DocumentCode :
2659209
Title :
Optimal control for a class of affine nonlinear systems: an improved successive approximation approach
Author :
Liang, Sun ; Mingqu, Fan
Author_Institution :
Center for Control & Optimization, South China Univ. of Technol., Guangzhou
fYear :
2008
fDate :
16-18 July 2008
Firstpage :
490
Lastpage :
494
Abstract :
This paper considers an optimal control for a class of affine nonlinear systems with respect to linear quadratic functional. An improved successive approximation approach is proposed. By introducing the successive approximation approach of the nonlinear differential equation theory, a linear two-point boundary value problem sequence is constructed to approximate the nonlinear two-point boundary value problem that is the necessary condition of the nonlinear control problem. A technique is employed to make sure the constructed linear two-point boundary value problems of the approximating sequence homogeneous. Iteratively solving this approximating sequence, optimal control law of linear closed-loop feedback form is designed. An algorithm is presented to design certain approximate optimal control law by truncating the infinite iteration. An illustrative example shows the validity of the algorithm.
Keywords :
approximation theory; boundary-value problems; closed loop systems; control system synthesis; feedback; iterative methods; nonlinear control systems; nonlinear differential equations; optimal control; affine nonlinear systems; linear closed-loop feedback form; linear quadratic functional; linear two-point boundary value problem sequence; nonlinear control problem; nonlinear differential equation; optimal control; successive approximation approach; Automatic control; Automation; Boundary value problems; Educational institutions; Information technology; Iterative algorithms; Nonlinear systems; Optimal control; Riccati equations; Sun; Affine nonlinear; Nonlinear systems; Optimal control; Successive approximation approach;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
Type :
conf
DOI :
10.1109/CHICC.2008.4605096
Filename :
4605096
Link To Document :
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