uncertainties and external disturbances are considered using the fractional grey model for control problem. When the model of the fractional grey controlled object and its parameters range is known, based on the model properties, it can be also approximated by a high order one, then the satisfactory adaptive ability and robustness can be obtained by the H-infinite optimal control. In the numerical simulation part, the corresponding results demonstrate the effectiveness of the robust fractional grey control algorithm, and it can be used for other grey control and related problems.

引文

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