自动化学报2012，Vol.38Issue(2)：175-182,8.DOI:10.3724/SP.J.1004.2012.00175
区间分数阶系统的鲁棒稳定性判别准则:0＜α＜1情况
Robust Stability Criteria for Interval Fractional-order Systems: The 0 ＜ α ＜ 1 Case
摘要
Abstract
This paper presents a robust stability theorem like the Kharitonov theorem for interval fractional-order systems with commensurate order between 0 and 1. The condition that the origin is not contained in the value set of the principle branch function of denominator function in an interval fractional-order system is studied. The vertex and edge conditions for interval fractional-order systems are proposed based on the zero exclusion principle. Some matrices depending on parameters of the denominator function are defined and the edge conditions are tested by checking whether eigenvalues of each matrix lie on the negative real axis. Finally, two numerical examples are analyzed to illustrate the effectiveness of the proposed method.关键词
分数阶系统/区间不确定性/鲁棒稳定性/值集Key words
Fractional-order system/ interval uncertainty/ robust stability/ value set引用本文复制引用
高哲,廖晓钟..区间分数阶系统的鲁棒稳定性判别准则:0＜α＜1情况[J].自动化学报,2012,38(2):175-182,8.基金项目
国家自然科学基金(10872030)资助 （10872030）
