非线性动力学模型中的分步式超扭曲/终端滑模协议:在气垫船等混沌系统的应用  

Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model:Applications on Hovercraft/Chaotic Systems

作　　者：Reza Ghasemi Farideh Shahbazi Mahmood Mahmoodi 

机构地区：[1]Department of Engineering,University of Qom,Qom 3716146611,Iran [2]Department of Mathematics,University of Qom,Qom 3716146611,Iran

出　　处：《哈尔滨工程大学学报（英文版）》2023年第3期556-564,共9页Journal of Marine Science and Application

摘　　要：Fractional terminal and super-twisting as two types of fractional sliding mode controller are addressed in the present paper.The proposed methodologies are planned for both the nonlinear fractional-order chaotic systems and the nonlinear factional model of Hovercraft.The suggested procedure guarantees the asymptotic stability of fractional-order chaotic systems based on Lyapunov stability theorem,by presenting a set of fractional-order laws.Compared to the previous studies that concentrate on sliding mode controllers with unwanted chattering phenomena,the proposed methodologies deal with chattering reduction of terminal sliding mode controller/super twisting to converge to desired value in finite time,consequently.The main advantages of the offered controllers are 1)closed-loop system stability,2)robustness against external disturbances and uncertainties,3)finite time zero-convergence of the output tracking error,and 4)chattering phenomena reduction.Finally,the simulation results show the performance of the approaches both on the chaotic and Hovercraft models.

关 键 词：Fractional-order system Super-twisting algorithm Terminal methodology Sliding mode control Stability Nonlinear system HOVERCRAFT 

分 类 号：U674.943[交通运输工程—船舶及航道工程]