Bifurcations and Chaos Appearing in a Periodically Controlled CSTR

Bifurcations of periodic states in a CSTR subject to a periodic control which are caused by changes in the parameter values contained in the control input are investigated on the basis of the bifurcation theory. Principles which give a classification of basic possible bifurcations are briefly surveyed. Then a numerical example in which the period and switching ratio of a bang-bang periodic control are changed is worked. Most of the basic possible bifurcations appear. The chaotic phenomena are also observed and the structure of the strange attractor corresponding to a chaotic state is analysed in some detail,