Robust output-feedback control for uncertain linear sampled-data systems: A 2D impulsive system approach. (May 2019)

• Record Type: Journal Article
• Authors: Ríos, Héctor; Hetel, Laurentiu; Efimov, Denis
• Is Part Of: Nonlinear analysis. Volume 32(2019)
• Page Start: 177
• Page End: 201
• Publication Date: 2019-05
• Subjects: Observer-based control -- Sampled-data -- Impulsive systems; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.11.005
• Languages: English
• ISSNs: 1751-570X

Abstract

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 2 D 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.