State Feedback |1-Optimal Controllers can be Dynamic

Abstract

This paper considers discrete-time systems with full state feedback, scalar control and scalar disturbance. First, systems with a scalar regulated output are studied (singular problems). It is shown that there is a large class of such systems characterized by the non-minimum phase zeros of the transfer function from the control to the regulated output, for which the |1-optimal controller is necessarily dynamic. Moreover, such controllers may have arbitrarily high order. Second, problems with two regulated outputs, one of them being the scalar control sequence, are considered (non-singular problems). It is shown, by means of a fairly general example, that such problems may not have static controllers that are |1-optimal.

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Document Details

Document Type
Technical Report
Publication Date
Aug 14, 1991
Accession Number
ADA459573

Entities

People

  • Ignacio J. Diaz-bobillo
  • Munther A. Dahleh

Organizations

  • Massachusetts Institute of Technology

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  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Computer Programming
  • Computer Programs
  • Eigenvalues
  • Equations
  • Feedback
  • Information Operations
  • Linear Programming
  • Massachusetts
  • Optimization
  • Polynomials
  • Sequences
  • Standards
  • Transfer Functions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis