Accession Number : AD0663643

Title :   APPROXIMATION TO THE TIME-OPTIMAL CONTROL OF LINEAR STATE-CONSTRAINED SYSTEMS.

Descriptive Note : Information sciences rept. no. 6,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH INFORMATION SCIENCES LAB

Personal Author(s) : Fath,A. Frederick

Report Date : OCT 1967

Pagination or Media Count : 30

Abstract : A procedure is presented for approximating the time-optimal control for linear state-constrained systems. The constraint sets on both the state variable and the control vector can be any sets able to be approximated by piecewise-constant convex polygonal sets. The target set can be specified as any convex polygonal set about the origin in state space. The approximation is obtained by reformulating the problem such that iteration on a scalar quantity (the final time) is needed with a linear programming problem solved at each iteration. An example using a fourth order system is presented. (Author)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), LINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, INEQUALITIES, CONVEX SETS, LINEAR PROGRAMMING, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE