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Oscillations in Controlled Processes: Two Experimental Study Cases

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Selected Topics in Dynamics and Control of Chemical and Biological Processes

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 361))

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Abstract

The oscillatory behavior in two controlled processes is presented in this chapter. The two study cases can permit further numerical or analytical research that, on the one hand, allows for an evaluation of new criteria on dynamics of controlled systems and, on the other, leads to new pictures featuring nonlinear (possibly chaotic) dynamics. The former is a feedback-controlled digester which is interconnected with heat exchanger via recycle stream. Oscillations in temperature bioreactor is studied in this case. The process is an anaerobic digestion for distillery vinasses and a heat exchanger. The heat exchanger is basically controlled by a Proportional-Integral-Derivative feedback (PID control) while the bioreactor is controlled by a feedback law with uncertainties compensation. In fact, the first case corresponds to the bioreactor discussed in Part II of this book. The latter is open-loop controlled, and concerns to gas-liquid tide column. Such a gas-liquid column can exhibit three classes of dynamical behavior: bubbling (disperse fluid-flow), vortical-spiral type, and turbulent (three-region) regime. Both processes have recycle streams, and their time series are analyzed exploiting Poincaré maps, maximum Lyapunov exponents and power spectrum density.

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Author information

Authors and Affiliations

  1. Depto. de Matemáticas Aplicadas y Sistemas Computacionales, IPICyT, USA

    R. Femat

  2. Depto. de Ingeniería Química, CUCEI-UdG, USA

    H. O. Méndez-Acosta

  3. Depto. de Ingeniería de Procesos, UAM-Iztapalapa, USA

    J. Álvarez-Ramírez

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  1. R. Femat
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  2. H. O. Méndez-Acosta
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  3. J. Álvarez-Ramírez
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Editor information

Editors and Affiliations

  1. UdG-Department of Chemical Engineering, Camino a la presa San José # 2055 Col. Lomas 4 sección, CP 78126 San Luis Potosí, San Luis Potosí, Mexico

    Hugo Oscar Méndez-Acosta

  2. IPICyT-Department of Applied Mathematics, Camino a la presa San José # 2055 Col. Lomas 4 sección, CP 78126 San Luis Potosí, San Luis Potosí, Mexico

    Hugo Oscar Méndez-Acosta  & Ricardo Femat  & 

  3. UdG-Department of Chemical Engineering, Bvld. Marcelino García Barragán y Calzada Olímpica (s/n), CP 44860, Guadalajara, Jalisco, Mexico

    Victor González-Álvarez

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Femat, R., Méndez-Acosta, H.O., Álvarez-Ramírez, J. (2007). Oscillations in Controlled Processes: Two Experimental Study Cases. In: Oscar Méndez-Acosta, H., Femat, R., González-Álvarez, V. (eds) Selected Topics in Dynamics and Control of Chemical and Biological Processes. Lecture Notes in Control and Information Sciences, vol 361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73188-7_9

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  • DOI: https://doi.org/10.1007/978-3-540-73188-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

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  • Online ISBN: 978-3-540-73188-7

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