Observers for switching discrete-time linear systems with Unknown Inputs and unknown switching sequence

摘要

This paper focuses on the design of new observers for Discrete-Time Switching Systems with Unknown Inputs (UI). The particularity of the present paper in comparison with the existing works from the literature is to consider the switching sequence as totally unknown. After, stating some assumptions, a first state observer is proposed in the noise-free case. Then, based on this former one, another state observer is proposed for systems perturbed by bounded noises. In both cases, results on the observer convergence are given. Finally, an example illustrates the theoretical contributions.