TY - JOUR

T1 - Output regulation of self-oscillating biosystems

T2 - Model-based proportional-integral/proportional-integral-derivative (PI/PID) control approaches

AU - Wu, Wei

AU - Chang, Haw Yuan

PY - 2007/6/6

Y1 - 2007/6/6

N2 - The output regulation design of two bioreactor systems in the presence of self-oscillating behavior and inlet disturbances is addressed. By virtue of linearization, transformation, tuning parametrization, and some geometric control techniques, explicit formulations of nonlinear proportional-integral (PI) and proportional-integral-derivative (PID) controllers are obtained. For the prescribed second-order nonlinear system, the model-based PI controller connected to a linear transformation-based observer is developed. For the general class of third-order nonlinear systems, a PID-type feed-forward/feed- back controller that is connected to parametrized tracking modes is constructed. Using the numerical approximation for the reconstruction of equilibrium manifold, the simplified model-based PID control can be easily implemented. Finally, closed-loop simulations show the satisfactory output regulation performances.

AB - The output regulation design of two bioreactor systems in the presence of self-oscillating behavior and inlet disturbances is addressed. By virtue of linearization, transformation, tuning parametrization, and some geometric control techniques, explicit formulations of nonlinear proportional-integral (PI) and proportional-integral-derivative (PID) controllers are obtained. For the prescribed second-order nonlinear system, the model-based PI controller connected to a linear transformation-based observer is developed. For the general class of third-order nonlinear systems, a PID-type feed-forward/feed- back controller that is connected to parametrized tracking modes is constructed. Using the numerical approximation for the reconstruction of equilibrium manifold, the simplified model-based PID control can be easily implemented. Finally, closed-loop simulations show the satisfactory output regulation performances.

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U2 - 10.1021/ie061314j

DO - 10.1021/ie061314j

M3 - Article

AN - SCOPUS:34250841128

VL - 46

SP - 4282

EP - 4288

JO - Industrial and Engineering Chemistry Research

JF - Industrial and Engineering Chemistry Research

SN - 0888-5885

IS - 12

ER -