Robust D-Stability Test of LTI General Fractional Order Control Systems

doi:10.1109/JAS.2020.1003159

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	Robust D-Stability Test of LTI General Fractional Order Control Systems
	Reza Mohsenipour; Xinzhi Liu
刊名	IEEE/CAA Journal of Automatica Sinica
	2020
卷号	7 期号:3 页码:853-864
关键词	Fractional order control system LTI system robust D-stability value set
ISSN号	2329-9266
DOI	10.1109/JAS.2020.1003159
英文摘要	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.
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/42993]
专题	自动化研究所_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.