Optimal design of sensors and actuators by E. Zuazua

On Thursday September 8, 2022 our Head Prof. Enrique Zuazua will talk on “Optimal Design of sensors and actuators “ as invited speaker at the Workshop Analysis and Control of (bi)linear PDEs from September 7th to 9th, 2022 organized by the Department of Mathematics at Università di Roma “Tor Vergata”.

In this lecture we shall present some recent results in collaboration with B. Geshkovski (MIT) on the design of optimal sensors and actuators for control systems. We shall mainly focus in the finite-dimensional case, using the Brunovsky normal form. This allows to reformulate the problem in a purely matricial context, which permits rewriting the problem as a minimization problem of the norm of
the inverse of a change of basis matrix, and allows us to stipulate the existence of minimizers, as well as non-uniqueness due to an invariance of the cost with respect to orthogonal transformations.

We will present several numerical experiments to both visualize these artifacts and also point out towards further directions and open problems, in particular in the context of PDE infinite-dimensional models.

WHERE

On-site: Via della Ricerca Scientifica 1, 00133 Roma

Registration and information at: Program, Book of Abstract of the event

Check all details at the official page of the event