4. The Tracking Problem and other LQR Extensions

  1. Frank L. Lewis1,
  2. Draguna L. Vrabie2 and
  3. Vassilis L. Syrmos3

Published Online: 11 JAN 2012

DOI: 10.1002/9781118122631.ch4

Optimal Control, Third Edition

Optimal Control, Third Edition

How to Cite

Lewis, F. L., Vrabie, D. L. and Syrmos, V. L. (2012) The Tracking Problem and other LQR Extensions, in Optimal Control, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118122631.ch4

Author Information

  1. 1

    Department of Electrical Engineering, Automation & Robotics Research Institute, University of Texas at Arlington, Arlington, Texas, USA

  2. 2

    United Technologies Research Center, East Hartford, Connecticut, USA

  3. 3

    Department of Electrical Engineering, University of Hawaii at Manoa, Honolulu, Hawaii, USA

Publication History

  1. Published Online: 11 JAN 2012
  2. Published Print: 11 JAN 2012

ISBN Information

Print ISBN: 9780470633496

Online ISBN: 9781118122631

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Keywords:

  • tracking problem, other LQR extensions;
  • optimal control law forcing plant to track r(t);
  • LQ tracking, discrete-time tracking;
  • second-order variations in performance index;
  • function of final-state-fixed LQ regulator

Summary

This chapter contains sections titled:

  • The Tracking Problem

  • Regulator with Function of Final State Fixed

  • Second-Order Variations in the Performance Index

  • The Discrete-Time Tracking Problem

  • Discrete Regulator with Function of Final State Fixed

  • Discrete Second-Order Variations in the Performance Index

  • Problems