State Feedback Stabilization of Linear Systems with Unknown Input Time Delay

This paper investigates the control problem of linear systems affected by an unknownconstant input delay by means of a finite-dimensional state feedback. The proposed solutionextends an approach used in the case of known delays by means of a suitably developed delayidentifier. A more general result about the convergence to zero of the controlled system whenthe delay estimation error only converges to some neighborhood of zero is provided. Numericalexamples show the effectiveness of the proposed approach.