Memoryless Delay-adaptive Setpoint Regulation of Linear Systems with Unknown Input Delay

<copy>©2025 EUCAThis paper proposes a setpoint regulation algorithm for linear systems with input delay based on a memoryless delay-adaptive feedback scheme. The scheme provides integral action and is guaranteed to be stable for arbitrarily large bounded time-varying delay so long as the nominal system is open-loop stable. Furthermore, since full-state measurements are required in the proposed control scheme, we suggest an output feedback design based on an Unknown Input Observer.