Reduced Order Modelling and Boundary Feedback Control of Nonlinear Convection

Abstract

A distributed parameter model of a nonlinear two-dimensional convective system is formulated. Proper orthogonal decomposition is used to construct a reduced order state-space model of the system. Open-loop simulations of the full and reduced models are compared to demonstrate the validity of the reduced model. A linear quadratic regulator control problem is formulated for the system under boundary control. Control efiectiveness is demonstrated in reduced and full order simulations.