Robust Output Regulation for Continuous-Time Periodic Systems

Abstract

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A feedforward control law and a discrete-time dynamic error feedback controller for output tracking and disturbance rejection, a robust discrete-time feedback controller, and finally a discrete-time feedback controller that achieves approximate robust output tracking and disturbance rejection. The presented constructions are also new for time-invariant finite and infinite-dimensional systems. The results are illustrated with two examples: A periodically time-dependent system of harmonic oscillators and a nonautonomous two-dimensional heat equation with boundary disturbance.

26 pages, 8 figures, accepted for publication in IEEE Transactions on Automatic Control

References in corpus (3)

• The Internal Model Principle for Systems with Unbounded Control and Observation
• Controller Design for Robust Output Regulation of Regular Linear Systems
• Robust Output Regulation for Continuous-Time Periodic Systems

Cited by in corpus (3)

• Robust Output Regulation for Continuous-Time Periodic Systems
• Approximate robust output regulation of boundary control systems
• Sampled-data Output Regulation of Unstable Well-posed Infinite-dimensional Systems with Constant Reference and Disturbance Signals