Abstract
In this paper the H∞ control problem for descriptor systems is considered. This problem can efficiently be solved by specialization of a recent solution of the general quadratic performance control problem to the H∞ case. The solution is given in terms of strict linear matrix inequality (LMI) conditions. Contrary to previous solutions of the descriptor H∞ control problem, these synthesis conditions can easily be evaluated by standard LMI solvers. The presented synthesis result is applied to a S/KS H∞ control problem from binary distillation control. The process model of the underlying separation process is given by means of a phenomenological descriptor model which describes the movement of concentration profiles in rectifying and stripping section of the distillation column.
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