Title :
H∞ control of descriptor systems with norm-bounded uncertainties in the system matrices
Author :
Rehm, A. ; Allgöwer, F.
Author_Institution :
Inst. fur Systemdynamik und Regelungstech., Stuttgart Univ., Germany
Abstract :
In this paper the H∞ control of high index or even non-regular linear descriptor systems with norm-bounded uncertainties in the system matrices is considered. This setup not only includes the possibility to deal with physical parameter uncertainty but also can be used to describe unknown nonlinearities provided they are bounded. The analysis of these uncertain descriptor systems within the closed loop is based on a quadratic H∞ performance approach. The corresponding analysis result can be re-interpreted in order to also address the controller synthesis problem. The analysis as well as the synthesis result can be stated in form of a parametrized linear matrix inequality
Keywords :
H∞ control; closed loop systems; control system synthesis; linear systems; matrix algebra; uncertain systems; H∞ control; closed loop systems; controller synthesis; linear descriptor systems; linear matrix inequality; parameter uncertainty; uncertainties system; Chemical processes; Control system synthesis; Control systems; Differential algebraic equations; Differential equations; Linear matrix inequalities; Performance analysis; Thermodynamics; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.879164
