Accession Number : AD0693109

Title :   OPTIMAL CONTROL PROFILE SPECIFICATION FOR BOUNDARY VALUE SYSTEMS.

Descriptive Note : Themis optimization research program (Final),

Corporate Author : TEXAS A AND M UNIV COLLEGE STATION DEPT OF CHEMICAL ENGINEERING

Personal Author(s) : Baldwin,J. T. ; Durbin,L. D.

Report Date : AUG 1969

Pagination or Media Count : 49

Abstract : The specification of the space-wise control profile to maximize a performance index for a distributed second order system with boundary conditions is achieved by reduction to a first order system with inequality constraints as terminal conditions and the application of a maximum principle formulation. Computation of the temperature profile to maximize intermediate product yield in a reactor with axial mixing is illustrated. Modified methods based upon the gradient of the Hamiltonian have been found to be highly effective for making successive approximations to the control profile. (Author)

Descriptors :   (*CONTROL SYSTEMS, CHEMICAL ENGINEERING), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), NONLINEAR DIFFERENTIAL EQUATIONS, STEEPEST DESCENT METHOD, CALCULUS OF VARIATIONS, APPROXIMATION(MATHEMATICS), OPTIMIZATION

Subject Categories : Industrial Chemistry and Chemical Processing
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE