Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty
Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty
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DOI：
10.1016/j.cnsns.2011.04.032
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发表时间：
2012-01-01
影响因子：
3.9
通讯作者：
Momeni, Hamid Reza
中科院分区：
文献类型：
--
作者：
Dadras, Sara;Momeni, Hamid Reza
针对一类具有不确定性的动态系统，提出了一种将分数阶微积分与终端滑模控制相结合的新型控制策略——分数阶终端滑模控制。提出了一种分数阶切换流形，并基于李雅普诺夫稳定性理论建立了相应的控制律以保证系统的滑动条件。所提出的分数阶末端滑模控制器保证了闭环系统的有限时间稳定性。最后给出了数值仿真结果，并对其进行了比较，验证了所提方法的有效性。(C) 2011 Elsevier B.V.版权所有
A novel type of control strategy combining the fractional calculus with terminal sliding mode control called fractional terminal sliding mode control is introduced for a class of dynamical systems subject to uncertainties. A fractional-order switching manifold is proposed and the corresponding control law is formulated based on the Lyapunov stability theory to guarantee the sliding condition. The proposed fractional-order terminal sliding mode controller ensures the finite time stability of the closed-loop system. Finally, numerical simulation results are presented and compared to illustrate the effectiveness of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.