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:: Volume 6, Issue 1 (1-2020) ::
JNSEE 2020, 6(1): 85-103 Back to browse issues page
Fractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances
Mehdi Dalir, Nooshin Bigdeli
Department of Electrical Engineering, Faculty of Technical and Engineering, Imam- Khomeini International University, Qazvin , N.Bigdeli@eng.ikiu.ac.ir
Abstract:   (5019 Views)

In this paper, a fractional-order robust adaptive intelligent controller (FRAIC) is designed for a class of chaotic fractional order systems with uncertainty, external disturbances and unknown time-varying input time delay. The time delay is considered both constant and time varying. Due to changes in the equilibrium point, adaptive control is used to update the system's momentary information and the intelligent controller is used to estimate the uncertainties and disturbances and non-linearities of the system according to the momentary information obtained. The sliding mode control, which provides closed loop asymptotic stability in the system despite the uncertainties and disturbances, is used as a robust controller. Using the Lyapunov theorem and Barbalat's Lemma, the asymptotic stability of a chaotic fractional order system with input delay and uncertainty as well as external disturbance is proved by designed controller. Finally, using the simulation results of financial as well as supply and demand systems, the performance of designed controller would be examined.

Keywords: Chaos, time-varying delay, Input time delay Lyapunov method, Adaptive control, Robust control, Intelligent control.
Full-Text [PDF 1737 kb]   (1139 Downloads)    
Type of Study: Research | Subject: Nonlinear Control
Received: 2018/06/17 | Accepted: 2019/07/20 | Published: 2020/01/22
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Dalir M, Bigdeli N. Fractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances. JNSEE. 2020; 6 (1) :85-103
URL: http://jnsee.sut.ac.ir/jnsee/article-1-194-en.html


Volume 6, Issue 1 (1-2020) Back to browse issues page
سامانه های غیرخطی در مهندسی برق Journal of Nonlinear Systems in Electrical Engineering
نشریه سامانه‌های غیرخطی در مهندسی برق در خصوص اصول اخلاقی انتشار مقاله، از توصیه‌های «کمیته بین‌المللی اخلاق نشر» موسوم به COPE و «منشور و موازین اخلاق پژوهش» مصوب معاونت پژوهش و فناوری وزارت علوم، تحقیقات و فناوری تبعیت می‌کند.
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