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Observer-based boundary control for 2D Burgers equation

TOBB University of Economics and Technology, Department of Electrical and Electronics Engineering, Ankara, Turkey, onderefe{at}ieee.org

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.

Key Words: boundary control • Burgers equation • infinite dimensional observer

Transactions of the Institute of Measurement and Control, Vol. 28, No. 2, 177-185 (2006)
DOI: 10.1191/0142331206tm166oa


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