ESTIMATION OF DOMAINS OF ATTRACTION OF IDEAL REACTOR SEPARATOR NETWORKS WITH MASS RECYCLE

LUIS GERONIMO MATALLANA PÉREZ; ANIBAL BLANCO; ALBERTO BANDONI

Santiago de Chile

Congreso; ICCOPT 2010 - The International Conference on Continuous Optimization; 2010

Center for Mathematical Modeling (CMM), FCFM-U. de Chile

The Domain of Attraction (DOA) of an asymptotically stable equilibrium point of a dynamic system is the region of the state space where trajectories that converge to such equilibrium originate. DOAs are complicated sets, which do not admit analytical representation except in special cases. Estimations of the DOAs are relevant in operation of nonlinear dynamic systems and many techniques have been proposed so far. In particular, the Lyapunov stability theory, which provides an energetic approach to dynamic stability analysis, is the basis of a family of techniques whose rationale is to approximate the DOA by a level set of a Lyapunov function of the system under study. In this contribution the rational Lyapunov functions are applied to the estimation of the domains of attraction of different reactor separator networks with mass recycle configuration, which is a simplified typical chemical process. A global optimization based approach is used to solve these problems.