Paper Info
Title
Contraction-Based Stabilisation Of Nonlinear Singularly Perturbed Systems And Application To High Gain Feedback
Abstract
Recent development of contraction theory-based analysis has opened the door for inspecting differential behaviour of singularly perturbed systems. In this paper, a contraction theory-based framework is proposed for stabilisation of singularly perturbed systems. The primary objective is to design a feedback controller to achieve bounded tracking error for both standard and non-standard singularly perturbed systems. This framework provides relaxation over traditional quadratic Lyapunov-based method as there is no need to satisfy interconnection conditions during controller design algorithm. Moreover, the stability bound does not depend on smallness of singularly perturbed parameter and robust to additive bounded uncertainties. Combined with high gain scaling, the proposed technique is shown to assure contraction of approximate feedback linearisable systems. These findings extend the class of nonlinear systems which can be made contracting.
Year
DOI
Venue
2017
10.1080/00207179.2016.1221139
INTERNATIONAL JOURNAL OF CONTROL
Keywords
DocType
Volume
Contraction theory, singular perturbation, high gain feedback, approximate feedback linearisable systems, composite controller design
Journal
90
Issue
ISSN
Citations 
8
0020-7179
1
PageRank 
References 
Authors
0.36
0
2
Name
Order
Citations
PageRank
m m rayguru152.85
Indra Narayan Kar26416.75