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Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems

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  • Aghayan, Zahra Sadat
  • Alfi, Alireza
  • Mousavi, Yashar
  • Kucukdemiral, Ibrahim Beklan
  • Fekih, Afef

Abstract

This paper investigates the stabilization of uncertain neutral-type delay fractional systems. Both static and dynamic output feedback control design methods are proposed. A guaranteed cost-based feedback control design is considered and closed-loop robust stability is investigated using the Lyapunov theorem. Asymptotic stability conditions of the closed-loop system is described in terms of linear matrix inequalities (LMIs). A simulation study, encompassing a numerical example of a fractional order system and a two stage chemical reactor, is considered to assess the performance and validity of the proposed control design.

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  • Aghayan, Zahra Sadat & Alfi, Alireza & Mousavi, Yashar & Kucukdemiral, Ibrahim Beklan & Fekih, Afef, 2022. "Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    • Handle: RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007238
    DOI: 10.1016/j.chaos.2022.112523
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    2. Di, Ying & Zhang, Jin-Xi & Zhang, Xuefeng, 2023. "Robust stabilization of descriptor fractional-order interval systems with uncertain derivative matrices," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    3. Zhang, Xuefeng & Lv, Yuanda & Zhang, Jin-Xi, 2024. "H∞ observer-based controller synthesis for fractional order systems over finite frequency range," Applied Mathematics and Computation, Elsevier, vol. 474(C).

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