A State Observer for Networked Control Systems with Long Delays

In this paper, we consider networked control systems where different channel of the control inputs is with different long time delay. For those unstable and/or poorly damped while observable eigenvalues, we propose a reduced-order state observer design approach. Using the reduced-order state observer to reconstruct the full-order state vector of the original system, we proved that the gamma-stability of the state error dynamics can be guaranteed. Meanwhile, the steady-state tracking of the system is achieved