Disturbance estimator based dynamic compensator design for fractional order fuzzy control systems

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Kanakalakshmi S.; Sakthivel R.; Ramya L.Susana; Parivallal A.; Leelamani A.

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ISSN: 2588-4824

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Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:4 Page(s): 79-93

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Title

Disturbance estimator based dynamic compensator design for fractional order fuzzy control systems

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Keywords

Dynamic output feedback designQ2

disturbance estimatorQ2

unknown external disturbancesQ2

fractional order control systemsQ2

Abstract

The robust stabilization problem for singular fractional order time delay T-S fuzzy systems with nonlinearities and unknown external disturbances is addressed in this paper. An equivalent-input-disturbance (EID) estimator is used to estimate the impact of external disturbances and nonlinearities on the system output. Based on this EID approach, a dynamic compensator is designed to solve the stabilization problem of the considered system. Moreover, by considering a relevant Lyapunov-Krasovskii functional candidate and by using Lyapunov technique, the stability conditions in terms of LMIs are acquired for the considered closed-loop system. At last, to validate the effectiveness of the proposed result, two numerical examples are provided.

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APA: Copy

Kanakalakshmi, S., Sakthivel, R., Ramya, L.Susana, Parivallal, A., & Leelamani, A.. (2021). Disturbance estimator based dynamic compensator design for fractional order fuzzy control systems. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(4 ), 79-93. SID. https://sid.ir/paper/413556/en

Vancouver: Copy

Kanakalakshmi S., Sakthivel R., Ramya L.Susana, Parivallal A., Leelamani A.. Disturbance estimator based dynamic compensator design for fractional order fuzzy control systems. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(4 ):79-93. Available from: https://sid.ir/paper/413556/en

IEEE: Copy

S. Kanakalakshmi, R. Sakthivel, L.Susana Ramya, A. Parivallal, and A. Leelamani, “Disturbance estimator based dynamic compensator design for fractional order fuzzy control systems,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 4 , pp. 79–93, 2021, [Online]. Available: https://sid.ir/paper/413556/en

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