Title :
On the use of the generalized structured singular value for decentralized control problems
Author :
Tanaka, Takashi ; Langbort, Cédric
Author_Institution :
Dept. of Aerosp. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
Abstract :
We study how the maximum/minimum gain of a decentralized controller influences the maximum/minimum gain of the corresponding closed loop transfer function, and provide lower bounds on the best closed-loop performance achievable by decentralized controllers satisfying additional frequency domain restrictions. These bounds are obtained using generalizations of the structured singular value and approximated by the solution of linear matrix inequalities (LMI). We close by applying our results to an active sound control problem.
Keywords :
closed loop systems; decentralised control; linear matrix inequalities; singular value decomposition; transfer functions; closed loop transfer function; decentralized controller; frequency domain restriction; generalized structured singular value; linear matrix inequalities; maximum gain; minimum gain; Control engineering education; Design methodology; Distributed control; Frequency domain analysis; Linear matrix inequalities; Lyapunov method; Optimal control; Performance analysis; Performance gain; Transfer functions;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400171
