Title :
On control problems for some advection-reaction-diffusion systems
Author :
Glowinski, R. ; He, J.W.
Author_Institution :
Dept. of Math., Houston Univ., TX, USA
Abstract :
The present article is concerned with the Neumann boundary control of systems modeled by parabolic equations of advection-reaction-diffusion type with a particular emphasis on systems which are unstable if uncontrolled. To solve these problems we use a combination of finite difference methods for the time discretization, finite element methods for the space discretization and conjugate gradient algorithms for the iterative solution of the discrete control problems. We then apply the above methodology to the solution of test problems in two-dimensions, including problems related to nonlinear models
Keywords :
conjugate gradient methods; diffusion; discrete time systems; distributed parameter systems; finite difference time-domain analysis; finite element analysis; nonlinear systems; parabolic equations; Neumann boundary control; advection-reaction-diffusion systems; conjugate gradient algorithms; discrete control; finite difference methods; finite element methods; iterative method; nonlinear models; parabolic equations; space discretization; time discretization; Control system synthesis; Control systems; Finite difference methods; Finite element methods; Mathematical model; Mathematics; Nonlinear control systems; Nonlinear equations; Optimal control; Steady-state;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577225
