Robust control analysis of 1D Burgers Equation

In this paper, a novel H_∞ Loop shaping Controller will be used to design in Robust Control for Burgers Equation. For a simplest normal PDEs model, Burgers Equation which is simplified Navier Stokes equations is always a first step to obtain further result in more complex PDEs. Nowadays, people propose different control algorithms on the Burgers Equation problems, but most of them studies in time domain and not consider the frequency. And we present a new robust controller for linearized Burgers Equation. And the Burgers Equation model can be identified from finite element approximation for the PDEs. The proposed method can achieve a better robustness and frequency performance even the strong nonlinear and uncertainty exist in the systems. The simulation results are shown to validate the method is more effective and advanced.