Title :
Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains
Author :
Armaou, Antonios ; Christofides, Panagiotis D.
Author_Institution :
Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA
Abstract :
Proposes a methodology for the synthesis of nonlinear finite-dimensional time-varying output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains. The method is successfully applied to a typical diffusion reaction process whose spatial domain changes with time and is shown to outperform a controller design method which does not account for the variation of the spatial domain
Keywords :
control system synthesis; distributed parameter systems; feedback; multidimensional systems; nonlinear control systems; partial differential equations; time-varying systems; controller design method; diffusion reaction process; nonlinear finite-dimensional time-varying output feedback controllers; parabolic PDE systems; quasi-linear parabolic partial differential equations; time-dependent spatial domains; Control system synthesis; Control systems; Design methodology; Eigenvalues and eigenfunctions; Feedback control; Moment methods; Nonlinear control systems; Output feedback; Stability; Time varying systems;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.703092