Title :
Method of characteristics based model reduction for control of a counter-current reactor using approximate dynamic programming
Author :
Sudhakar, M. ; Narasimhan, Sriram ; Kaisare, Niket S.
Author_Institution :
Dept. of Chem. Eng., Indian Inst. of Technol., Chennai, Chennai, India
Abstract :
The aim of this paper is to use the method of characteristics (MOC) as a technique to obtain reduced order model for control of a counter-current reactor. The reactor is described by a system of quasi-linear hyperbolic partial differential equations (PDEs). Due to the counter-current operation, the system exhibits characteristic lines with double slopes; the slope of the characteristics have opposing signs. A reduced order model is obtained by using only a limited number of characteristic lines in the time-space plane. An approximation technique is proposed to obtain state variables at each sampling instance. This reduced-order MOC model is used for control in the approximate dynamic programming (ADP) framework for set-point tracking.
Keywords :
chemical reactors; dynamic programming; linear differential equations; partial differential equations; reduced order systems; ADP framework; PDEs; approximation technique; characteristic lines; counter-current reactor control; dynamic programming; method of characteristic based model reduction; quasilinear hyperbolic partial differential equations; reduced-order MOC model; sampling instance; set-point tracking; state variables; time-space plane; Approximation methods; Computational modeling; Equations; Inductors; Load modeling; Mathematical model; Reduced order systems;
Conference_Titel :
Control Conference (ECC), 2013 European
