Title :
H∞ control of descriptor systems: An example from binary distillation control
Author :
Rehm, A. ; Allgower, F.
Author_Institution :
Institut für Systemdynamik und Regelungstechnik, University of Stuttgart, Germany, Pfaffenwaldring 9, D-70550 Stuttgart, Germany
Abstract :
In this paper the Η∞ 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 easily can 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.
Keywords :
Closed loop systems; Distillation equipment; Feeds; Linear matrix inequalities; Mathematical model; Sensitivity; Standards; Descriptor control; Generalized Bounded Real Lemma; Linear matrix inequalities; Mixed sensitivity problem; distillation control;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9