Title :
A collection of robust control problems leading to LMIs
Author :
Packard, Andrew ; Zhou, Keliang ; Pandey, Pradeep ; Becker, Greg
Author_Institution :
Dept. of Mech. Eng., California Univ., Berkeley, CA, USA
Abstract :
The authors consider four control-related problems, all of which involve reformulation into linear matrix inequalities (LMIs). The problems are: structured singular value (μ) upper bound synthesis for constant matrix problems; robust-state-feedback problem with quadratic stability criteria for uncertain systems; optimal, constant, block diagonal, similarity scaling for full information and state feedback H∞ problem; and a partial theory for optimal performance in systems which depend on several independent variables
Keywords :
feedback; matrix algebra; optimal control; stability; μ upper bound; constant matrix problems; linear matrix inequalities; optimal constant block diagonal similarity scaling; optimal performance; quadratic stability criteria; robust control problems; robust-state-feedback; state feedback H∞ problem; structured singular value upper bound synthesis; Control system synthesis; Eigenvalues and eigenfunctions; Linear matrix inequalities; Robust control; Robust stability; Stability criteria; State feedback; Symmetric matrices; Uncertain systems; Upper bound;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261577
