Title :
A generalized solution of H∞ control problems for preview and delayed systems
Author_Institution :
Faculty of System Design, Tokyo Metropolitan University, Asahigaoka 6-6, Hino-city, 191-0065, Japan
Abstract :
For a broad class of H∞ preview/delayed control problems, a solvability condition is newly established based on an analytic solution of operator Riccati equation. The condition is characterized by maximal eigenvalue of a compact operator and enables us to overcome the limitation of existing methods. An H∞ control law is also clarified and some interpretation is provided based on the property of the analytic solution. Employing the advantage of proposed approach, a design method of H2 control law is derived for the preview/delayed systems.
Keywords :
Delay effects; Delay systems; Design methodology; Eigenvalues and eigenfunctions; Generators; Riccati equations;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL, USA
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160678