Numerical optimal control for bilinear hyperbolic PDEs

Author

Sonawane, Ramdas B. ; Kumar, Ajit ; Nimse, S.B.

Author_Institution

Arts, Com. & Sci. Coll., Nashik, India

fYear

2013

Firstpage

1

Lastpage

5

Abstract

In this paper, we present a successive approximation scheme to solve finite-time optimal control problem for hyperbolic partial differential equations (PDEs) with additive, multiplicative and boundary controls. We propose an iterative scheme for control design. Finite difference scheme is applied to solve the hyperbolic equation. Control problem is solved using conjugate gradient method. A numerical simulation study shows the effectiveness of this approach.

Keywords

bilinear systems; conjugate gradient methods; control system synthesis; hyperbolic equations; iterative methods; optimal control; partial differential equations; additive controls; bilinear hyperbolic PDE; boundary controls; conjugate gradient method; control design; finite difference scheme; finite-time optimal control problem; hyperbolic partial differential equations; iterative scheme; multiplicative controls; numerical optimal control; numerical simulation; successive approximation scheme; Equations; Gradient methods; Mathematical model; Optimal control; Partial differential equations; Propagation; Bilinear systems; Conjugate gradient method; Hyperbolic PDEs; Optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering (NUiCONE), 2013 Nirma University International Conference on

Conference_Location

Ahmedabad

Print_ISBN

978-1-4799-0726-7

Type

conf

DOI

10.1109/NUiCONE.2013.6780203

Filename

6780203