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Title: Oscillations in controlled processes: Two experimental study cases
Author: Femat, R.
Mendez-Acosta, H.O.
Alvarez-Ramirez, J.
Issue Date: 2007
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 Poincar� maps, maximum Lyapunov exponents and power spectrum density. � 2007 Springer-Verlag Berlin Heidelberg.
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