Decentralized stabilization of large-scale interconnected systems

  • J. C. Willems
  • Masao Ikeda
Session 5 Stability II
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)


In this paper we study the stabilization of interconnected systems by means of decentralized feedback, i.e., in which the control on a given subsystem uses only the measurement on that subsystem. The results obtained use the theory of almost invariant subspaces.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    E.J. Davison, "The Decentralized Stabilization and Control of a Class of Unknown Nonlinear Time-Varying Systems", Automatica, Vol. 10, 1974, pp. 309–316.Google Scholar
  2. [2]
    M. Ikeda and D.D. Šiljak, "When is a Linear Decentralized Control Optimal?", Proc. of the Fifth International Conference on Analysis and Optimization of Systems, New York, Springer Verlag, 1982, pp. 419–431.Google Scholar
  3. [3]
    M. Ikeda, D.D. Šiljak, and K. Yasuda, "Optimality of Decentralized Control for Large-Scale Systems", Automatica, Vol. 19, 1983, pp. 309–316.Google Scholar
  4. [4]
    D.D. Šiljak and M.B. Vukčević, "On Decentralized Estimation", Internat. J. Control, Vol. 27, 1978, pp. 113–131.Google Scholar
  5. [5]
    Ö. Hüseyin, M.E. Sezer, and D.D. Šiljak, "Robust Decentralized Control Using Output Feedback", IEEE Proc., Vol. 129, Pt. D, 1982, pp. 310–314.Google Scholar
  6. [6]
    N. Viswanadham and A. Ramakrishna, "Decentralized Estimation and Control for Interconnected Systems", Large Scale Systems, Vol. 3, 1982, pp. 255–266.Google Scholar
  7. [7]
    K. Okuda and M. Ikeda, "Stabilization of Large-Scale Systems Using Dynamic Controllers", Proc. of the Twelfth SICE Symposium on Control Theory, 1983, pp. 69–72 (In Japanese).Google Scholar
  8. [8]
    J.C. Willems, "Almost Invariant Subspace: An Approach to High Feedback Design — Part I: Almost Controlled Invariant Subspaces", IEEE Trans on Automatic Control, Vol. AC-26, 1981, pp. 235–252.Google Scholar
  9. [9]
    J.C. Willems, "Almost Invariant Subspaces: An Approach to High Gain Feedback Design — Part II: Almost Conditionally Invariant Subspaces", IEEE Trans. on Automatic Control, Vol. AC-27, 1982, pp. 1071–1085.Google Scholar
  10. [10]
    W.M. Wonham, Linear Multivariable Control: A Geometric Approach, New York: Springer Verlag, 1979.Google Scholar
  11. [11]
    J.L. Willems and J.C. Willems, "Robust Stabilization of Uncertain Systems", SIAM J. Control and Optimization, Vol. 21, No. 3, 1983, pp. 352–374.Google Scholar
  12. [12]
    M.L.J. Hautus and L.M. Silverman, "System Structure and Singular Control", Linear Algebra and Its Applications, Vol. 50, 1983, pp. 369–402.Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • J. C. Willems
    • 1
  • Masao Ikeda
    • 2
  1. 1.Mathematics InstituteUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of Systems EngineeringKobe UniversityNada KobeJapan

Personalised recommendations