Title :
Existence principle of an optimal control for a flexible beam with three turning axles
Author_Institution :
Math. Dept., Towson Univ., Baltimore, MD, USA
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;
Conference_Titel :
Automation and Logistics (ICAL), 2011 IEEE International Conference on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4577-0301-0
Electronic_ISBN :
2161-8151
DOI :
10.1109/ICAL.2011.6024766
