Stabilization of a chain of integrators with an unknown delay in the input by adaptive output feedback

In this note, we consider a stabilization problem of a chain of integrators with an unknown delay in the input. We propose an adaptive output feedback control scheme in which the delay-related low-gain parameter is tuned online by utilizing the integral value of the input norm-bound. Thus, a prior/knowledge on the delay is not required for controller design. Index Terms--Adaptive output feedback, chain of integrators, time-delay systems, unknown delay.