DocumentCode :
851530
Title :
Formulas on Preview and Delayed 
Control
Author :
Kojima, Akira ; Ishijima, Shintaro
Author_Institution :
Fac. of Syst. Design, Tokyo Metropolitan Univ
Volume :
51
Issue :
12
fYear :
2006
Firstpage :
1920
Lastpage :
1937
Abstract :
A generalized Hinfin control problem, which covers preview and delayed control strategies, is discussed based on a state-space approach. By introducing a Hamiltonian matrix, which is associated with a delay-free generalized plant, the analytic solution to the corresponding operator Riccati equation is newly established. Based on the result obtained here, the Hinfin control problem is solved and, for typical control problems (e.g., Hinfin and linear quadratic (LQ) control for multiple input delay systems, Hinfin preview control), some interpretations are provided on the resulting control system
Keywords :
Hinfin control; Riccati equations; delays; matrix algebra; predictive control; state-space methods; Hamiltonian matrix; delay-free generalized plant; delayed Hinfin control; delayed control strategies; operator Riccati equation; preview control; state-space approach; Control system synthesis; Control systems; Delay effects; Delay systems; Design methodology; Helium; Riccati equations; Size control; State estimation; Sufficient conditions; $H^{infty}$
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2006.886485
Filename :
4026650
Link To Document :
