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Eigenvalue/eigenvector assignment for multivariable systems and further results for output feedback control

Eigenvalue/eigenvector assignment for multivariable systems and further results for output feedback control

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The design procedure proposed by Srinathkumar and Rhoten for eigenvalue/eigenvector assignment is reinterpreted and its relationship to the matrix pseudoinverse is pointed out. An eigenvalue/eigenvector assignment method for output feedback control of nth-order n-input m-output (m≤n) systems is also presented. Geometric interpretation of state-space equations readily shows how many, and which, elements of the closed-loop-system eigenvector or reciprocal basis vector can be specified.

References

    1. 1)
      • S. Srinathkumar , R.P. Rhoten . Eigenvalue/eigenvector assignment for multivariabte systems. Electron. Lett. , 124 - 125
    2. 2)
      • Shah, S.L., Fisher, D.G., Seborg, D.E.: `Eigenvalue/eigenvector assignment using output feedback', 750523, Research Report, 1975.
    3. 3)
      • T.N.E. Greville . The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations. SIAM Rev. , 38 - 43
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