On the existence of an optimal synthesis for a class of linear discrete-time systems with quadratic costs and a fixed target point

Author

Tang, Guoqing ; Wang, Zidong

Author_Institution

Dept. of Math., North Carolina A&T State Univ., Greensboro, NC, USA

fYear

1997

fDate

9-11 Mar 1997

Firstpage

12

Lastpage

16

Abstract

We use the dynamic programming and approximation techniques to prove the existence of an optimal synthesis for a class of linear discrete time systems with quadratic costs and a fixed target point, in which the optimal control law is given in the feedback form of time and state. Our result establishes an analogy in synthesizing fixed target point linear quadratic regulator problems between linear continuous time systems and this class of linear discrete time systems

Keywords

cost optimal control; discrete time systems; dynamic programming; feedback; linear quadratic control; linear systems; quadratic programming; approximation techniques; dynamic programming; feedback form; fixed target point; fixed target point linear quadratic regulator problems; linear continuous time systems; linear discrete time systems; optimal control law; optimal synthesis; quadratic costs; Automatic control; Control system synthesis; Cost function; Dynamic programming; Laboratories; Mathematics; Optimal control; Regulators; State feedback; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1997., Proceedings of the Twenty-Ninth Southeastern Symposium on

Conference_Location

Cookeville, TN

ISSN

0094-2898

Print_ISBN

0-8186-7873-9

Type

conf

DOI

10.1109/SSST.1997.581570

Filename

581570