Estimation of Domains of Attraction of Chemical and Biochemical Reactors

LUIS GERONIMO MATALLANA PÉREZ; ANIBAL BLANCO; ALBERTO BANDONI

Buenos Aires, Argentina

Congreso; 24th IFIP TC7 Conference on System Modelling and Optimization; 2009

IFIP TC 7

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 in general complicated sets, which does not admit analytical representation except in special cases. Estimations of the DOAs are usually desired for the proper analysis and operation of nonlinear dynamic systems and many techniques have been proposed so far to address their characterization (Genesio et al., 1985). In particular, the Lyapunov stability theory (Khalil, 1996), 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.