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Reduction of linear systems by canonical forms

Reduction of linear systems by canonical forms

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A new companion-type realisation of a rational transfer function is introduced. This form is then used for obtaining a reduced-order model. It is possible, using this approach, to simultaneously match time moments, Markov parameters and to retain desired poles, thus combining the methods of partial realisation (Padé approximation) and aggregation.

References

    1. 1)
      • M. Aoki . Control of large-scale dynamic systems by aggregation. IEEE Trans. , 246 - 253
    2. 2)
      • J. Hickin , N.K. Sinha . Aggregation matrices for a class of low-order models for large scale systems. Electron. Lett.
    3. 3)
      • Lamba, S.S., Vittal Rao, S.: `Derivation of aggregation matrices for simplified models of linear dynamic systems and their application for optimal control', Proceedings of joint automatic control conference, 1972, p. 498–503.
    4. 4)
      • G. Michilesco , J.M. Siret , P. Bertrand . Aggregated models for high-order systems. Electron. Lett. , 398 - 399
    5. 5)
      • G. Michailesco , J.M. Siret , P. Bertrand . (1976) , Sur la synthèse de modeles reduits par aggregation.
    6. 6)
      • S. Vittal Rao , S.S. Lamba . Eigenvalue assignment in linear optimal control systems via reduced-order models. Proc. IEE , 2 , 197 - 201
    7. 7)
      • J. Hickin , N.K. Sinha . Eigenvalue assignment by reduced-order models. Electron. Lett. , 318 - 319
    8. 8)
      • M.J. Bosley , H.W. Kropholler , J.P. Lees . On the relationship between the continued fraction and moments matching methods of model reduction. Int. J. Control , 461 - 474
    9. 9)
      • Chen, C.F., Shieh, L.S.: `A novel approach to the problem of linear model simplification', Proceedings of joint automatic control conference, 1968, p. 454–461.
    10. 10)
      • J. Hickin , N.K. Sinha . New method of obtaining reduced-order models for linear multivariable systems. Electron. Lett. , 90 - 92
    11. 11)
      • J. Hickin , N.K. Sinha . Near-optimal control using reduced-order models. Electron. Lett. , 259 - 260
    12. 12)
      • Y. Shamash . Model reduction using minimal-realisation algorithms. Electron. Lett. , 385 - 387
    13. 13)
      • Y. Shamash . Linear system reduction using Padé approximation to allow retention of dominant modes. Int. J. Control , 257 - 272
    14. 14)
      • P. Rózsa , N.K. Sinha . Efficient algorithm for irreducible realization of a rational matrix. Int. J. Control , 739 - 751
    15. 15)
      • Hickin, J., Sinha, N.K.: `Applications of projective reduction methods to estimation and control', SOC-107, Report, September 1975.
    16. 16)
      • M.F. Hutton , B. Friedland . Routh approximation for reducing order of linear time-invariant systems. IEEE Trans. , 329 - 337
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