Fuzzy boundary control of 2D Burgers Equation with an observer

Abstract

Fuzzy boundary control of 2D Burgers Equation is considered in this paper. The Burgers equation has extensively been considered as a benchmark problem by flow control researchers. The flavor of the problem is its multidimensionality and nonlinearity, which are the reasons 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 fuzzy boundary feedback control can be achieved under severe noise and disturbance scenarios. The results are in good compliance with the theoretical claims and the simplicity of the controller is another prominent feature.