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

W. Q. Liu and V. Sreeram
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W. Q. Liu: University of Western Australia
V. Sreeram: Qufu Normal University

Journal of Optimization Theory and Applications, 1997, vol. 93, issue 3, No 9, 597-607

Abstract: 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.

Keywords: Optimal control; gradient flows; optimization; decentralized systems; performance index (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022647230641

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