Observer-Based Boundary Control for 2d Burgers Equation

Abstract

The 2D Burgers equation has extensively been considered as a benchmark problem by flow control researchers. The flavour of the problem is its multidimensionality and non-linearity, which are the reasons for making the governing equation a good start for developing a well defined understanding of control of flows. This paper demonstrates that an infinite dimensional observer can be designed, and by the aid of the observer, a simple boundary feedback control can be achieved under severe noise and disturbance scenarios. The results are in good compliance with the theoretical claims.