
Accession Number : AD0663643
Title : APPROXIMATION TO THE TIMEOPTIMAL CONTROL OF LINEAR STATECONSTRAINED 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 timeoptimal control for linear stateconstrained systems. The constraint sets on both the state variable and the control vector can be any sets able to be approximated by piecewiseconstant 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