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Reducing conservatism in robust stability analysis of fractional-order-polytopic systems
, Article ISA Transactions ; Volume 119 , 2022 , Pages 106-117 ; 00190578 (ISSN) ; Dehghani, M ; Tavazoei, M. S ; Sharif University of Technology
ISA - Instrumentation, Systems, and Automation Society
2022
Abstract
This paper studies the robust stability of the fractional-order (FO) LTI systems with polytopic uncertainty. Generally, the characteristic polynomial of the system dynamic matrix is not an affine function of the uncertain parameters. Consequently, the robust stability of the uncertain system cannot be evaluated by well-known approaches including LMIs or exposed edges theorem. Here, an over-parameterization technique is developed to convert the main characteristic polynomial into a set of local over-parameterized characteristic polynomials (LOPCPs). It is proved that the robust stability of LOPCPs implies the robust stability of the uncertain system. Then, an algorithm is proposed to explore...
Robust Control of an Islanded Microgrid Consisting of Parallel Connection of Multiple DG Units
, M.Sc. Thesis Sharif University of Technology ; Karimi, Houshang (Supervisor)
Abstract
A robust decentralized control strategy for the islanded operation of a microgrid is proposed in this thesis. The microgrid consists of the parallel connection of several electronically-coupled distributed generation (DG) units. All DG units are connected to a point of common coupling (PCC) where a passive load is also connected. It is shown that the islanded microgrid can be modeled by an interconnected composite system comprising equal number of subsystems (to the DGs). Moreover, it is shown that the overall islanded microgrid can be controlled by only the local controllers about the individual subsystems. In this case, one of the DGs, referred to as the Master DG, is responsible for...
Robust D-stabilization analysis of fractional-order control systems with complex and linearly dependent coefficients
, Article IEEE Transactions on Systems, Man, and Cybernetics: Systems ; 2020 ; Fathi Jegarkandi, M ; Sharif University of Technology
Institute of Electrical and Electronics Engineers Inc
2020
Abstract
This article focuses on the robust D-stabilization analysis of fractional-order control systems where each of the system and the controller may be of fractional order. The coefficients of the system are considered as complex linear functions of interval uncertain parameters, so this article deals with fractional-order polytopic systems. First, a necessary and sufficient condition is introduced for the robust D-stabilization of the closed-loop control system based on the zero exclusion condition and the value set concept. Then, the geometric pattern of the value set of the characteristic polynomial is obtained analytically using the exposed vertices. Second, a function is presented to check...
Robust D-stabilization analysis of fractional-order control systems with complex and linearly dependent coefficients
, Article IEEE Transactions on Systems, Man, and Cybernetics: Systems ; Volume 52, Issue 3 , 2022 , Pages 1823-1837 ; 21682216 (ISSN) ; Fathi Jegarkandi, M ; Sharif University of Technology
Institute of Electrical and Electronics Engineers Inc
2022
Abstract
This article focuses on the robust D-stabilization analysis of fractional-order control systems where each of the system and the controller may be of fractional order. The coefficients of the system are considered as complex linear functions of interval uncertain parameters, so this article deals with fractional-order polytopic systems. First, a necessary and sufficient condition is introduced for the robust D-stabilization of the closed-loop control system based on the zero exclusion condition and the value set concept. Then, the geometric pattern of the value set of the characteristic polynomial is obtained analytically using the exposed vertices. Second, a function is presented to check...