SEGMENT METHOD FOR THE CONTROL OF SYSTEMS IN THE PRESENCE OF UNCERTAINTY,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1969
- Accession Number
- AD0696785
Entities
People
- Cheng-i Chen
- J. Medanic
Organizations
- University of Illinois Urbana–Champaign