Output regulation of two-time-scale hyperbolic PDE systems

This paper addresses the output regulation of flow systems described by a c lass of two-time-scale nonlinear PDE systems. Within the framework of singu lar perturbation, the reduced-order slow model comprised of first-order PDE s coupled with ODEs is obtained. Based on the numerical approximation techn ique and the solvability of an inertial manifold, the finite-dimensional no nlinear model with nonlinear input is developed in this paper. Extending fr om the geometric control method, the non-distributed nonlinear controller c an be synthesized. A combination of the state-space internal model control scheme, the reduced observer-based controller can asymptotically attenuate the effect of external disturbances. Finally, the developed methodologies a re successfully applied to the development of a PFR system asscociated with the cooling coil apparatus. (C) 2001 Elsevier Science Ltd. All rights rese rved.