This paper deals with the control of the temperature in non-isothermal
stirred-tank reactors involving M (M greater-than-or-equal-to 1) chem
ical reactions. The proposed control algorithm is an input-output line
arization controller which accounts for the well-known process nonline
arities. The control scheme is also adaptive in order to deal with the
parameter uncertainty: in particular it is shown how to include expli
cit on-line estimates of the M activation energies within the adaptive
linearizing controller. The performance of the control law is illustr
ated in simulation.