Feedforward Control Design for the Inviscid Burger Equation using Formal Power Series and Summation Methods

摘要

This article presents a flatness-based approach to the trajectory planning and feedforward control problem for the inviscid Burger equation with and without an additional quadratic nonlinearity. It uses the property of formal power series parameterizability of the underlying partial differential equation and uniform Euler-summability of the resulting power series to derive a parameterization of the system state and the system input in terms of a flat output. The article thereby extends the application of the formal power series approach from parabolic to first-order hyperbolic distributed-parameter systems.