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理学院2018-2019学年夏季第二周学术报告(6)


学 术 报 告


报告题目:Modelling, Dynamics and Control of Fractional-Order System


报告学者:申永军教授


报告者单位石家庄铁道大学


报告时间2019年7月8日下午,15:30—16:30


报告地点思源东楼306会议室


摘要:As an effective mathematical tool, fractional-order calculus (FOC) is becoming more and more attractive. This presentation provides simple introduction about the origination and development of FOC at first. Then our recent works on FOC are introduced in detail based on three sections. The first section is modelling of two typical devices with viscoelasticity in vibration engineering, i.e. magnetorheological damper and air spring. The nonlinear dynamics of fractional-order Duffing oscillator is studied, and the effects of the fractional-order terms on dynamical properties are analyzed in section 2. Section 3 is focused on two examples of fractional-order control, i.e. fractional-order PID controller in dry-fraction oscillator and fractional-order time delay control in Duffing oscillator. In the end, some open questions and possible developing directions in the future are discussed.


报告人简介:申永军:石家庄铁道大学机械工程系教授。主要研究领域有非线性动力学、振动控制和机械系统故障诊断。分数阶微积分在振动工程中的应用和负刚度器件的研究。1995年获得天津大学机械工程学士学位,2002年获得石家庄铁道大学机械工程硕士学位,2006年获得北京交通大学车辆工程博士学位。曾获得国家自然科学二等奖(2017年)、国家科技进步奖(2003年)等多项重要科学奖。



主办教师:于永光