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
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;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.782388
