DocumentCode
342749
Title
Mixed ℋ2/ℒ1 controllers for continuous-time MIMO systems
Author
Amishima, Takeshi ; Sznaier, Mario
Author_Institution
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Volume
5
fYear
1999
fDate
1999
Firstpage
3362
Abstract
We consider the problem of optimizing the ℋ2 norm, while keeping the L1 norms of some other transfer functions under specified levels. We show that the optimal closed-loop impulse responses of transfer functions in the constraints have finite support, and thus non-rational Laplace transforms. To solve the difficulty of implementing non-rational controllers, we propose a method for synthesizing rational controllers with performance arbitrarily close to optimal
Keywords
Laplace transforms; MIMO systems; closed loop systems; continuous time systems; control system synthesis; optimal control; transfer functions; transient response; ℒ1 norms; H2 norm; continuous-time MIMO systems; mixed H2/ℒ1 controllers; nonrational Laplace transforms; nonrational controllers; optimal closed-loop impulse responses; rational controllers; Adaptive control; Atomic measurements; Control system synthesis; Control systems; Laplace equations; MIMO; Optimal control; Optimization methods; Performance analysis; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1999. Proceedings of the 1999
Conference_Location
San Diego, CA
ISSN
0743-1619
Print_ISBN
0-7803-4990-3
Type
conf
DOI
10.1109/ACC.1999.782388
Filename
782388
Link To Document