Authors: André Shigueo Yamashita, Bruno Faccini Santoro, Márcio André Fernandes Martins, Darci Odloak
A state space model for integrating and open-loop unstable systems is presented. The novel representation decomposes stable, unstable and integrating modes of the system, which in turn leads to the development of an infinite horizon MPC (IHMPC) for unstable systems. Equality constraints enforce that the system states corresponding to the integrating and unstable dynamics are zeroed whenever it is feasible. In this work, the control of a nonlinear CSTR with cooling jacket undergoing an exothermic irreversible reaction at an unstable steady state has been studied. The simulated results showed that the proposed IHMPC is capable of sustaining the system at its unstable steady state, rejecting unmeasured input disturbances and driving the system to a different steady state.