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:: Volume 8, Issue 2 (3-2022) ::
2022, 8(2): 63-80 Back to browse issues page
Design of a new adaptive dual position controller based on barrier function and its application in synchronization of high-order nonlinear systems
Javad Mostafaee * , Hossein Norouzi , Hassan Keshavarz Ziarani , Mansoor Hemmati
Department of Electrical Education, Amirkabir Vocational School of Abyek, Qazvin, Iran. , javadmostafaee1982@gmail.com
Abstract:   (2658 Views)
In this paper, a new adaptive controller based on the barrier function is designed for high-order nonlinear systems with uncertainties in mind. Accordingly, this paper uses a sliding mode controller that can simultaneously create asymptotic convergence and deal with perturbations. The main problems controlling the slip mode can be considered asymptotic convergence, umbrella phenomenon, stimulus saturation, control gain estimation and failure to deal with time-varying uncertainties. In this paper, the terminal slip mode controller is used to deal with the phenomenon of asymptotic convergence and umbrella and the barrier function is used to overcome the uncertainties of time variable. The advantages of the proposed method include the elimination of the Chattering phenomenon, convergence in finite time, compatibility with time-varying uncertainties, no use of estimates and no need for information on the high limit of perturbations. Stability analysis shows that in the proposed controller, the tracking errors approach the convergence region in the zero range and provide faster convergence. Finally, to prove the efficiency of the controller, based on the chaos synchronization theory, we apply the proposed controller to a new 5D hyperchaotic system. The results show that the proposed controller, despite the disturbances applied to the system, provides rapid convergence and eliminates the umbrella phenomenon.
Article number: 4
Keywords: Barrier function adaptive finite-time sliding mode controller, Chattering phenomenon, New hyperchaotic system, hyperchaotic synchronization, finite-time convergence.
Full-Text [PDF 2127 kb]   (585 Downloads)    
Type of Study: Research | Subject: Nonlinear Control
Received: 2022/01/17 | Accepted: 2022/05/7 | Published: 2022/11/25
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Mostafaee J, Norouzi H, Keshavarz Ziarani H, Hemmati M. Design of a new adaptive dual position controller based on barrier function and its application in synchronization of high-order nonlinear systems. Nonlinear Systems in Electrical Engineering 2022; 8 (2) : 4
URL: http://journals.sut.ac.ir/jnsee/article-1-399-en.html


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Volume 8, Issue 2 (3-2022) 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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