Abstract
Feedback control of the temperature in the continuously stirred tank reactor (CSTR) will be studied in this paper. The control is achieved by continuously changing the input flow rate in response to the temperature. In particular the effect the control has on the temperature-dependent oscillations will be investigated. The steady-state solutions and emergence of periodic solutions through the Hopf bifurcation will be analyzed both theoretically and numerically. The region into which all trajectories are ultimately drawn will be defined in the phase plane^ as well as the areas in parameter space to which oscillations will be confined. Finally several nonlinear controlling functions are presented which ensure the system does not exhibit oscillations.
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