Robust Stabilization of MIMO Systems in Finite/Fixed Time

Andrey Polyakov (1) , Denis Efimov (1) , Wilfrid Perruquetti (2, 1, 3)

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

SUMMARY The control design problem for finite-time and fixed-time stabilization of linear multi-input system with nonlinear uncertainties and disturbances is considered. The control design algorithm based on block decomposition and Implicit Lyapunov Function (ILF) technique is developed. The robustness properties of the obtained control laws with respect to matched and unmatched uncertainties and disturbances are studied. Procedures for tuning of control parameters are presented in the form of Linear Matrix Inequalities (LMI). Aspects of practical implementation of developed algorithms are discussed. Theoretical results are supported by numerical simulations.

Mots clés: Implicit Lyapunov Function; Non-aymptotic stabilization; Homogeneity

Domaines: Automatique

Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Robust Stabilization of MIMO Systems in Finite/Fixed Time. International Journal of Robust and Nonlinear Control, 2015, pp.23. ⟨10.1002/rnc⟩. ⟨hal-01160052⟩