Title
Adaptive Uniform Finite-/Fixed-Time Convergent Second-Order Sliding-Mode Control
Abstract
This paper presents an adaptive gain algorithm for second-order sliding-mode control (2-SMC), specifically a super-twisting (STW)-like controller, with uniform finite/fixed convergence time, that is robust to perturbations with unknown bounds. It is shown that a second-order sliding mode is established as exact finite-time convergence to the origin if the adaptive gain does not have the ability to get reduced and converge to a small vicinity of the origin if the adaptation algorithm does not overestimate the control gain. The estimate of fixed convergence time of the studied adaptive STW-like controller is derived based on the Lyapunov analysis. The efficacy of the proposed adaptive algorithm is illustrated in a tutorial example, where the adaptive STW-like controller with uniform finite/fixed convergence time is compared to the adaptive STW controller with non-uniform finite convergence time.
Year
DOI
Venue
2016
10.1080/00207179.2016.1184759
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
Adaptive control, sliding-mode control, fixed-time convergence
Convergence (routing),Fixed time,Lyapunov function,Control theory,Mathematical optimization,Control theory,Adaptive algorithm,Adaptive control,Mathematics,Perturbation (astronomy),Sliding mode control
Journal
Volume
Issue
ISSN
89
9
0020-7179
Citations 
PageRank 
References 
5
0.42
9
Authors
3
Name
Order
Citations
PageRank
Michael V. Basin176157.75
Chandrasekhara B. Panathula2212.93
Yuri B. Shtessel336951.65