Reduced Order Interval Observer for Linear Discrete-Time Systems with 2n States and N Outputs

In this paper we design a reduced order interval observer for the unmeasured variables of a particular class of discrete-time linear system. By ensuring the cooperativity and convergence properties applied to the estimation error, the observer provides an upper and a lower estimate, despite the presence of unknown, bounded inputs and perturbations. The class of systems is composed of systems with 2n states and n linearly independent measurements. A numerical simulation shows applicability of the results.