Title
Optimal Sliding Mode Robust Control for Fractional-Order Systems with Application to Permanent Magnet Synchronous Motor Tracking Control
Abstract
This paper presents an optimal sliding mode output tracking control scheme for a class of fractional-order uncertain systems. Firstly, an augmented fractional-order system, composed of the original system and the external system, is constructed to transform the optimal output tracking issue into the design problem of linear quadratic regulator. The optimal tracking control problem for the nominal augmented fractional-order system is then studied. Secondly, the fractional-integral sliding mode controller is introduced to robustify the augmented fractional-order system, which satisfy the matching conditions. As a result, the original system output can track the external system output trajectory effectively even the uncertainties exist. Finally, the developed design techniques are applied to the tracking control of fractional-order permanent magnet synchronous motor. The simulation results demonstrate the validity of this approach.
Year
DOI
Venue
2017
10.1007/s10957-015-0827-4
J. Optimization Theory and Applications
Keywords
Field
DocType
Fractional-order, Linear quadratic regulator, Sliding mode control, Permanent magnet synchronous motor, 49J15, 93C10
Control theory,Control theory,Uncertain systems,Robust control,Linear-quadratic regulator,Mathematics,Trajectory,Sliding mode control,Permanent magnet synchronous motor
Journal
Volume
Issue
ISSN
174
1
1573-2878
Citations 
PageRank 
References 
1
0.38
8
Authors
4
Name
Order
Citations
PageRank
Yong-Hong Lan1647.45
liangliang wang210.38
caixue chen310.38
Lei Ding414226.77