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Shifted Legendre approach to the analysis and identification of a linear delayed system with a nonlinear gain

Shifted Legendre approach to the analysis and identification of a linear delayed system with a nonlinear gain

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Applications of the shifted Legendre polynomials expansion to the analysis and identification of the nonlinear time-delayed system, described by a memoryless nonlinear element followed by a linear plant with time delay, are studied. The system described here is assumed both controllable and observable. For analysis, by using the shifted Legendre polynomials expansion, the solution of a nonlinear state equation is reduced to the solution of a linear algebraic matrix equation. For identification, through the shifted Legendre expansions of the measured input/output data, the unknown parameters of both the linear delayed plant and the characterisation of the nonlinear element are estimated by using the least-squares method. Algorithms are presented. Numerical examples are given to illustrate the use of this approach.

References

    1. 1)
      • M.S. Corrington . Solution of differential and integral equations with Walsh functions. IEEE Trans. , 470 - 476
    2. 2)
      • C.F. Chen , C.H. Hsiao . A state space approach to Walsh series solution of linear system. Int. J. Syst. Sci. , 833 - 858
    3. 3)
      • P. Sannuti . Analysis and synthesis of dynamic system via blockpulse functions. Proc. IEE , 569 - 571
    4. 4)
      • F.C. Kung , H. Lee . Solution of linear state-space equations and parameter estimation in feedback systems using Laguerre polynomial expansion. J. Franklin Inst. , 393 - 403
    5. 5)
      • G.P. Rao , T. Srinivasan . Analysis and synthesis of dynamic systems containing time delays via block-pulse functions. Proc. IEE , 1064 - 1068
    6. 6)
      • W.L. Chen . Walsh series analysis of multi-delay systems. J. Franklin Inst. , 207 - 217
    7. 7)
      • F.C. Kung , H. Lee . Solution and parameter estimation in linear time-invariant delayed systems using Laguerre polynomials expansion. Trans. ASME J. Dyn. Syst. Meas. & Control , 297 - 301
    8. 8)
      • G.P. Rao , L. Sivakumar . System identification via Walsh functions. Proc. IEE , 1160 - 1161
    9. 9)
      • K.R. Palanisamy , D.K. Bhattacharya . System identification via block-pulse functions. Int. J. Syst. Sci. , 643 - 647
    10. 10)
      • P. Stavroulakis , S. Tzafestas . Walsh series approach to observer and filter design in optimal control systems. Int. J. Control , 721 - 736
    11. 11)
      • C.F. Chen , C.H. Hsiao . Walsh series analysis in optimal control. Int. J. Control , 881 - 897
    12. 12)
      • V.P. Rao , K.R. Rao . Optimal feedback control via blockpulse functions. IEEE Trans. , 372 - 374
    13. 13)
      • C.C. Liu , Y.P. Shih . Analysis and optimal control of timevarying systems via Chebyshev polynomials. Int. J. Control , 1003 - 1012
    14. 14)
      • R.Y. Chang , M.L. Wang . Model reduction and control system design by shifted Legendre polynomial functions. Trans. ASME J. Dyn. Syst. Meas. & Control , 52 - 55
    15. 15)
      • C. Hwang , Y.P. Shih . Model reduction by Laguerre polynomials technique. Trans. ASME J. Dyn. Syst. Meas. & Control , 301 - 304
    16. 16)
      • M.S.P. Sinha , V.S. Pajamani , A.K. Sinha . Identification of nonlinear distributed system using Walsh functions. Int. J. Control , 669 - 676
    17. 17)
      • N.S. Hsu , B. Cheng . Identification of nonlinear distributed system via block-pulse functions. Int. J. Control , 281 - 292
    18. 18)
      • D.H. Shih , F.C. Kung . Shifted Legendre approach to nonlinear system analysis and identification. Int. J. Control , 6 , 1399 - 1410
    19. 19)
      • C. Hwang , M.Y. Chen . Analysis and parameter identification of time-delay systems via shifted Legendre polynomials. Int. J. Control , 403 - 415
    20. 20)
      • L. Lee , F.C. Kung . Shifted Legendre series solution and parameter estimation of linear delayed systems. Int. J. Syst. Sci. , 10 , 1249 - 1256
    21. 21)
      • R. Bellman . (1960) , Introduction to matrix analysis.
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