Structure Preserving $H_\infty$ Control for Port-Hamiltonian Systems

Tobias Breiten; Attila Karsai

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arXiv · 2206.08706

Structure Preserving $H_\infty$ Control for Port-Hamiltonian Systems

Tobias Breiten·Attila Karsai

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Abstract

We study $H_\infty$ control design for linear time-invariant port-Hamiltonian systems. By a modification of the two central algebraic Riccati equations, we ensure that the resulting controller will be port-Hamiltonian. Using these modified equations, we proceed to show that a corresponding balanced truncation approach preserves port-Hamiltonian structure. We illustrate the theoretical findings using numerical examples and observe that the chosen representation of the port-Hamiltonian system can have an influence on the approximation qualities of the reduced order model.

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Tobias Breiten, Attila Karsai. 2022-06-17. Structure Preserving $H_\infty$ Control for Port-Hamiltonian Systems. https://arxiv.org/abs/2206.08706

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