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Application of generalised polynomials to the decoupling of linear multivariable systems

Application of generalised polynomials to the decoupling of linear multivariable systems

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Properties of generalised polynomials and generalised polynomial matrices are applied to the problem of the decoupling with Λ-stability of linear square multivariable systems, i.e. decoupling of linear systems with closed-loop poles in a region Λ of the complex plane. We present first some extensions of well known results about generalised polynomials, which are basically defined as rational functions with poles in a symmetric region of the extended complex plane. Then, an application of the concepts to the problem of decoupling with Λ-stability of linear square multivariable systems is presented. The conditions for this problem to have a solution are stated in terms of the row and global zero structure of the system out of the region Λ.

References

    1. 1)
      • G.D. Forney . Convolutional codes I: algebraic structure. IEEE Trans. Inf. Theory , 720 - 738
    2. 2)
      • Morse, A.S.: `System invariants under feedback and cascade control', Proc. Int. Symp., 1975, Udine, Italy, p. 61–74.
    3. 3)
      • L. Pernebo . An algebraic theory for the design of controllers for linear multivariable systems. IEEE Trans. on Autom. Control , 1
    4. 4)
      • M. Vidyasagar . (1985) Control system synthesis: a factorization approach.
    5. 5)
      • A.I.G. Vardulakis . (1991) Linear multivariable control.
    6. 6)
    7. 7)
    8. 8)
      • J.C. Martínez , M. Malabre . The row by row decoupling problem with stability: A structural approach. IEEE Trans. Autom. Control , 12 , 2457 - 2460
    9. 9)
      • Ruiz-León, J., Zagalak, P., Eldem, V.: `On the problem of decoupling', Proc. 3rd IFAC Conf. on System Structure and Control, 1995, Nantes, France, p. 611–616.
    10. 10)
      • V. Kučera . (1979) Discrete linear control: the polynomial equation approach.
    11. 11)
      • F.R. Gantmacher . (1959) Matrix theory.
    12. 12)
    13. 13)
    14. 14)
      • V. Kučera , P. Zagalak . Constant solutions of polynomial equations. Int. J. Control , 2 , 495 - 502
    15. 15)
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