Linear quadratic optimal control of singular nonlinear systems

Author

Jiandong, Zhu ; Shuqian, Zhu ; Zhaolin, Cheng

Author_Institution

Dept. of Math., Shandong Univ., Jinan, China

Volume

3

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

2698

Abstract

In this paper, the linear quadratic optimal control problem of singular nonlinear systems is considered. The weight matrix of control is not assumed nonsingular. Under some conditions, the problem is equivalently transformed into the optimal control problem of standard state space systems. Some sufficient conditions solving the optimal control problem are given. The optimal control can be synthesized as state feedback and the closed-loop system has a unique state trajectory with the given initial value.

Keywords

closed loop systems; control system synthesis; initial value problems; linear quadratic control; matrix algebra; nonlinear control systems; state feedback; state-space methods; IVP; LQ control; closed-loop system; control synthesis; initial value problem; linear quadratic optimal control; singular nonlinear systems; standard state space systems; state feedback; state trajectory; weight matrix; Control system synthesis; Cost function; Linear systems; Mathematics; Nonlinear systems; Optimal control; State feedback; State-space methods; Sufficient conditions; Weight control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184247

Filename

1184247