Feedback Control of a Nonlinear Propagation System: Numerical Modeling and Implementation

This paper considers the case of a feedback controlled nonlinear propagation system modeled by hyperbolic partial differential equations with nonlinear boundary conditions and the control described by integral equations and synthesized on one boundary - an engineering application which occurs in a control system for heat-energy co-generation. The numerical model is deduced by using a convergent Method of Lines and then the numerical implementation is performed by means of a software-emulated dynamical neural network. Finally, the approximate solutions obtained via numerical simulations are discussed and some concluding remarks are provided.