Abstract
Previous work on stabilization of compressor surge is
extended to include control of the angular velocity of the compressor.
First a low order centrifugal compressor model is presented where the
states are mass flow, pressure rise and rotational speed of the spool.
Energy transfer considerations are used to develop a compressor
characteristic. In order to stabilize equilibriums to the left of the
surge line, a close coupled valve is used in series with the
compressor. Controllers for the valve pressure drop and spool speed
are derived. Semi-global exponential stability is proved using a
Lyapunov argument.
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