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Discrete-time multivariable criterion for limit cycle predictions

Discrete-time multivariable criterion for limit cycle predictions

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Circulant matrices and their properties provide a new interpretation of limit-cycle phenomena in discrete-time nonlinear feedback systems. The present work extends the results of a recent paper in order to derive a multivariable circle type of criterion with a suitable Nyquist interpretation.

References

    1. 1)
      • R.E. King , D. Williamson . Time domain matrix analysis of nonlinear hybrid control systems. Proc. IEE , 9
    2. 2)
      • J.G. Truxal . (1955) , Automatic feedback control system synthesis.
    3. 3)
      • A.I. Mees , D.P. Atherton . Domains containing the field of values of a matrix. Linear Algebra and its Applications
    4. 4)
      • R.G. Cameron , B. Kouvariatkis . Limit-cycle predictions in sampled-data systems. Proc. IEE, Pt.-D , 5 , 219 - 222
    5. 5)
      • B. Kouvaritakis , S. Mossaheb . A graphical test of the small gains theorem for multivariable nonlinear systems. Int. J. Control , 2
    6. 6)
      • Ramani, N., Atherton, D.P.: `Stability of nonlinear multivariable systems', Paper No. S10, Proc. IFAC Symp. Multivariable Technological Systems, 1974, University of Manchester.
    7. 7)
      • M.I. Freedman , P.L. Falb , G. Zames . A Hilbert space stability theory over locally compact Abelian groups. SIAM J. Control
    8. 8)
      • E.I. Jury , B.W. Lee . On the stability of a certain class of nonlinear sampled-data systems. IEEE Trans.
    9. 9)
      • A.G.J. MacFarlane , I. Postlethwaite . The generalised Nyquist stability criterion and multivariable root loci. Int. J. Control , 1
    10. 10)
      • R.P. Iwens , A.R. Bergen . Frequency response criteria for bounded-input-bounded-output stability of nonlinear sampled-data systems. IEEE Trans.
    11. 11)
      • R.C. Dorf . (1965) , Time domain analysis and design of control systems.
    12. 12)
      • B. Friedland . A technique for the analysis of time varying sampled-data systems. AIEE Trans.
    13. 13)
      • A. Tustin . A method of analysing the behaviour of linear systems in terms of time series. J. IEE
    14. 14)
      • A. Tustin . A method of analysing the effect of certain kinds of nonlinearity in closed cycle control systems. J. IEE
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