Stabilization of a Class of Uncertain Nonlinear System via Fractional Sliding Mode Controller

被引：2
|
作者：
Guo, Yuxiang [1 ]
Ma, Baoli [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
来源：
PROCEEDINGS OF 2016 CHINESE INTELLIGENT SYSTEMS CONFERENCE, VOL I | 2016年 / 404卷
关键词：
Caputo derivative; Integer-order dynamical systems; Fractional sliding manifold; Stable;
D O I：
10.1007/978-981-10-2338-5_34
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, a novel fractional sliding mode control scheme is suggested to stabilize a second-order uncertain nonlinear system. The proposed sliding manifolds, which will converge to the origin in finite time by utilizing a classical quadratic Lyapunov function, ensures the reduction of the chattering phenomenon during the control process. Based on Lyapunov's stability theorem, the closed-loop system can be stabilized to the origin in the future time. Some results about the control and stabilization of such nonlinear systems, when the fractional sliding mode controller is used, are illustrated in this paper. Finally, an example with numerical simulations is provided to show the validity and feasibility of the proposed method.
引用
收藏
页码：345 / 355
页数：11
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