Title :
Singular LQ problem for nonregular descriptor systems
Author :
Zhu, Jiandong ; Ma, Shuping ; Cheng, Zhaolin
Author_Institution :
Dept. of Math., Shandong Univ., Jinan, China
fDate :
7/1/2002 12:00:00 AM
Abstract :
In this paper, a singular linear quadratic (LQ) problem for non-regular descriptor systems is investigated. Under some general conditions, the optimal control and the optimal state of the LQ problem are given. The optimal control is synthesized as state feedback. All the finite eigenvalues of the closed-loop system are located on the left-half complex plane. The state of the closed-loop system has the least free entries
Keywords :
closed loop systems; control system synthesis; eigenvalues and eigenfunctions; linear quadratic control; state feedback; closed-loop system; finite eigenvalues; free entries; left-half complex plane; nonregular descriptor systems; optimal control synthesis; optimal state; singular linear quadratic problem; state feedback; Circuits; Control system synthesis; Eigenvalues and eigenfunctions; Optimal control; Power generation economics; Power system economics; Power systems; Riccati equations; State feedback; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.800652
