Reduced-order energy shaping control of large-scale linear port-Hamiltonian systems

Abstract: In this talk, we present a reduced-order energy shaping control approach tailored for large-scale linear port-Hamiltonian systems, such as those arising from distributed parameter models and networked structures. We introduce dynamic controllers designed using both low-dimensional models and reduced-order models obtained through modal truncation, ensuring asymptotic stability by leveraging structural invariants. Special attention is given to shape control applications, where equilibrium points are parametrized through controller parameters, allowing optimization of the closed-loop configuration accuracy. Additionally, we discuss stability margins that link reduced-order model properties to transient performance. Practical implementation is illustrated through dynamic shape control of a Mindlin plate, demonstrating the effectiveness of the proposed methodology. The talk is based on a joint work with Cristobal Ponce (AC3E, Chile) and Yann Le Gorrec (FEMTO-ST, France).

mathematical physicsanalysis of PDEsdifferential geometrydynamical systemsfunctional analysisnumerical analysisoptimization and controlspectral theory

Audience: researchers in the discipline

Port-Hamiltonian Seminar

Series comments: Slides and recordings can be found here: uni-wuppertal.sciebo.de/s/CQfBsXr9iOI17ZY