Observer Design for Continuous-Discrete Time State Affine Systems up to Output Injection

Abstract

By continuous-discrete time affine systems, we mean continuous dynamical systems with discrete-time output measurements. The observability of this class of systems depends on the system inputs and on the output sampling time. In this context,we give sufficient conditions on both output sampling time and system input, which allow to preserve the observability of the system and consequently, guarantee the convergence of the continuous- discrete time observer synthesized in this paper. In order to validate the theoretical results, the performance of the proposed observer is illustrated through an example dealing with biomass growth and bio-synthesis reactions.