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Extended differential balancing based model reduction for structure preservation

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If you have a question about this talk, please contact Fulvio Forni .

In this talk, we develop extended balancing techniques for linear and nonlinear systems with the aim to have methods for control that preserve additional structure, such as a port-Hamiltonian system structure. The nonlinear methods are developed in the contraction framework. We use the dissipativity framework to introduce the concept of the extended differential observability and the inverse of the extended differential controllability Gramians, and we show the relation with generalised balancing. We then use these for model reduction to get a smaller apriori error bound in comparison with other types of balancing. We show the utilisation of these methods for structure preserving model reduction of port-Hamiltonian systems.

The seminar will be held in the JDB Seminar Room, Department of Engineering, and online (zoom): https://us06web.zoom.us/j/87986687566?pwd=MGJScmMwd2lwT0tVMHNmWmxSa05XZz09

This talk is part of the CUED Control Group Seminars series.

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https://ukri.zoom.us/j/97192560202; BAS Seminar Room 330b Faculty of Education, 184 Hills Road, Cambridge, room 2S5 Recital Room, Faculty of Music

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