Title
Co-design of state-dependent switching law and control scheme for variable-order fractional nonlinear switched systems
Abstract
This paper deals with the stabilization problem for non-smooth variable-order Riemann-Liouville fractional switched systems with all modes unstable in the presence of unknown nonlinearity. A controller containing the discontinuous switching item and Riemann-Liouville fractional-order derivative term is firstly designed. By applying fractional order calculation, non-smooth analysis theory and Lyapunov stability theory, some criteria are established under the joint design of controller and state-dependent switching law. An application to variable-order fractional switched permanent magnet synchronous motors is demonstrated and relevant numerical simulations for considered system are given to verify the validity of our designed scheme. (C) 2021 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2022
10.1016/j.amc.2021.126725
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Variable-order switched systems, State-dependent switching law, Unknown nonlinearity, Unstable modes, Filippov solution
Journal
415
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Xiao Peng100.34
Yijing Wang2349.28
Zhiqiang Zuo300.34