Finite-Time and Fixed-Time Observers Design via Implicit Lyapunov Function

Francisco Lopez-Ramirez (1) , Andrey Polyakov (2, 1) , Denis Efimov (1, 2) , Wilfrid Perruquetti (2, 1, 3)

1 NON-A - Non-Asymptotic estimation for online systems
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 Centrale Lille

— This paper deals with the problem of finite-time and fixed-time observation of linear multiple input multiple output (MIMO) control systems. The nonlinear dynamic observers , which guarantee convergence of the observer states to the original system state in a finite and a fixed (defined a priori) time, are studied. Algorithms for the observers parameters tuning are also developed. The theoretical results are illustrated by numerical examples.

Domaines: Automatique

Francisco Lopez-Ramirez, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Finite-Time and Fixed-Time Observers Design via Implicit Lyapunov Function. European Control Conference 2016, Jun 2016, Aalborg, Denmark. ⟨hal-01298162⟩