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Hybrid-impulsive second order sliding mode control: Lyapunov approach

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Author: Shtessel, Y. · Glumineau, A. · Plestan, F. · Weiss, M.
Source:5th IFAC Symposium on System Structure and Control, SSSC 2013, Grenoble, France, 4-6 February 2013, 397-402 (TuAMT3.2)
Identifier: 477632
doi: doi:10.3182/20130204-3-FR-2033.00187
ISBN: 9783902823250
Keywords: Aviation · Hybrid system · Impulsive control · Lyapunov stability · Second order sliding modes · Defence Research · Defence, Safety and Security · Mechatronics, Mechanics & Materials · WS - Weapon Systems · TS - Technical Sciences


A perturbed nonlinear system of relative degree two controlled by discontinuous-impulsive feedbacks is studied. The hybrid-impulsive terms serve to drive instantaneously the system trajectories to the origin or to its small vicinity. In particular, impulsive-twisting control exhibits an uniform exact finite time convergence to the second order sliding mode (2-SMC) with zero convergence time. The stability of the considered hybrid-impulsive system is studied using Lyapunov approach. © 2013 IFAC.