no code implementations • 10 Nov 2023 • Flora Vernerey, Pierre Riedinger, Jamal Daafouz
The primary objective of this paper is to demonstrate that problems related to stability and robust control in the harmonic context can be effectively addressed by formulating them as semidefinite optimization problems, invoking the concept of infinite-dimensional Toeplitz Block LMIs (TBLMIs).
no code implementations • 28 Sep 2023 • Flora Vernerey, Pierre Riedinger, Andrea Iannelli, Jamal Daafouz
This method is based on harmonic modeling and consists in converting any LTP system into an equivalent LTI system with infinite dimension.
no code implementations • 13 Jul 2023 • Maxime Grosso, Pierre Riedinger, Jamal Daafouz, Serge Pierfederici, Hicham Janati-Idrissi, Blaise Lapôtre
In this paper, we propose a harmonic-model based control approach for the three-phase grid-tied AC-DC converter.
no code implementations • 15 Mar 2023 • Flora Vernerey, Pierre Riedinger, Jamal Daafouz
This paper focuses on the resolution of infinite-dimensional Toeplitz Block LMIs, which are frequently encountered in the context of stability analysis and control design problems formulated in the harmonic framework.
no code implementations • 13 Oct 2022 • Sifeddine Benahmed, Romain Postoyan, Mathieu Granzotto, Lucian Buşoniu, Jamal Daafouz, Dragan Nešić
We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost.
no code implementations • 18 Mar 2022 • Pierre Riedinger, Jamal Daafouz
This spectral study allows us to propose a generic and numerically efficient algorithm to solve infinite-dimensional harmonic algebraic Lyapunov equations up to an arbitrary small error.
no code implementations • 17 Mar 2022 • Pierre Riedinger, Jamal Daafouz
In this paper, we propose a method to design state feedback harmonic control laws that assign the closed loop poles of a linear harmonic model to some desired locations.
