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

Héctor Ríos (1) , Laurentiu Hetel (2) , Denis Efimov (3)

1 CONACYT - Consejo Nacional de Ciencia y Tecnología [Mexico]
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 VALSE - Finite-time control and estimation for distributed systems

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.

Mots clés: Impulsive systems; Observer-based Control; Sampled-Data

Domaines: Automatique / Robotique

Héctor Ríos, Laurentiu Hetel, Denis Efimov. Robust output-feedback control for uncertain linear sampled-data systems: A 2D impulsive system approach. Nonlinear Analysis: Hybrid Systems, 2019, 32, pp.177-201. ⟨10.1016/j.nahs.2018.11.005⟩. ⟨hal-01954885⟩