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 journalArticle

Abstract

© 2018 Elsevier Ltd 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 languageAmerican English
Pages (from-to)177-201
Number of pages25
JournalNonlinear Analysis: Hybrid Systems
DOIs
StatePublished - 1 May 2019
Externally publishedYes

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