Simulation of the Non-Commensurate Fractional Order Systems Based on Haar Wavelet

摘要：

This paper deals with the numerical solution of a class of fractional differential equations (FDEs), where fractional derivatives are described in the Caputo sense. At first, we reduce the FDE into an integral equation. Then we use the generalized Haar wavelet operational matrix to solve the integral equation. The main characteristic of this technique is that it reduces such problems to those of solving a system of algebraic equations thus greatly simplifying the problem. The method can be applied to solve linear non-commensurate fractional differential equations. This method would be helpful for us for the synthesis of feedback controllers.

关键词： Fractional calculus Operational matrix Fractional differential Haar wavelet.

作者: Yuanlu Li Ning sun Huamin Ge Yue Wu

作者单位: College of Information and Control, Nanjing University of Information Science & Technology,Nanjing 2 College of Information and Control, Nanjing University of Information Science & Technology, Nanjing

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）