Accession Number : AD0696785

Title :   SEGMENT METHOD FOR THE CONTROL OF SYSTEMS IN THE PRESENCE OF UNCERTAINTY,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Medanic,J. ; Chen,Cheng-I

Report Date : NOV 1969

Pagination or Media Count : 29

Abstract : The paper develops the segment method for the problem of control with uncertainty. It is shown that due to disturbances a segment of values of the performance functional is associated with each admissible control. It is proposed that the optimal control for the problem with uncertainty be defined on the basis of an ordering of associated segments. The ordering is achieved by introducing a segment index. Two particular segments, the pessimistic and the optimistic segment, are shown to be important in the analysis of the problem while minimization of the introduced segment index is the basic synthesis problem. The approach is applied to a linear control problem where uncertainty is caused by external disturbances and specific results are presented. They show the optimal control to retain the advantages of the usual, minimax type designs and ensure better system performance for disturbances other than the worst. (Author)

Descriptors :   (*CONTROL SYSTEMS, UNCERTAINTY), ADAPTIVE CONTROL SYSTEMS, STOCHASTIC PROCESSES, LINEAR SYSTEMS, MINIMAX TECHNIQUE, OPTIMIZATION, THEOREMS, FEEDBACK

Subject Categories : Statistics and Probability
      Test Facilities, Equipment and Methods

Distribution Statement : APPROVED FOR PUBLIC RELEASE