Title :
H∞ control of differential algebraic equation systems: the linearizing change of variables approach revisited
Author :
Rehm, A. ; Allgöwer, F.
Author_Institution :
Inst. fur Systemdynamik und Regelungstechnik, Stuttgart Univ., Germany
Abstract :
In this paper control of high index or even nonregular linear differential-algebraic-equation systems subject to H∞ performance constraints is considered. In a previous paper (Rehm and Allgower, 2000) this problem was addressed by a linearizing change of variables approach under a certain assumption on the structure of the algebraic equations within the system description. This restriction is overcome in the paper at hand. By means of a modified linearizing change of variables approach to the H∞ control problem, the synthesis conditions (given as linear matrix inequalities (LMIs)) not only become structurally simpler, but, in contrast to Rehm and Allgower, 2000, also include the case without algebraic constraints
Keywords :
H∞ control; differential equations; singular optimal control; H∞ control; differential algebraic equation systems; linear differential-algebraic-equation; linear matrix inequalities; synthesis conditions; Chemical processes; Control system synthesis; Control systems; Differential algebraic equations; Differential equations; Linear matrix inequalities; Reactive power; State-space methods; Steady-state; Thermodynamics;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946355
