Title :
Mixed L1/H2 controllers for continuous time systems
Author :
Amishima, Takeshi ; Bu, Juanyu ; Sznaier, Mario
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
We consider the problem of minimizing the L1 norm of a closed-loop transfer function while keeping its H2 norm under at a specified level. It is shown that the optimal closed-loop impulse response has finite support, and thus a non-rational Laplace transform. To solve this difficulty we propose a method for synthesizing rational controllers with performance arbitrarily close to optimal
Keywords :
Laplace transforms; closed loop systems; continuous time systems; control system synthesis; minimisation; transfer functions; transient response; H2 norm; L1 norm; closed-loop transfer function; continuous time systems; mixed L1/H2 controllers; nonrational Laplace transform; optimal closed-loop impulse response; rational controllers; Continuous time systems; Control systems; Interpolation; Lagrangian functions; Laplace equations; MIMO; Optimal control;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.694750
