Accession Number : AD0702085

Title :   DYNAMIC PROGRAMMING AND APPROXIMATION IN POLICY SPACE FOR OPTIMAL FEEDBACK CONTROL OF NONLINEAR SYSTEMS.

Descriptive Note : Technical rept.,

Corporate Author : LOUISIANA STATE UNIV BATON ROUGE COLL OF ENGINEERING

Personal Author(s) : Corripio,Armando B. ; Smith,Cecil L. ; Murrill,Paul W.

Report Date : DEC 1969

Pagination or Media Count : 37

Abstract : Dynamic programming is used to obtain optimal feedback control policies for time-invariant nonlinear systems with fixed final time. The policy is obtained in the form of a table of the control variable as a function of the state of the system and the time remaining in the process. The recursive relation necessary to obtain the control table is derived for nonlinear systems in general and then used to calculate the optimal temperature schedules for a first order and for a second order batch reactor system. It is shown that approximation in policy space is not needed for the numerical solution of the problem. (Author)

Descriptors :   (*CHEMICAL ENGINEERING, MATHEMATICAL MODELS), (*ADAPTIVE CONTROL SYSTEMS, *DYNAMIC PROGRAMMING), APPROXIMATION(MATHEMATICS), NONLINEAR SYSTEMS, CHEMICAL REACTIONS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, TEMPERATURE, OPTIMIZATION

Subject Categories : Industrial Chemistry and Chemical Processing
      Numerical Mathematics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE