Title
Sliding Modes in a Class of Complex-Valued Nonlinear Systems
Abstract
A number of physical systems allow a complex-valued representation. This article extends the theory of sliding modes to a class of nonlinear systems described by complex-valued variables. Hence, states, parameters, control actions, and sliding manifolds belong, in general, to the complex field. In this article, it is also shown that the proposed design in the complex-valued framework provides shorter reaching times to the sliding manifold than the standard sliding-mode design at equal initial condition and control effort. Different implementation approaches are also evaluated, and numerical examples illustrate the proposal.
Year
DOI
Venue
2021
10.1109/TAC.2020.3021396
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Complex-valued dynamical systems,sliding modes
Journal
66
Issue
ISSN
Citations 
7
0018-9286
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
Arnau Doria-cerezo15713.10
Josep M. Olm22210.11
Domingo Biel38518.88
Enric Fossas412431.87