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math.OC2024
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…
math.OC2024
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…