Effect of saturation structure on finite-time stabilization of nonlinear systems with impulsive disturbance

Shuchen Wu (1) , Xiaodi Li (1) , Emmanuel Moulay (2, 3)

1 Shandong Normal University
2 UP - Université de Poitiers = University of Poitiers
3 XLIM - XLIM

This paper studies the finite-time stabilization (FTS) of nonlinear systems with impulsive disturbance, where the effect of saturation structure on the control input is fully considered. By establishing a potential relationship between saturation structure and impulsive disturbance, some FTS criteria are presented via a class of saturated control input, where estimations of domain of attraction and settling-time are derived. Compared with the control input without saturation structure, the constraints on impulse time sequence are strengthened to guarantee that the saturated control input has an effective stabilizing effect on the system. Based on such constraints, the system subjected to impulsive disturbance can still achieve FTS. Then theoretical results are applied to finite-time synchronization for a class of impulsive dynamical networks. Finally, two examples and their simulations are given to illustrate the effectiveness of the proposed results.

Mots clés: Saturated structure; Finite-time stabilization; Impulsive disturbance; Domain of attraction; Settling-time

Domaines: Optimisation et contrôle [math.OC]; Automatique

Shuchen Wu, Xiaodi Li, Emmanuel Moulay. Effect of saturation structure on finite-time stabilization of nonlinear systems with impulsive disturbance. Applied Mathematical Modelling, 2022, 111, pp.727-738. ⟨10.1016/j.apm.2022.07.018⟩. ⟨hal-03739299⟩