Title :
Boundary control for the chaotic flow of a thermal convection loop
Author_Institution :
Center for Optimal Design & Control, Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
Abstract :
We consider a control problem for a thermal convection loop. The problem is governed by a nonlinear partial differential equation with boundary control. We establish the well-posedness of the system, discuss finite element approximations and use a “one mode” approximation to design and compare various control strategies. This system is chaotic and we show that approximate linearization provides an effective control law
Keywords :
boundary layers; chaos; finite element analysis; flow control; forced convection; linearisation techniques; nonlinear differential equations; partial differential equations; approximate linearization; boundary control; chaotic flow; finite element approximations; nonlinear partial differential equation; one-mode approximation; thermal convection loop; well-posedness; Acceleration; Chaos; Control systems; Finite element methods; Fluid flow control; Navier-Stokes equations; Optimal control; Temperature dependence; Temperature distribution; Viscosity;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479174
