Title :
State feedback synthesis for on-line optimization in the presence of measurable disturbances
Author :
Rahman, A.K.M.S. ; Palanki, Srinivas
Author_Institution :
Dept. of Chem. Eng., FAMU/FSU Coll. of Eng., Tallahassee, FL, USA
Abstract :
In this paper, state feedback laws are developed for online optimization of batch reactors in the presence of measurable disturbances. Pontryagin´s minimum principle is used to derive the first order necessary conditions of optimality. Then the optimal state feedback laws are derived by eliminating the adjoint variables from the first order necessary conditions. System Lie brackets are defined to express the developed state feedback laws in a compact form. It is found that depending on the degree of singularity of manipulated input the state feedback laws are either static or dynamic. Finally, the efficacy of the online methodology is illustrated through a series reaction occurring in a semi-batch reactor where the objective is to maximize a product by manipulating batch temperature in presence of disturbance in the flow rate of the reactant
Keywords :
Lie algebras; batch processing (industrial); chemical technology; control system synthesis; minimum principle; process control; state feedback; Pontryagin´s minimum principle; adjoint variables elimination; batch reactors; batch temperature manipulation; first-order optimality conditions; measurable disturbances; online optimization; optimal state feedback laws; product maximization; reactant flow rate disturbance; semi-batch reactor; series reaction; state feedback synthesis; system Lie brackets; Chemical engineering; Equations; Inductors; Manipulator dynamics; Nonlinear systems; Optimal control; Performance analysis; State feedback; Steady-state; Trajectory;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532720
