Feedback sensitivity functions analysis of finite-time stabilizing control system

D Zimenko (1) , Andrey Polyakov (2, 3) , Denis Efimov (2, 3) , A Kremlev (1)

1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 NON-A - Non-Asymptotic estimation for online systems

This paper presents feedback sensitivity functions analysis of implicit Lyapunov function-based control system in case of finite-time stabilization problem. The Gang of Four is chosen as a feedback sensitivity tool. The results can be used for parametric tuning of control algorithms in order to guarantee desired closed-loop sensitivity specifications. The obtained results are supported by numerical examples.

Mots clés: feedback sensitivity functions; Gang of Four; frequency domain design; finite-time stabi- lization; implicit Lyapunov function

Domaines: Automatique

D Zimenko, Andrey Polyakov, Denis Efimov, A Kremlev. Feedback sensitivity functions analysis of finite-time stabilizing control system. International Journal of Robust and Nonlinear Control, 2016, ⟨10.1002/rnc.3693⟩. ⟨hal-01405766⟩