$H^{\\infty }$ Controller Design for Preview and Delayed Systems

Author

Kojima, Akira

Author_Institution

Grad. Sch. of Syst. Design, Tokyo Metropolitan Univ., Hino, Japan

Volume

60

Issue

2

fYear

2015

fDate

Feb. 2015

Firstpage

404

Lastpage

419

Abstract

The H∞ control problem of general preview/delayed systems is solved using analytic solutions of the corresponding operator Riccati equations. The solution to the problem can be applied to a broad range of input/output delayed systems and enables the handling of preview/delayed control problems. The solvability condition is characterized by the roots of the transcendental equations and the control law for the general problem is given based on a predictive compensation with an integro-differential observer. Some interpretations of typical control problems are presented based on the solvability condition and the resulting control law.

Keywords

H^∞ control; compensation; computability; control system synthesis; delays; observers; predictive control; H∞ controller design; Riccati equations; control law; input-output delayed systems; integro-differential observer; predictive compensation; preview system; solvability condition; transcendental equations; Bismuth; Delays; Eigenvalues and eigenfunctions; Output feedback; Riccati equations; Smoothing methods; $H^{infty}$ control; Delayed system; operator Riccati equation; preview control; state-space approach;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2354911

Filename

6892960