REDUCTION OF LINEAR DYNAMIC SYSTEMS USING HANKEL NORM APPROXIMATION

Nidhi Singh

References

  1. [1] R. Genesio and M. Milanese, A note on the derivation and use of reduced order models, IEEE Transactions on Automatic Control, 21, 1976, 118.
  2. [2] Z. Elrazaz and N.K. Sinha, Review of some model reduc-tion techniques, Canadian Electrical Engineering Journal, 6, 1981, 34.
  3. [3] R. Prasad, Order reduction of discrete time systems using stability equation method and weighted time moments, Journal of Institutions of Engineers IE(I), 74, 1993, 94–99.
  4. [4] J.P. Tewari and S.K. Bhagat, Simplification of discrete-time systems by improved Routh stability criterion via p-domain, Institution of Engineers, 84, 2004, 189–191.
  5. [5] A. Birouche, B. Mourllion, and M. Basset, Model reduction for discrete time switched linear time delay systems via the H∞ robust stability, Control and Intelligent systems, 39(1), 2011.
  6. [6] P. Benner, E.S. Quintana-Orti, and G. Quintana-Orti, Parallel algorithms for model reduction of discrete time systems, International Journal of Systems Science, 34(5), 2003, 319–333.
  7. [7] Y. Shamash and D. Feinmesser, Reduction of discrete time systems using a modified Routh array, International Journal of Systems Science, 9(1), 1978, 53–64.
  8. [8] Y. Bistritz and U. Shaked, Discrete multivariable system approximation by minimal Pade Type stable models, IEEE Transactions on Circuits and Systems, 31(4), 1984, 382–390.
  9. [9] C.P. Therapos, Direct method for discrete low order modeling, Electronics Letters, 20(6), 1984, 266–268.
  10. [10] Shih Y.P. Hwang and R.Y. Hwang, A combined time andfrequency domain method for model reduction of discretesystems, Journal of Franklin Institute, 311(6), 1981, 391–402.
  11. [11] B.C. Moore, Principal component analysis in linear systems: Controllability, observability and model reduction. IEEE Transactions on Automatic Control, 26, 1981, 17–31.
  12. [12] P. Lars and L.M. Silverman, Model reduction via balanced state space representations. IEEE Transactions on Automatic Control, 27, 1982, 382–387.
  13. [13] S. Skogestad and I. Postlewaite, Multivariable feedback control: Analysis and design, 2nd ed. (New York, NY: John Wiley & Sons, 1996).
  14. [14] G. Keith, All optimal Hankel-norm approximations of linear multivariable systems and their L∞ – error bounds, International Journal of Control, 39, 1984, 1115–1193.
  15. [15] Z. Kemin, Frequency weighted L∞ norm and optimal Han-kel norm model reduction, IEEE Transactions on AutomaticControl, 40, 1995, 1687–1699.
  16. [16] S. Kung and W. David Lin, Optimal Hankel-norm modelreductions: Multivariable systems, IEEE Transactions onAutomatic Control, 26, 1981, 832–852.
  17. [17] M.S. Tombs and I. Postlewhait, Truncated balanced realization of a stable non-minimal state space system, International Journal of Control, 46(4), 1987, 1319–1330.
  18. [18] G.A. Lathman and B.D.O. Anderson, Frequency weighted optimal Hankel norm approximation of stable transfer functions, Systems and Control Letters, 5, 1986, 229–236.
  19. [19] Y.S. Hung and K. Glover, Optimal Hankel norm approxi-mation of stable systems with first order stable weightingfunctions,Systems and Control Letters, 7, 1986, 165–172.
  20. [20] N. Singh, R. Prasad, and H.O. Gupta, Reduction of large scale systems using Hankel norm approximation, International Control Conference-2006, Glasgow, UK, August 28–September 01, 2006.
  21. [21] R.S. Sanchez-Pena and M. Sznaier, Robust systems: Theory and Applications (New York: John Wiley & Sons, Inc., 1998).
  22. [22] B.N. Datta, Numerical methods for linear control systems (San Diego, California, USA: Academic Press, 2004).
  23. [23] P. Rajendra, Pade type model order reduction for multivariable systems using Routh approximation, Computers and Electrical Engineering, 26, 2000, 445–459.
  24. [24] C.P. Therapos, Bilinear transformation and minimal order, Proceedings of IEEE, 72(8), 1984, 1091–1092.
  25. [25] C.F. Yung and C. Hwang, Algorithm for biased continuedfraction expansions of z-transfer functions, Electronic Letters, 21(16), 1985, 710–712.
  26. [26] C.M. Liaw, C.T. Pan, and M. Ouyang, Model reduction ofdiscrete systems using power decomposition method and system identification method, IEE Proceedings, 133(1), 1986, 30–34.

Important Links:

Go Back