Output Regulation for Impedance Passive Systems with Input Saturation
Thavamani Govindaraj, Lassi Paunonen

TL;DR
This paper develops a control strategy for infinite-dimensional systems with input saturation, enabling output tracking and disturbance rejection, demonstrated on heat and wave equations with boundary control.
Contribution
It introduces a novel control law combining stabilizing feedback and feedforward components for systems with input saturation.
Findings
Effective control laws for heat and wave equations with boundary control.
Successful output tracking and disturbance rejection demonstrated.
Applicable to a range of infinite-dimensional systems.
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.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Control and Stability of Dynamical Systems · Stability and Control of Uncertain Systems
