© 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.
Ríos, H., Hetel, L., & Efimov, D. (2019). Robust output-feedback control for uncertain linear sampled-data systems: A 2D impulsive system approach. Nonlinear Analysis: Hybrid Systems, 177-201. https://doi.org/10.1016/j.nahs.2018.11.005