A new fractional-order sliding mode controller via a nonlinear disturbance observer for a class of dynamical systems with mismatched disturbances |
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| Affiliation: | 1. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, PR China;2. School of Automation, Southeast University, Nanjing 210096, PR China;1. Department of Electronics and Instrumentation Engineering, Jayaram College of Engineering and Technology, Tiruchirappalli 621014, Tamil Nadu, India;2. Department of Electrical and Electronics Engineering, College of Engineering, Anna University, Guindy, Chennai 600025, Tamil Nadu, India;3. Department of Instrumentation and Control Engineering, National Institute of Technology, Tiruchirappalli, Tamil Nadu, India;1. Laboratoire de Conception et Conduite des Systèmes de Production, University Mouloud Mammeri, Tizi-Ouzou, Algeria;2. Department of Electrical & Computer Engineering, University of Sharjah, United Arab Emirates;3. Distinguished Adjoint Professor at Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, Jeddah, Saudi Arabia;4. ECS-Lab, ENSEA, 6 avenue du Ponceau, 95014 Cergy-Pontoise, France;1. School of Automation, Northwestern Polytechnical University, 127 West Youyi Road, Xi’an 710072, China;2. Department of Earth and Space Science and Engineering, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada |
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| Abstract: | This paper investigates the stabilization and disturbance rejection for a class of fractional-order nonlinear dynamical systems with mismatched disturbances. To fulfill this purpose a new fractional-order sliding mode control (FOSMC) based on a nonlinear disturbance observer is proposed. In order to design the suitable fractional-order sliding mode controller, a proper switching surface is introduced. Afterward, by using the sliding mode theory and Lyapunov stability theory, a robust fractional-order control law via a nonlinear disturbance observer is proposed to assure the existence of the sliding motion in finite time. The proposed fractional-order sliding mode controller exposes better control performance, ensures fast and robust stability of the closed-loop system, eliminates the disturbances and diminishes the chattering problem. Finally, the effectiveness of the proposed fractional-order controller is depicted via numerical simulation results of practical example and is compared with some other controllers. |
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| Keywords: | Sliding mode control Disturbance observer Fractional calculus Lyapunov stability theory Fractional-order mismatched uncertain systems |
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