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

Héctor Ríos; Laurentiu Hetel; Denis Efimov

doi:10.1016/j.nahs.2018.11.005

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 journal › Article › peer-review

4 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 language	English
Pages (from-to)	177-201
Number of pages	25
Journal	Nonlinear Analysis: Hybrid Systems
Volume	32
DOIs	https://doi.org/10.1016/j.nahs.2018.11.005
State	Published - 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

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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.",

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AU - Efimov, Denis

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AB - 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.

KW - Impulsive systems

KW - Observer-based control

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JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

ER -

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

Abstract

Bibliographical note

Keywords

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