Output Regulation for Impedance Passive Systems with Input Saturation

We consider output tracking and disturbance rejection for abstract infinite-dimensional systems with input saturation.

We solve the control problem using a control law which consists of a stabilising error feedback term and a feedforward term based on the reference and disturbance signals.

We use our results to design control laws for output tracking and disturbance rejection for a two-dimensional heat equation and a one-dimensional wave equation with boundary control and observation.