Output Regulation for Impedance Passive Systems with Input Saturation
arXiv:2506.16365 · doi:10.1137/25M1770382
The paper develops a control strategy for infinite‑dimensional systems that are impedance passive and have input saturation, enabling accurate output tracking and disturbance rejection, and demonstrates the method on heat and wave equations with boundary control.
Abstract
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.
26 pages, 3 figures. Minor revision, final author submitted version. Published in SIAM Journal on Control and Optimization