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Certified Model Predictive Control for Switched Evolution Equations using Model Order Reduction
Michael Kartmann, Mattia Manucci, Benjamin Unger +1
We present a model predictive control (MPC) framework for linear switched evolution equations arising from a parabolic partial differential equation (PDE). First-order optimality c…
Uniform Approximation of Eigenproblems of a Large-Scale Parameter-Dependent Hermitian Matrix
Mattia Manucci, Emre Mengi, Nicola Guglielmi
We consider the uniform approximation of the smallest eigenvalue of a large parameter-dependent Hermitian matrix by that of a smaller counterpart obtained through projections. The…
Reachable and observable sets for switched systems via generalized Lyapunov equations: application to switched descriptor systems
Mattia Manucci, Benjamin Unger
In a recent work [Manucci, Unger, ArXiv e-print 2404.10511, 2024], the authors propose using two generalized Lyapunov equations (GLEs) to derive a balancing-based model order reduc…
Balancing-based model reduction for switched descriptor systems
Mattia Manucci, Benjamin Unger
We propose a novel projection-based model order reduction (MOR) algorithm for a broad class of switched linear descriptor systems. Our approach integrates the reformulation strateg…