Output Regulation for Impedance Passive Systems with Input Saturation

2025/06/19 by Govindaraj, Thavamani, Paunonen, Lassi
#34G20 #93B52 (35K05) #93C05 #93D20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2506.16365

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.

Citations

• Projected integral control of impedance passive nonlinear systems
• Well-Posedness and Stability of Infinite-Dimensional Systems Under Monotone Feedback
• Output regulation of infinite-dimensional nonlinear systems: a forwarding approach for contraction semigroups

Related

• Active Disturbance Rejection for Boundary Control Systems
• Funnel control for passive infinite-dimensional systems
• Well-Posedness and Stability of Infinite-Dimensional Systems Under Monotone Feedback
• Output regulation for an unstable wave equation with output delay and one measurement only
• Stabilization of physical systems via saturated controllers with only partial state measurements