Static Output Feedback Stabilization using Invariant Subspaces and Sylvester Equations

Authors

  • E.R.L Villareal
  • J.A. Ruiz Vargas
  • E.M. Hemerly

DOI:

https://doi.org/10.5540/tema.2009.010.01.0099

Abstract

This paper presents systematic computational algorithms for obtaining the output feedback gain matrix in linear systems stabilization problems. Based on the concept of (C,A,B)-invariant subspaces, introduced previously by the first author, that has related the existence of a gain matrix to the solution of coupled Sylvester equations, two algorithms are presented: 1) in the Syrmos-Lewis algorithm, a modification is proposed to provide a more adequate framework to numerical solution, and 2) by using orthogonal transformations, the Alexandridis-Paraskevopoulos algorithm is modified to overcome, in part, the Kimura condition. Numerical examples are provided to illustrate the application of the proposed algorithms.

References

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Published

2009-06-01

How to Cite

Villareal, E., Ruiz Vargas, J., & Hemerly, E. (2009). Static Output Feedback Stabilization using Invariant Subspaces and Sylvester Equations. Trends in Computational and Applied Mathematics, 10(1), 99–110. https://doi.org/10.5540/tema.2009.010.01.0099

Issue

Vol. 10 No. 1 (2009)

Section

Original Article

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