Title :
Synthesis of optimal feedback for nonlinear control systems
Author :
Balashevich, Natalia V.
Author_Institution :
Inst. of Math., Nat. Acad. of Sci., Minsk, Belarus
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;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237088
