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Output feedback hybrid-impulsive second order sliding mode control: Lyapunov approach

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Author: Shtessel, Y. · Glumineau, A. · Plestan, F. · Weiss, M.
Publisher: IEEE Computer Society
Source:13th IEEE Workshop on Variable Structure Systems, VSS 2014, 29 June-2 July 2014, Nantes, France
Identifier: 516503
doi: doi:10.1109/VSS.2014.6881154
ISBN: 9781479955664
Keywords: Impulse response · Convergence time · Lyapunov approach · Output feedback · Perturbed nonlinear systems · Relative degree two · Relay feedback controls · Second-order sliding-mode control · Feedback · Defence Research · Defence, Safety and Security · Mechanics, Materials and Structures · WS - Weapon Systems · TS - Technical Sciences


A perturbed nonlinear system of relative degree two controlled by output feedbacks discontinuous-hybrid-impulsive control is studied. The output hybrid-impulsive terms serve to drive instantaneously the system's trajectory to the origin or to its small vicinity. The output feedback impulsive action combined with the output relay feedback control guarantees a uniform exact convergence with zero convergence time of system's trajectory to a real 2-SMC in the presence of bounded perturbations. The stability of the considered hybrid-impulsive system is studied using Lyapunov approach. © 2014 IEEE.