An Algorithm for Robust Eigenstructure Assignment Using the Linear Quadratic Regulator

Abstract

The Linear Quadratic Regulator (LQR) can guarantee a robust closed loop eigenstructure for full state feedback. The algorithm developed here takes advantage of the stability guarantees of LQR to achieve an eigenstructure close to desired but within the allowable region of LQR. The algorithm selects the LQR weighting matrices, Q and R, that minimize the distance between the elements of the desired and LQR achievable eigenstructures. The minimization is accomplished by using a simplex based optimization routine. Specific weightings placed on the elements of the desired eigenstructure define the relative importance of each element. The algorithm is programmed in FORTRAN and is designed to be run from the software package MATLAB. Two examples are examined to illustrate the use of the program, including a helicopter flight control system. The results show that this algorithm is a valid technique for achieving robust eigenstructure assignment with full state feedback.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1991
Accession Number
ADA244267

Entities

People

  • Thomas C. Huckabone

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Algorithms
  • Closed Loop Systems
  • Computer Programs
  • Computers
  • Control Systems
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Feedback
  • Flight Control Systems
  • Frequency
  • Guarantees
  • Helicopters
  • Linear Systems
  • Multiple Input Multiple Output
  • Regulators

Readers

  • Control Systems Engineering.
  • Operations Research