Abstract
This chapter discusses stability and control of stirred tank. It presents the long series of papers that Amundson and his colleagues published under the rubric of “An Analysis of Chemical Reactor Stability and Control.” These are concerned with the stirred tank reactor and its ramifications, so they have their roots in the early work on stability and sensitivity of stirred tank systems. In particular, the limit cycle was established as a feature that could readily be expected and the possibility of having an unstable limit cycle within a stable was raised. The paradoxical conclusion from simple linearized analysis, namely that derivative control of the wrong sign would stabilize the reactor, had to be modified because of of the fact that the slightest delay in its execution would render it unstable. Some of the methods that had worked well with the simpler equations of electrical engineering were tried on the stirred tank by Warden but it was found that the ineluctable nonlinearity of the Arrhenius expressions required almost heroic efforts at polynomial building to obtain regions of stability of any significant size.
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