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.