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Journal Articles European Journal of Control Year : 2015

Event-based controller synthesis by bounding methods


Two event-triggered algorithms for digital implementation of a continuous-time stabilizing controller are proposed in this work. The first algorithm updates the control value in order to keep the time evolution of a given Lyapunov-like function framed between two auxiliary functions; whereas the second one actualizes the control value so that the state trajectory of the system stays enclosed between two a priori defined templates. In both cases, a natural hybrid formulation of the event-based stabilizing control problem is used to prove the main results of this work. Furthermore, the existence of a minimum inter-event time greater than zero is proved. Numerical simulations are provided to illustrate the digital implementation of the event-sampling algorithms for nonlinear systems.
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hal-01235617 , version 1 (30-11-2015)



Nacim Meslem, Christophe Prieur. Event-based controller synthesis by bounding methods. European Journal of Control, 2015, 26, pp.12-21. ⟨10.1016/j.ejcon.2015.09.004⟩. ⟨hal-01235617⟩
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