Control of non-isothermal chemical reaction networks using irreversible port-Hamiltonian systems

In this work irreversible port-Hamiltonian systems are used to derive a passivity based controller which shapes the total energy of a non-isothermal reaction network and renders it asymptotically stable with respect to a desired dynamic equilibrium configuration. The closed-loop system is in IPHS form, hence it can be identified with a desired reaction network and the control parameters are related with thermodynamic variables, such as the reaction rates. A complex reaction network is used to illustrate the approach: the van der Vusse reaction mechanism.