Optimization of the Feedback Loop

  • M. Drouin
  • H. Abou-Kandil
  • M. Mariton
Part of the Applied Information Technology book series (AITE)

Abstract

The concept and practical considerations concerning partial feedback control laws were explained in the preceding chapters. During this discussion the importance of the feedback loop was emphasized. The purpose of this chapter is to present a method to optimize the role of the feedback part in a mixed control law. After a brief introduction to formulate the problem, it is shown that the direct decomposition-coordination approach presented earlier leads, quite naturally, to a near-optimal total feedback control structure. This provides a method for solving control problems under structural constraints. Several examples are given to illustrate the proposed procedure and a large part of this chapter is dedicated to applications.

Keywords

Steam Expense 

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References

  1. Bingulac S.P., Cuk N.M., Calovic M.S., Calculation of optimum feedback gains for output constrained regulators, IEEE Trans. Aut. Control, Vol. AC-20; pp. 164–166, 1975.Google Scholar
  2. Choi S.S. and Sirisena, H.R., Computation of optimal output feedback gains for output constrained regulators, IEEE Trans. Aut. Control, Vol. AC-19, pp. 257–258, 1974.Google Scholar
  3. Cohen, A min-max approach to closed loop decentralized optimal control, Ricerche di Automatica, Vol. 8, pp. 86–106, 1977.Google Scholar
  4. Darwish, M., Contribution à l’étude de la stabilité et de la commande des systèmes dynamiques complexes et application aux réseaux d’énergie électrique, Thèse de Doctorat d’Etat, Université Paul Sabatier, Toulouse, 1977.Google Scholar
  5. Ermer and Vandelinde, Output feedback gains for a linear discrete stochastic control problems, IEEE Trans. Automatic Control, Vol. 18, pp. 154–157, 1973.MathSciNetCrossRefGoogle Scholar
  6. Horisberger and Bellanger, Solution of the optimal constant ouput feedback problem by conjugate gradients, IEEE Trans. Automatic Control, Vol. 19, pp. 434–435, 1974.CrossRefGoogle Scholar
  7. Iyer S.N. and Cory B.J., Optimum control of a turbo-generator including an exciter and governor, IEEE Conference proceedings. Society winter power meeting. Jan. Feb. 1971.Google Scholar
  8. Iyer S.N. and Cory B.J., Optimization of a turbo-generator transient performance by differential programming, IEEE Conference proceedings. Society winter power meeting Jan/Feb. 1971.Google Scholar
  9. Levine W.S. and Athans M., On the determination of the optimal constant output feedback gains for linear multivariable systems, IEEE Trans. Aut. Control, Vol. AC-15, pp. 44–48. 1970.Google Scholar
  10. Medanic J., Petranovic D. and Gluhajic N., The design of output regulators for discrete-time linear systems by projective control, Int. J. Control, Vol. 41, pp. 615–639. 1985.MATHCrossRefGoogle Scholar
  11. Moussa H. and Yu Y.N., Optimal power system stabilization through excitation and governor control, IEEE Trans. Power Systems, Vol. PAS-90, pp. 1166–1174, 1972.Google Scholar
  12. Mukhopadhyay B.K. and Malik O.P., Optimal control of synchronous machine excitation by quasi-linearisation technique, Proc. LEE, Vol. 119, 1972.Google Scholar
  13. Mukhopadhyay B.K. and Malik O.P., Solution of non-linear optimization problems in power systems, Int. J. Control, Vol. 17, n° 5, pp. 1041–1058, 1973.CrossRefGoogle Scholar
  14. Rao R.G. and Ahson A.I., Control of interconnected power systems using two level methods, Int. J. Control, Vol. 34, n° 6, pp. 1195–1205, 1981.MathSciNetCrossRefGoogle Scholar
  15. Singh M.G., Hassan M.F., Titli A., Multi-level feedback control for interconnected systems using the prediction principle, IEEE Trans. Systems Man Cyber., Vol. SMC-60, pp. 233–239, April 1976.Google Scholar
  16. Singh M.G. and Hassan M.F., Hierarchical successive approximation algorithms for nonlinear system, Large Scale Systems, Part I and I I, Vol. 2, 1981.Google Scholar
  17. Singh M.G., Dynamical hierarchical control, North Holland, 1977.Google Scholar
  18. Soliman H., Darwish M, Fantin J., Stabilization of large scale power systems, Int, J. Systems Sc., Vol. 9, n° 10, pp. 1091–1171, 1981.Google Scholar
  19. Yu Y.N. et al., Application of an optimal control theory to a power system, Trans. IEEE Power Systems, Vol. PAS.89, n° 1, pp. 55–62, 1970.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • M. Drouin
    • 1
  • H. Abou-Kandil
    • 1
  • M. Mariton
    • 2
  1. 1.University of Paris VI and Laboratory of Signals and SystemsGif-sur-YvetteFrance
  2. 2.MATRA SEP Imagerie et Informatique and Laboratory of Signals and SystemsGif-sur-YvetteFrance

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