Title :
The linear-quadratic optimal regulator of time-invariant discrete singular systems
Author :
Cheng, Zhongyuan ; YAN, JIU DUN ; Zhao, Kai
Author_Institution :
Dept. of Math., Shandong Univ., Jinan
Abstract :
The LQ linear-quadratic problem of multiple-valued time-invariant discrete singular systems is discussed. The equivalence relation between this problem and that of standard state-space systems is given via an artificial feedback approach under some conditions, and the existence and uniqueness of the optimal control-trajectory pair are obtained. The state feedback synthesis of the optimal control is also derived, and the optimal closed-loop system is single-valued and asymptotically stable
Keywords :
closed loop systems; discrete systems; feedback; optimal control; artificial feedback approach; closed-loop system; equivalence relation; linear-quadratic; linear-quadratic optimal regulator; multiple-valued systems; optimal control-trajectory pair; state-space systems; time-invariant discrete singular systems; Artificial intelligence; Control system synthesis; Control systems; Equations; Network synthesis; Optimal control; Power systems; Regulators; State feedback; Symmetric matrices; Transforms;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371573
