Title :
Robust control of quasi-linear parabolic PDE systems
Author :
Christofides, Panagiotis D.
Author_Institution :
Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA
Abstract :
This paper proposes a methodology for the synthesis of nonlinear robust feedback controllers for systems of quasi-linear parabolic partial differential equations with time-varying uncertain variables, for which the eigenspectrum of the spatial differential operator can be partitioned into a finite-dimensional slow one and an infinite-dimensional stable fast complement. The method is successfully applied to a catalytic packed-bed reactor with unknown and time-varying heat of reaction
Keywords :
control system synthesis; distributed parameter systems; eigenvalues and eigenfunctions; feedback; nonlinear control systems; partial differential equations; robust control; time-varying systems; uncertain systems; catalytic packed-bed reactor; eigenspectrum; nonlinear robust feedback controller synthesis; partial differential equations; quasi-linear parabolic PDE systems; spatial differential operator; time-varying uncertain variables; unknown time-varying reaction heat; Adaptive control; Chemical engineering; Control system synthesis; Control systems; Differential equations; Inductors; Partial differential equations; Proportional control; Robust control; Time varying systems;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657589
