Fractional-order control with second-order sliding mode algorithm and disturbance estimation for vibration suppression of marine riser |
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| Institution: | 1. Department of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran;2. Department of Mechanical engineering, University of Maryland, Baltimore County, USA;1. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China;2. College of Information Science and Technology, Donghua University, Shanghai 201620, China;1. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China;2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;1. School of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, China;2. School of Control and Computer Engineering, North China Electric Power University, Baoding 071003, China |
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| Abstract: | Suppression of the vibration caused by environmental loads in marine risers is critical to prevent irreparable damages. This paper addresses this issue by proposing a novel boundary control for a flexible riser connected to a vessel at its top. In this regard, initially, a sliding mode observer (SMO)-based disturbance estimator is constructed to estimate the uncertainty of the vessel's dynamics. Next, using backstepping, a suitable virtual control along with the respective error dynamics are derived. A fractional-order error surface is defined to achieve Mittag-Leffler convergence for the control error variable. A second-order sliding mode (SOSM) control law is used to stabilize this error surface. The boundedness and ultimate boundedness of the riser's deflection under the proposed boundary control is shown by Lyapunov analysis. Comparative simulations demonstrate the robust vibration suppression performance of the proposed controller. |
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