Title
A new robust observer-based sliding-mode control design for uncertain discrete systems with time-varying delay and subject to Hölder nonlinearities
Abstract
In this paper, we design a new robust Observer-based Discrete-Time Sliding Mode Control for an uncertain linear discrete-time delay system. The considered system is subject to time-varying states delay, unmatched Unknown and norm-Bounded UBB parametric uncertainties, external disturbances and nonlinearities which are assumed to satisfy a Hölder condition. A new delay-dependent sufficient conditions guaranteeing the robust asymptotic stability of the closed-loop system is derived in terms of Linear Matrix Inequalities. With respect to these conditions, a new discrete-time sliding mode control law is designed based on a novel observer structure and a new sliding surface. A numerical example is presented to illustrate the efficiency of our proposed approach.
Year
DOI
Venue
2019
10.1109/SYSTOL.2019.8864784
2019 4th Conference on Control and Fault Tolerant Systems (SysTol)
Keywords
Field
DocType
robust observer-based sliding-mode control design,uncertain discrete systems,time-varying delay,Hölder nonlinearities,uncertain linear discrete-time delay system,time-varying states,Hölder condition,delay-dependent sufficient conditions,robust asymptotic stability,closed-loop system,observer structure,robust observer-based discrete-time sliding mode control
Control theory,Matrix (mathematics),Computer science,Symmetric matrix,Exponential stability,Parametric statistics,Hölder condition,Observer (quantum physics),Sliding mode control
Conference
ISSN
ISBN
Citations 
2162-1195
978-1-7281-0381-5
0
PageRank 
References 
Authors
0.34
3
4
Name
Order
Citations
PageRank
Sonia Ghrab100.34
Sofiane Ahmed Ali200.34
Nicolas Langlois32612.61
Hassani Messaoud473.48