标题：QUANTITATIVE ANALYSIS OF SINGULARITIES FOR FRACTIONAL ORDER SYSTEMS
作者：Li, Yan; Chen, YangQuan
作者机构：[Li, Yan] Shandong Univ, Sch Control Sci & Engn, Jing Shi Rd 17923, Jinan 250061, Shandong, Peoples R China.; [Chen, YangQuan] Univ Calif Merced, Sc 更多
会议名称：ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
会议日期：AUG 02-05, 2015
来源：INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2015, VOL 9
摘要：The singularity is an intrinsic property for various fractional order systems. This paper focuses on the time domain analysis of typical "non-proper" fractional order transfer functions, which plays the crucial role in the implementation, stability and control of fractional order systems. To this end, the fractional order system is converted into a weak singularity integro-differential equation, where the non-proper property can be clearly presented. A practical strategy is shown to find out the poles in the first Riemann plane, which is especially applicable to small commensurate order problems. The distributed order and order sensitivity problems are discussed as well. A number of examples are illustrated by using some reliable fractional order numerical methods.