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Robust D-Stability Test of LTI General Fractional Order Control Systems | |
Reza Mohsenipour; Xinzhi Liu | |
发表期刊 | IEEE/CAA Journal of Automatica Sinica |
ISSN | 2329-9266 |
2020 | |
卷号 | 7期号:3页码:853-864 |
摘要 | This work deals with the robust D-stability test of linear time-invariant (LTI) general fractional order control systems in a closed loop where the system and/or the controller may be of fractional order. The concept of general implies that the characteristic equation of the LTI closed loop control system may be of both commensurate and non-commensurate orders, both the coefficients and the orders of the characteristic equation may be nonlinear functions of uncertain parameters, and the coefficients may be complex numbers. Some new specific areas for the roots of the characteristic equation are found so that they reduce the computational burden of testing the robust D-stability. Based on the value set of the characteristic equation, a necessary and sufficient condition for testing the robust D-stability of these systems is derived. Moreover, in the case that the coefficients are linear functions of the uncertain parameters and the orders do not have any uncertainties, the condition is adjusted for further computational burden reduction. Various numerical examples are given to illustrate the merits of the achieved theorems. |
关键词 | Fractional order control system LTI system robust D-stability value set |
DOI | 10.1109/JAS.2020.1003159 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/42993 |
专题 | 学术期刊_IEEE/CAA Journal of Automatica Sinica |
推荐引用方式 GB/T 7714 | Reza Mohsenipour,Xinzhi Liu. Robust D-Stability Test of LTI General Fractional Order Control Systems[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(3):853-864. |
APA | Reza Mohsenipour,&Xinzhi Liu.(2020).Robust D-Stability Test of LTI General Fractional Order Control Systems.IEEE/CAA Journal of Automatica Sinica,7(3),853-864. |
MLA | Reza Mohsenipour,et al."Robust D-Stability Test of LTI General Fractional Order Control Systems".IEEE/CAA Journal of Automatica Sinica 7.3(2020):853-864. |
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