Receding Horizon Control With Numerical Solution for Nonlinear Parabolic Partial Differential Equations

Author

Hashimoto, Toshikazu ; Yoshioka, Yoshio ; Ohtsuka, Toshiyuki

Author_Institution

Dept. of Syst. Innovation, Osaka Univ., Toyonaka, Japan

Volume

58

Issue

3

fYear

2013

fDate

Mar-13

Firstpage

725

Lastpage

730

Abstract

The optimal control of nonlinear partial differential equations (PDEs) is an open problem with applications that include fluid, thermal, biological, and chemical systems. Receding horizon control is a kind of optimal feedback control, and its performance index has a moving initial time and a moving terminal time. In this study, we develop a design method of receding horizon control for systems described by nonlinear parabolic PDEs. The objective of this study is to develop a novel algorithm for numerically solving the receding horizon control problem for nonlinear parabolic PDEs. The effectiveness of the proposed method is verified by numerical simulations.

Keywords

feedback; nonlinear differential equations; numerical analysis; optimal control; parabolic equations; partial differential equations; biological system; chemical system; fluid system; moving initial time; moving terminal time; nonlinear parabolic PDE; nonlinear parabolic partial differential equations; numerical simulation; numerical solution; optimal feedback control; performance index; receding horizon control design method; thermal system; Boundary conditions; Equations; Mathematical model; Optimal control; Optimization; Performance analysis; Computational algorithm; distributed systems; nonlinear systems; optimal control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2208318

Filename

6238304