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On the computation of the optimal constant output feedback gains for large-scale linear time-invariant systems subjected to control structure constraints

  • Basílio E. A. Milani
Optimal Control: Ordinary And Delay Differential Equations
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)

Abstract

The design of time-invariant L-Q infinite time regulators with a prespecified feedback control structure is treated as a parameter optimization problem. Based on the procedures for computation of the quadratic criterion, its gradient vector and Hessian Matrix, the computational performances of a special purpose Quasi-Newton algorithm and other known general purpose optimization methods are compared.

Keywords

Hessian Matrix Gradient Vector Steep Descent Method Feedback Channel Parameter Optimization Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Levine W.S., Athans M., “On the determination of the optimal constant output feedback gains for linear multivariable systems”, IEEE Trans. Auto. Control vol. AC-15, no. 1, February 1970.Google Scholar
  2. [2]
    Naeije W.J., Valk P., Bosgra O.H., “Design of optimal incomplete state feedback controllers for large linear constant systems”, Lecture Notes in computer science, series I.F.I.P. TC7 Optimization conferences 3,5th conference on optimization techniques Part I, Springer-Verlag, 1973.Google Scholar
  3. [3]
    Davison E.J., Rau N.S., Palmay F.V., “The optimal decentralized control of a power system consisting of a number of inter-connected synchronous machines”, Int. Journal Control, vol. 18 no. 6, 1973.Google Scholar
  4. [4]
    Geromel J.C., Bernoussou J., “L.Q. design for optimal decentralized control of linear interconnected systems”, L.A.A.S. C.N.R.S., Toulouse, France, 1978.Google Scholar
  5. [5]
    Milani B.E.A., “A Quasi-Newton algorithm for optimization of the output feedback gains for linear multivariable systems subjected to control structure constraints”, paper presented at the “Optimization Days 1979 Conference”, McGill University, Montreal P.Q., Canada, May 1979.Google Scholar
  6. [6]
    Kosut R.L., “Suboptimal control of linear time-invariant systems subjected to control structure constraints”, IEEE Trans. Autom. Control, vol. AC-15 no. 5, October, 1970.Google Scholar
  7. [7]
    Isaksen L., Payne H.J., “Suboptimal control of linear systems by augmentation with application to freeway traffic regulation”. IEEE Trans. Autom. Control, vol. AC-18 no. 3, June 1973.Google Scholar
  8. [8]
    Fletcher R., Powell M.J., “A rapidly convergent descent method for minimization”, Computer Journal, vol. 6 no. 2, 1963.Google Scholar
  9. [9]
    Fletcher R., Reeves C.M., “Function minimization by conjugate gradients”, Computer Journal, vol. 7 no. 2, 1964.Google Scholar
  10. [10]
    Rosembrock H.H., “An automatic method for finding the greatest or least value of a function”, Computer Journal, vol. 3, 1960.Google Scholar
  11. [11]
    Pace I.S., Barnett S., “Comparison of numerical methods for solving Liapunov matrix equation”, Int. Journal Control, vol. 15 no. 5, 1972.Google Scholar
  12. [12]
    Durand E., “Solutions numériques des équations algébriques” Tome II, Masson et cie, Paris 1972.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Basílio E. A. Milani
    • 1
  1. 1.Universidade Estadual de CampinasCampinas (SP)Brazil

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