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New Algorithm for Computing LQ Suboptimal Output Feedback Gains of Decentralized Control Systems

Author

Listed:
  • W. Q. Liu

    (University of Western Australia
    Qufu Normal University)

  • V. Sreeram

    (Qufu Normal University)

Abstract

In this paper, the problem of computing the suboptimal output feedback gains of decentralized control systems is investigated. First, the problem is formulated. Then, the gradient matrices based on the index function are derived and a new algorithm is established based on some nice properties. This algorithm shows that a suboptimal gain can be computed by solving several ordinary differential equations (ODEs). In order to find an initial condition for the ODEs, an algorithm for finding a stabilizing output feedback gain is exploited, and the convergence of this algorithm is discussed. Finally, an example is given to illustrate the proposed algorithm.

Suggested Citation

  • W. Q. Liu & V. Sreeram, 1997. "New Algorithm for Computing LQ Suboptimal Output Feedback Gains of Decentralized Control Systems," Journal of Optimization Theory and Applications, Springer, vol. 93(3), pages 597-607, June.
  • Handle: RePEc:spr:joptap:v:93:y:1997:i:3:d:10.1023_a:1022647230641
    DOI: 10.1023/A:1022647230641
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