Experimental Validation of the Fractional Order Initialization Technique with a Heat Transfer System

摘要：

The initial conditions and practical initialization problems in Fractional Calculus are addressed in this paper. The initialization technique is based on the fractional integrator concept and its infinite dimension state variable. This technique is applied to initialize the temperature response of a real heat transfer pilot. State estimation of the fractional model is performed by an observer based technique. Comparison with a direct technique demonstrates that estimation of the infinite dimension internal state variable is required for fractional order model initialization.

关键词： Fractional Differential Equation Fractional integrator FDE initial conditions FDE initialization FDE state variables Heat transfer

作者: Trigeassou Jean-Claude Maamri Nezha Benchellal. Amel Oustaloup Alain

作者单位: IMS-LAPS, University of Bordeaux I, 351 Avenue de la Libération, 33405 Talence cedex, France LAII, University of Poitiers, 40 Avenue du Recteur Pineau, 86022 Poitiers cedex, France University of Mostaganem, Algeria

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-5

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）