Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s)

Author

Zhou, Jing ; Wang, Qian

Author_Institution

Mech. Eng., Penn State Univ., University Park, PA, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

4050

Lastpage

4055

Abstract

This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay system can be used to model delayed actuation, where the system depends on the input after various (could be more than one) time delays. We provide explicit forms of the finite horizon closed-loop optimal control laws. Numerical examples are also provided to show the performance of our derived control laws.

Keywords

closed loop systems; delays; discrete time systems; linear quadratic control; linear systems; numerical analysis; time-varying systems; closed-loop optimal control laws; finite horizon linear quadratic regulation; linear discrete time-varying systems; multiple input delay; single delay; time delays; Bismuth; Control systems; Delay effects; Delay systems; Digital control; Mechanical engineering; Networked control systems; Optimal control; Stability; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400563

Filename

5400563