Linear Matrix Inequality Based Fractional Integral Sliding-Mode Control of Uncertain Fractional-Order Nonlinear Systems

被引：36
|
作者：
Dadras, Sara [1 ]
Dadras, Soodeh [1 ]
Momeni, HamidReza [2 ]
机构：
[1] Utah State Univ, Elect & Comp Engn Dept, Logan, UT 84322 USA
[2] Tarbiat Modares Univ, Elect Engn Dept, Automat & Instruments Lab, POB 14115-143, Tehran 14115, Iran
来源：
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2017年 / 139卷 / 11期
关键词：
fractional-order (FO) system; nonlinear system; uncertain system; fractional sliding-mode manifold; linear matrix inequality (LMI); EXTREMUM SEEKING CONTROL; DELAY SYSTEMS; DESIGN; SYNCHRONIZATION;
D O I：
10.1115/1.4036807
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A design of linear matrix inequality (LMI)-based fractional-order surface for sliding-mode controller of a class of uncertain fractional-order nonlinear systems (FO-NSs) is proposed in this paper. A new switching law is achieved guaranteeing the reachability condition. This control law is established to obtain a sliding-mode controller (SMC) capable of deriving the state trajectories onto the fractional-order integral switching surface and maintain the sliding motion. Using LMIs, a sufficient condition for existence of the sliding surface is derived which ensures the t(-alpha) asymptotical stability on the sliding surface. Through a numerical example, the superior performance of the new fractional-order sliding mode controller is illustrated in comparison with a previously proposed method.
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页数：7
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