Title :
Control synthesis with dynamic integral quadratic constraints-LMI approach
Author :
Kao, Chung-Yao ; Ravuri, Muralidhar ; Megretski, Alexandre
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
Abstract :
In this paper, we consider the control synthesis problem when the disturbance input w is within a set defined by several dynamic integral quadratic constraints (IQC). We show that the condition on the existence of a stabilizing controller can be expressed as a set of linear matrix inequalities (LMI). We also show that the stabilizing controllers, if they exist, have the dimension no larger than the sum of the dimension of the open-loop system and the multipliers in IQC
Keywords :
control system synthesis; matrix algebra; stability criteria; IQC; LMI approach; control synthesis; dynamic integral quadratic constraints; linear matrix inequalities; stabilizing controller; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Fourier transforms; Laboratories; Linear matrix inequalities; Open loop systems; Output feedback; Robust control; Strain control;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912067