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Title: Robust regulator for nonminimum phase systems by Lyapunov Redesign
Author: Pisarchik, A.N.
Jaimes-Reategui, R.
Sevilla-Escoboza, R.
Huerta-Cuellar, G.
Taki, M.
Issue Date: 2011
Abstract: Clear evidence of rogue waves in a multistable system is revealed by experiments with an erbium-doped fiber laser driven by harmonic pump modulation. The mechanism for the rogue wave formation lies in the interplay of stochastic processes with multistable deterministic dynamics. Low-frequency noise applied to a diode pump current induces rare jumps to coexisting subharmonic states with high-amplitude pulses perceived as rogue waves. The probability of these events depends on the noise filtered frequency and grows up when the noise amplitude increases. The probability distribution of spike amplitudes confirms the rogue wave character of the observed phenomenon. The results of numerical simulations are in good agreement with experiments. " 2011 American Physical Society.",,,,,,"10.1103/PhysRevLett.107.274101",,,"","",,,,,,"27",,"Physical Review Letters",,,,"107",,"Scopus
WOS",,,,,,,,,,,,"Rogue waves in a multistable system",,"Article" "46084","123456789/35008",,,,"López González, Silvia Patricia",,"2001",,,,,,,,,,"1405-1451","",,,"Español",,,,"2",,"Revista Jurídica Jalisciense",,"231-244",,"11",,"CLASE",,,,,,,,"Gobierno",,,,"Hacia una justicia penal para menores infractores",,"journalArticle" "46092","123456789/35008",,"Galicia, M.I., Centro de Investigación y de Estudios Avanzados Del IPN, Guadalajara, Mexico; Loukianov, A.G., Centro de Investigación y de Estudios Avanzados Del IPN, Guadalajara, Mexico; Rivera, J., CUCEI, Universidad de Guadalajara, Mexico",,"Galicia, M.I.
Loukianov, A.G.
Rivera, J.",,"2012",,"In this paper we present a robust sliding mode (SM) controller for nonlinear non minimum phase systems with unmatched perturbations. Based on Regulation and Lyapunov Redesign concepts we design a suitable sliding manifold. On this manifold the perturbed dynamics are stable, namely they remain bounded whereas the output tracking error goes to zero in spite of the presence of perturbations. To enforce the SM motion on the designed manifold a super-twisting SM algorithm is used. The effectiveness of the proposed methodology is verified via a simple example. " 2012 TSI Press.
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