Independent of delay stabilization using implicit Lyapunov function method

Konstantin Zimenko (1) , Denis Efimov (2) , Andrey Polyakov (2) , Artem Kremlev (1)

1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
2 VALSE - Finite-time control and estimation for distributed systems

Nonlinear implicit Lyapunov function based control algorithms with delay in control and/or measurement channel are presented. The proposed control algorithms provide global asymptotic stability for all delays less than a certain threshold value and global asymptotic stability with respect to a compact set containing the origin for any delay over the threshold value. The algorithms are also applicable for the fast-varying delay and sampled-data cases. The theoretical results are supported by numerical simulations and comparison.

Domaines: Automatique / Robotique

Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. Independent of delay stabilization using implicit Lyapunov function method. Automatica, 2019, 101, pp.103-110. ⟨10.1016/j.automatica.2018.11.051⟩. ⟨hal-02418531⟩