自动化学报2017，Vol.43Issue(11)：1993-2002,10.DOI:10.16383/j.aas.2017.c150875
一类采用分数阶PIλ控制器的分数阶系统可镇定性判定准则
Stabilization Criterion for A Class of Interval Fractional-order Systems Using Fractional-order PIλControllers
摘要
Abstract
This study proposes a stabilization criterion for interval fractional-order plants involving one fractional-order term using fractional-order PIλcontrollers. The characteristic function of the closed loop system is divided into the nominal function and disturbance function, and the construction method for the vertices of the value set with respect to the disturbance function is investigated. Moreover, the upper and lower limits of the test frequency interval are offered to determine the position relationship between the origin and the value set corresponding to the closed loop system. By supposing that the vertex functions are not equal to zero within the test frequency interval and the closed loop nominal system is stable, the stabilization criterion for closed loop systems using fractional-order PIλcontrollers is proposed analytically. Finally,stabilization analyses of numerical examples verify the effectiveness of the proposed criterion.关键词
分数阶系统/区间不确定性/可镇定性/值集/分数阶PIλ控制器Key words
Fractional-order systems/interval uncertainties/stabilization/value set/fractional-order PIλcontrollers引用本文复制引用
高哲..一类采用分数阶PIλ控制器的分数阶系统可镇定性判定准则[J].自动化学报,2017,43(11):1993-2002,10.基金项目
国家自然科学基金 (61304094),辽宁省教育厅科学研究一般项目(L2015194, L2015198) 资助 Supported by National Natural Science Foundation of China (61304094),Scientific Research Fund of Liaoning Provincial Ed-ucation Department (L2015194, L2015198) （61304094）
