Stabilization of sampled-data nonlinear systems via backstepping on their Euler approximate model

Two integrator backstepping designs are presented for digitally controlled continuous-time plants in special form. The controller designs are based on the Euler approximate discrete-time model of the plant and the obtained control algorithms are novel. The two control laws yield, respectively, semig...

Full description

Saved in:
Bibliographic Details
Published in:Automatica (Oxford) 2006-10, Vol.42 (10), p.1801-1808
Main Authors: Nešić, D., Teel, A.R.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Disturbances
Exact sciences and technology
Networked control systems
Nonlinear
Stability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Two integrator backstepping designs are presented for digitally controlled continuous-time plants in special form. The controller designs are based on the Euler approximate discrete-time model of the plant and the obtained control algorithms are novel. The two control laws yield, respectively, semiglobal-practical stabilization and global asymptotic stabilization of the Euler model. Both designs achieve semiglobal-practical stabilization (in the sampling period that is regarded as a design parameter) of the closed-loop sampled-data system. A simulation example illustrates that the obtained controllers may sometimes be superior to backstepping controllers based on the continuous-time plant model that are implemented digitally.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2006.05.015