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Jafari P, Teshnehlab M, Tavakoli-Kakhki M. Designing of a Control Approach for Uncertain Fractional Order Systems with Indirect Adaptive Fuzzy Controller and Frational Order Sliding Mode. JoC. 2020; 14 (2) :89-99

URL: http://joc.kntu.ac.ir/article-1-584-en.html

URL: http://joc.kntu.ac.ir/article-1-584-en.html

2- Faculty of Electrical Engineering, K.N. Toosi University of Technology

Todays according to the noticeable growth of the fractional order calculus in engineering sciences, this field has converted to a beloved context for researchers especially Control engineers. There have been designed various fractional order control methods accordingly. Also, it has been proved that adaptive fuzzy controllers are capable of controlling uncertain systems with disturbance if necessary, conditions have been provided. For this reason, in this paper, an indirect adaptive TSK fuzzy controller with fractional order sliding mode control is introduced to control a certain class of nonlinear fractional order systems. The fractional order stability of the closed-loop system is studied and based on a fractional order Lyapunov function candidate; fractional order adaptation laws are obtained. The fractional order adaptation law is proposed to adjust the free parameters in the consequence part of the adaptive TSK system. In addition, a robust adaptive law is proposed to reduce the influence of approximation error between true system functions and TSK fuzzy controller. Hence, using the fractional order Lyapunov theorem, the Mittag-Leffler stability of the closed-loop system is guaranteed. The numerical simulation shows validity and effectiveness of the introduced control strategy for fractional order nonlinear models that perturbed by disturbance and uncertainty.

Type of Article: Research paper |
Subject:
Special

Received: 2018/05/28 | Accepted: 2019/02/21 | Published: 2019/08/15

Received: 2018/05/28 | Accepted: 2019/02/21 | Published: 2019/08/15

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