TWO CLASSES OF OPTIMUM LINEAR SYSTEMS.

Abstract

A fundamental consideration in the design of control systems is the various type of constraints involving the input or inputs to the control object. In some cases each input is generated by a different source and, consequently, a specific constraint is applied to each input. In other systems one source supplies all the inputs and the constraint applies to the totality of inputs. The latter case is presented with its object to determine the control function to transfer the system from an initial condition to a final state. Two classes of systems are presented: (l) Those linear systems for which the optimum control function is identical under two constraints of bounded power and bounded total energy; and (2) those linear systems for which the optimum control function with bounded power constraint can be approximated, with a desired accuracy, by the control function with a 'modified' total energy constraint. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1963
Accession Number
AD0424503

Entities

People

  • Nasser E. Nahi

Organizations

  • University of Southern California

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Control Systems
  • Linear Systems

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.