Title
Stabilisation Of Perturbed Chains Of Integrators Using Lyapunov-Based Homogeneous Controllers
Abstract
In this paper, we present a Lyapunov-based homogeneous controller for the stabilisation of a perturbed chain of integrators of arbitrary order r >= 1. The proposed controller is based on homogeneous controller for stabilisation of pure chain of integrators. The control of homogeneity degree is also introduced and various controllers are designed using this concept, namely a bounded-controller with minimum amplitude of discontinuous control and a controller with globally fixed-time convergence. The performance of the controller is validated through simulations.
Year
DOI
Venue
2017
10.1080/00207179.2016.1262967
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
High-order sliding-mode control, Lyapunov-based homogeneous controllers, perturbed chain of integrators
Convergence (routing),Lyapunov function,Control theory,Mathematical optimization,Homogeneity (statistics),Control theory,Homogeneous,Integrator,Amplitude,Mathematics
Journal
Volume
Issue
ISSN
90
12
0020-7179
Citations 
PageRank 
References 
2
0.38
16
Authors
4
Name
Order
Citations
PageRank
Mohamed Harmouche11339.86
Salah Laghrouche221523.02
Yacine Chitour324634.41
M. Hamerlain44111.28