Synthesis of optimal feedback for nonlinear control systems

Author

Balashevich, Natalia V.

Author_Institution

Inst. of Math., Nat. Acad. of Sci., Minsk, Belarus

Volume

4

fYear

2003

fDate

20-22 Aug. 2003

Firstpage

1255

Abstract

A method of online construction of an optimal feedback control of nonlinear systems with bang-bang optimal control is proposed. The realization of the algorithm of constructing a closed-loop solution is oriented on fast corrections of optimal open-loop control subject to small variations of initial state. To construct a solution to a nonlinear control problem, two procedures are elaborated. At first, piecewise linear approximations for initial nonlinearities of the system are introduced and an optimal control for the approximative problem is computed. Then the defining elements of this control are corrected with the use of asymptotic expansions.

Keywords

approximation theory; bang-bang control; closed loop systems; control system analysis computing; feedback; nonlinear control systems; open loop systems; optimal control; piecewise linear techniques; asymptotic expansions; bang-bang optimal control; closed-loop solution; nonlinear control systems; optimal feedback control; optimal open-loop control; piecewise linear approximations; Control system synthesis; Control systems; Feedback; Mathematics; Nonlinear control systems; Open loop systems; Optimal control; Piecewise linear approximation; Real time systems; Sampling methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics and Control, 2003. Proceedings. 2003 International Conference

Print_ISBN

0-7803-7939-X

Type

conf

DOI

10.1109/PHYCON.2003.1237088

Filename

1237088