2021
DOI: 10.1002/mma.7397
| View full text |Cite
|
Sign up to set email alerts
|

Abstract: In this paper, the robust stability of interval fractional order plants with one time delay controlled by fractional order controllers is investigated in a general form. For robust stability analysis of the closed loop system by the zero exclusion principle, the distance between the origin and the value set of the characteristic function needs to be checked. It is known that the outer vertices of this value set may change at some switching frequencies and the repetitive calculation of these vertices at switchi… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
4
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
6

Relationship

2
4

Authors

Journals

citations
Cited by 8 publications
(4 citation statements)
references
References 39 publications
0
4
0
Order By: Relevance
“…Step 2: Obtain RRB, IRB and CRB and the stability regions by sweeping over 𝜂 ∈ [0, 1] for Δ D r 1 (s) in (21) as stated in Remark 3.…”
Section: Algorithmmentioning
confidence: 99%
See 1 more Smart Citation
“…Step 2: Obtain RRB, IRB and CRB and the stability regions by sweeping over 𝜂 ∈ [0, 1] for Δ D r 1 (s) in (21) as stated in Remark 3.…”
Section: Algorithmmentioning
confidence: 99%
“…The study of fractional-order systems with delays has been the subject of great interest during the last decades. Necessary and sufficient conditions for robust stability analysis of interval fractional-order plants with one time-delay by using general form of fractional-order controllers have been presented in [20,21].…”
Section: Introductionmentioning
confidence: 99%
“…In [23,24], Fractional-Order Proportional Integral Derivative (FOPID) controllers were designed to improve the robustness property of first order in addition to dead time systems. Then, in [25,26], some auxiliary functions have been presented for robust stability analysis of interval fractional order systems having time-delay. Moreover, in [27], a graphical tuning method has been proposed to determine the stabilizing regions of FOPI controllers for fractional systems with time-delays by benefiting from the D-decomposition technique.…”
Section: Introductionmentioning
confidence: 99%
“…By benefiting from the results presented in Tan et al (2009) and Moornani and Haeri (2010b) and fractional-order controllers, the robust stability of an interval fractional-order plant subjected to the parameter uncertainties has been addressed in Gao (2015). Then, inspired by the results of the aforementioned works, in Ghorbani and Tavakoli-Kakhki (2021b), robust stability of interval-delayed fractional-order plants by a general form of linear fractional-order controllers has been investigated.…”
Section: Introductionmentioning
confidence: 99%