6 papers
Linear Quadratic Regulators: A New Look
Cédric Join, Emmanuel Delaleau, Michel Fliess
Linear time-invariant control systems can be considered as finitely generated modules over the commutative principal ideal ring of linear differential op…
Model-Free Predictive Control: Introductory Algebraic Calculations, and a Comparison with HEOL and ANNs
Cédric Join, Emmanuel Delaleau, Michel Fliess
Model predictive control (MPC) is a popular control engineering practice, but requires a sound knowledge of the model. Model-free predictive control (MFPC), a burning issue today,…
Synchronization of Kuramoto oscillators via HEOL, and a discussion on AI
Emmanuel Delaleau, Cédric Join, Michel Fliess
Artificial neural networks and their applications in deep learning have recently made an incursion into the field of control. Deep learning techniques in control are often related…
The Euler-Lagrange equation and optimal control: Preliminary results
Cédric Join, Emmanuel Delaleau, Michel Fliess
Algebraically speaking, linear time-invariant (LTI) systems can be considered as modules. In this framework, controllability is translated as the freeness of the system module. Opt…
Detection and suppression of epileptiform seizures via model-free control and derivatives in a noisy environment
Cédric Join, D. Blair Jovellar, Emmanuel Delaleau +1
Recent advances in control theory yield closed-loop neurostimulations for suppressing epileptiform seizures. These advances are illustrated by computer experiments which are easy t…
Flatness-based control revisited: The HEOL setting
Cédric Join, Emmanuel Delaleau, Michel Fliess
We present the algebraic foundations of the HEOL setting, which combines flatness-based control and intelligent controllers, two advances in automatic control that have been proven…