Title :
Linear quadratic optimal control of singular nonlinear systems
Author :
Jiandong, Zhu ; Shuqian, Zhu ; Zhaolin, Cheng
Author_Institution :
Dept. of Math., Shandong Univ., Jinan, China
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184247
