Title
A Lipschitz continuous sliding mode control for implicit systems
Abstract
In this paper, implicit systems with uncertain input matrix subjected to matched Lipschitz disturbances are considered. For such kind of systems a Lipschitz continuous control, achieving admissible solutions for implicit systems is proposed. The developed methodology consists of two steps. In the first step a stable sliding surface is designed after transforming the original system into a regular like form. Then a first order sliding mode controller through an integrator is designed which will ensure finite-time convergence to the sliding manifold and the exponential convergence to the origin in spite of the presence of Lipschitz disturbances and uncertain input matrix.
Year
DOI
Venue
2022
10.1016/j.ejcon.2022.100661
European Journal of Control
Keywords
DocType
Volume
Implicit systems,Sliding mode control,Sliding surface,Lipschitz continuous control
Journal
67
ISSN
Citations 
PageRank 
0947-3580
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Praveen S. Babu100.34
Debbie Hernandez200.34
Bijnan Bandyopadhyay332848.14
Leonid M. Fridman41999211.93