Robust Stability Analysis of Fractional Order Uncertain Polynomials

摘要：

This paper presents a general purpose graphical approach to the stability analysis of fractional order polynomials with various parametric uncertainty structures. The value set of the fractional order uncertain polynomials has been obtained and successfully combined with the well known zero exclusion principle to investigate the robust stability of the polynomials. Six different uncertainty structures are considered to present that the zero exclusion principle is applicable for all the uncertainty structures It is investigated that robust stability of the unstable polynomials can be achieved while values of the fractional orders are changing in a certain interval. The results are illustrated via examples.

关键词： Fractional order uncertain polynomial value set zero exclusion principle robust stability

作者: B. Senol C. Yeroglu

作者单位: Computer Engineering Department, Inonu University,Malatya, Turkey Computer Engineering Department, Inonu University, Malatya, Turkey

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: 1-6

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）