Robust Regulation of Infinite-Dimensional Port-Hamiltonian Systems

Abstract

We will give general sufficient conditions under which a controller achieves robust regulation for a boundary control and observation system. Utilizing these conditions we construct a minimal order robust controller for an arbitrary order impedance passive linear port-Hamiltonian system. The theoretical results are illustrated with a numerical example where we implement a controller for a one-dimensional Euler-Bernoulli beam with boundary controls and boundary observations.

15 pages, 1 figure

References in corpus (2)

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

Cited by in corpus (4)

• On exact controllability of infinite-dimensional linear port-Hamiltonian systems
• Approximate robust output regulation of boundary control systems
• Well-posedness of a class of infinite-dimensional port-Hamiltonian systems with boundary control and observation
• A Lyapunov Approach to Robust Regulation of Distributed Port-Hamiltonian Systems