论文信息 - Nonlinear model reduction of reaction systems with multiple time scale dynamics

Nonlinear model reduction of reaction systems with multiple time scale dynamics

We consider a broad class of nonisothermal spatially homogeneous reaction systems that exhibit dynamics in multiple distinct time scales, and address the systematic derivation of reduced order nonlinear models in the individual time scales. The proposed model reduction method is applied to a hydrogen oxidation reaction system.

Prodromos Daoutidis | Nishith Vora

[1] F. Hoppensteadt. Properties of solutions of ordinary differential equations with small parameters , 1971 .

[2] G. Bastin,et al. Reduced order dynamical modelling of reaction systems: A singular perturbation approach , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[3] Hassan K. Khalil,et al. Singular perturbation methods in control : analysis and design , 1986 .

[4] Prodromos Daoutidis,et al. Singular perturbation modeling of nonlinear processes with nonexplicit time-scale multiplicity , 1998 .

[5] R. J. Kee,et al. Chemkin-II : A Fortran Chemical Kinetics Package for the Analysis of Gas Phase Chemical Kinetics , 1991 .

[6] L. Petzold,et al. Model reduction for chemical kinetics: an optimization approach , 1999 .

[7] Prodromos Daoutidis,et al. Singular Perturbation Modeling of Nonlinear Processes with Non Explicit Time-Scale Separation , 1996 .

[8] Ulrich Maas,et al. Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space , 1992 .

[9] M. Mavrovouniotis,et al. Simplification of Mathematical Models of Chemical Reaction Systems. , 1998, Chemical reviews.

[10] S. Lam,et al. The CSP method for simplifying kinetics , 1994 .

[11] Prodromos Daoutidis,et al. Nonlinear model reduction of chemical reaction systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).