
Accession Number : AD0265140
Title : THE MULTIPLE INPUT MINIMAL TIME REGULATOR PROBLEM (GENERAL THEORY)
Corporate Author : CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB
Personal Author(s) : WING,J. ; DESOER,C.A.
Report Date : 26 AUG 1961
Pagination or Media Count : 1
Abstract : The minimumtime regulator problem is considered for a linear timeinvariant discrete system whose state transition equation is xk+1 = Axk +Duk+1. The problem of control is to choose an m dimensional control vector uk+1 to influence the n dimensional state vector xk+1 in some prescribed fashion. As an example it may be required to take the initial state x0 to some desired target state t in the minimum number of sampling periods with the constraint that uk+1 be from an admissible class of controls. For the minimal timeregulator problem the target state t is the equilibrium state 0. The admissible class of controls is taken to be either the whole m dimensional space or a closed bounded, hence compact, convex set which contains the origin. (Author)
Descriptors : *COMPUTERS, *CONTROL SYSTEMS, *SERVOMECHANISMS, MATHEMATICAL ANALYSIS, MATRICES(MATHEMATICS), THEORY, TIME, VECTOR ANALYSIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE