BIFURCATION-ANALYSIS AND STABILITY OF A CONTROLLED CSTR

We develop the stability and bifurcation analysis of controlled CSTR i n the presence of a nuth order exothermal reaction. Theoretical bounds for the stability region are obtained in terms of the control paramet ers and bifurcation diagrams in the region of instability are discusse d in order to illustrate the transition to chaotic behaviour. The anal ysis presented is based on the Pellegrini-Biardi model of control, but is equivalent to the more usual coolant flowrate control scheme in mi xed reactors. In order to represent a more reliable physical situation , the influence of time delay on the control rule is discussed and a g lobally stable adaptive control proposed.