# Uncertain Fractional Grey Model Analysis with Optimal H-infinite Control

【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.
【作者单位】：College of Engineering,Bohai University College of Information Science and Technology,Bohai University
【基金】：supported by National Natural Science Foundation (NNSF) of China under Grant 61174145,61673094 and 61603080 the Fundamental Research Funds for the Central Universities of Chin a under Grant N150403006
【分类号】：N941.5;O231
【正文快照】：
1 IntroductionIt is difficult to build an accurate mathematical model ofuncertain systems for the lack of information condition,especially with small amount of data.In general,themismatch with the real system or the disturbance from theenvironment can be

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