Robust output-feedback control for uncertain linear sampled-data systems: A 2D impulsive system approach

Héctor Ríos, Laurentiu Hetel, Denis Efimov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper deals with the sampled-data control problem based on state estimation for uncertain linear sampled-data systems. It is possible to show that the sampled-data control problem based on state estimation may be related with the conditions for the exponential stability of impulsive systems. Thus, a vector Lyapunov function-based approach, derived by means of a 2D time domain equivalence, is used for obtaining stability conditions of an impulsive system, and then, a solution to the observer-based control design problem is derived and expressed in terms of linear matrix inequalities. Some examples illustrate the feasibility of the proposed approach.

Original languageEnglish
Pages (from-to)177-201
Number of pages25
JournalNonlinear Analysis: Hybrid Systems
Volume32
DOIs
StatePublished - May 2019

Bibliographical note

Funding Information:
H. Ríos gratefully acknowledges the financial support from CONACYT, Mexico270504. This work was supported in part by Conseil Region Nord-Pas de Calais (ESTIREZ), France, the Government of Russian Federation (Grant 074-U01), the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031), and ANR ROCC-SYS, France (ANR-14-CE27-0008).

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

  • Impulsive systems
  • Observer-based control
  • Sampled-data

Fingerprint

Dive into the research topics of 'Robust output-feedback control for uncertain linear sampled-data systems: A 2D impulsive system approach'. Together they form a unique fingerprint.

Cite this