Title :
Regional flux target with minimum energy
Author :
Zerrik, E. ; Kamal, A. ; Boutoulout, A.
Author_Institution :
MACS Group, Moulay Ismail Univ., Meknes, Morocco
fDate :
7/1/2002 12:00:00 AM
Abstract :
An extension of a gradient controllability problem to the case where the target subregion is a part of the boundary of a parabolic system domain is discussed. A definition and some properties adapted to this case are presented. The focus is on the characterisation of the control achieving a regional boundary gradient target with minimum energy. An approach is developed that leads to a numerical algorithm for the computation of optimal control. Numerical illustrations show the efficiency of the approach and lead to conjectures
Keywords :
controllability; distributed parameter systems; gradient methods; minimisation; numerical analysis; optimal control; gradient controllability problem; minimum energy; numerical algorithm; optimal control; parabolic system domain boundary; regional boundary gradient target; regional flux target; target subregion;
Journal_Title :
Control Theory and Applications, IEE Proceedings -
DOI :
10.1049/ip-cta:20020455