“On the location of LQ-optimal closed-loop poles”

Authors: David Di Ruscio,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1992, Vol 13, No 1, pp. 15-23.

Keywords: Linear optimal control, eigenvalues, inequalities, pole placements

Abstract: Inequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and centre at -alpha less than or equal to 0, where alpha=0 is the imaginary axis, and that the imaginary parts of these eigenvalues are bounded from up and below by two lines parallel to the real axis.

PDF PDF (893 Kb)        DOI: 10.4173/mic.1992.1.2

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  title={{On the location of LQ-optimal closed-loop poles}},
  author={Di Ruscio, David},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}