Existence principle of an optimal control for a flexible beam with three turning axles

Author

Xuezhang Hou

Author_Institution

Math. Dept., Towson Univ., Baltimore, MD, USA

fYear

2011

fDate

15-16 Aug. 2011

Firstpage

477

Lastpage

482

Abstract

A flexible robot beam with three turning axles is considered in this paper. An evolution equation corresponding to the beam system formulated by partial differential equations with initial and boundary conditions is established in an appropriate Hilbert space. Based on the results of spectral analysis and semigroup generation of the system operator studied previously, an optimal control of the robot beam system is investigated. Finally, an existence principle of optimal control is proposed and proved.

Keywords

Hilbert spaces; beams (structures); flexible structures; industrial robots; optimal control; partial differential equations; spectral analysis; turning (machining); Hilbert space; evolution equation; flexible robot beam; optimal control existence principle; partial differential equations; semigroup generation; spectral analysis; system operator; Boundary conditions; Eigenvalues and eigenfunctions; Equations; Hilbert space; Optimal control; Robots; Turning; Flexible Robot Beam; Optimal Control; Semigroups of linear operators; Spectral Analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation and Logistics (ICAL), 2011 IEEE International Conference on

Conference_Location

Chongqing

ISSN

2161-8151

Print_ISBN

978-1-4577-0301-0

Electronic_ISBN

2161-8151

Type

conf

DOI

10.1109/ICAL.2011.6024766

Filename

6024766