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C. Lisbôa
Programa de Pós-Graduação em Engenharia Elétrica (PPGEE), Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Rio Grande do Sul
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J. V. Flores
Programa de Pós-Graduação em Engenharia Elétrica (PPGEE), Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Rio Grande do Sul
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L. G. Moreira
Instituto Federal de Educação, Ciência e Tecnologia Sul-rio-grandense (IFSul), Charqueadas, Rio Grande do Sul
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J. M. Gomes da Silva Jr.
Programa de Pós-Graduação em Engenharia Elétrica (PPGEE), Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Rio Grande do Sul
Keywords:
Master-slave synchronization, Event-triggered control, Lur’e systems
Abstract
This work proposes new stability conditions for the master-slave synchronization of nonlinear discrete-time Lur’e systems subject to input saturation via event-triggered control techniques. From the Lyapunov Theory arguments, Finsler’s Lemma and properties of the closed- loop system nonlinearity, sufficient conditions are derived to ensure the regional asymptotic stabilization of the origin of the synchronization error, i.e., to guarantee that the slave trajectories converge to those of the master. Following an emulation-based design, the objective is to determine an appropriate event generator for the closed-loop system. In order to systematically compute the event-triggering mechanism parameters, an optimization problem aiming to reduce the number of events with respect to a time-triggered implementation is proposed. A numerical example is performed to show the effectiveness of the proposed methodology.
