Abstract
In this introductory chapter we distinguish between the discrete time (discrete- time) and continuous time approaches. We point out situations where the latter are preferable by drawing attention to certain problems associated with the conventional shift operator, z. Some viable alternatives for a continuous-time treatment are given. This is followed by an outline of the contents and organization of the various contributions to this book.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Agarwal, R.C. and Burrus,C.S. (1975), “New recursive digital filter structures having very low sensitivity and roundoff noise”, IEEE Trans. Circuits and Systems, Vol. CAS-22, pp. 921–927.
Äström, K.J., Hagander, P. and Sternby, J. (1984), “Zeros of sampled systems”, Automatica, Vol.20. pp. 31–38.
Bingulac, S. and Sinha, N.K. (1989), “On the identification of continuous time multivariable systems from samples of input-output data”, Proc. Seventh Int. Conf. on Mathematical and Computer Modelling, (Chicago, I11, August 1989), pp. 203–208.
Edmunds, J.M. (1982), “Identifying sampled data systems using difference operator model”, Report UMIST, CSC-601, Manchester, U.K.
Gawthrop, P.J. (1982), “A continuous time approach to self tuning control”, Optimal Control-Applications and Methods, Vol. 3, pp. 394–414.
Gupta, S.C. (1966), “Transform and State Variable Analysis in Linear Algebra”, John Wiley and Sons, New York
Harris, C.J. and Billings, S.A. (1981), “Self Tuning and Adaptive Control: Theory and Applications”, Peter Peregrinus, Stevenage, U.K.
Mantey, P.E. (1968), “Eigenvalue sensitivity and state variable selection”, IEEE Trans. Auto. Control, Vol. AC-13, pp. 263–269.
Middleton, R.H. and Goodwin, G.C. (1986), “Improved finite word length characteristics in digital control using delta operator”, IEEE Trans. on Auto. Control, Vol. AC-31, pp. 1015–1021.
Orandi, G. and Martinelli, G. (1984), “Low sensitivity recursive digital filters obtained via delay replacement”, IEEE Trans. Circuits and Systems, Vol. CAS-31, pp. 654–657.
Patra, A. and Rao, G.P. (1989a), “General hybrid orthogonal functions and some potential applications in systems and control”, 1EE Proc, Part D., Vol. 136, pp. 157–163.
Patra, A. and Rao, G.P. (1989b), “General hybrid orthogonal functions — A new tool for analysis of power electronic systems”, IEEE Trans. Ind. Elec., Vol. IE-36, pp. 413–424.
Patra, A. and Rao, G.P. (1989c), “Continuous time approach to self tuning control: Algorithm, implementation and assessment”, IEE Proc., Pt-D, Vol. 136, pp. 333–340.
Puthenpura, S. and Sinha, N.K. (1985), “A procedure for determining the optimal sampling interval for system identification using a digital computer”, Can. Elec. Eng. J., Vol. 10, pp. 152–157.
Rao, G.P. (1983), “Piecewise Constant Orthogonal Functions and Their Application to Systems and Control”, Springer Verlag, Berlin.
Sagara, S. and Zhao, Z.Y. (1987), “On-line identification of continuous systems using linear integral filter”, 19th JAACE Symp. on Stochastic systems theory and its applications, (Fukuoka, Japan), pp. 41–46.
Saha, D.C. and Rao, G.P. (1983), “ Identification of Continuous Dynamical Systems: The Poisson Moment Functional (PMF) Approach”, Springer Verlag, Berlin.
Sinha, N.K. and Lastman, G.J. (1982), “Identification of continuous time multivariable systems from sampled data”, Int. J. Control, Vol. 35, pp. 117–126.
Sinha, N.K. and Puthenpura, S. (1985), “Choice of sampling interval for the identification of continuous-time systems from samples of input output data”, IEE Proceedings, Pt.D., Vol. 132, pp. 263–267.
Unbehauen, H. and Rao, G.P. (1987), “Identification of Continuous Systems”, North Holland, Amsterdam.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Rao, G.P., Sinha, N.K. (1991). Continuous-time models and approaches. In: Sinha, N.K., Rao, G.P. (eds) Identification of Continuous-Time Systems. International Series on Microprocessor-Based Systems Engineering, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3558-0_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-3558-0_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5576-5
Online ISBN: 978-94-011-3558-0
eBook Packages: Springer Book Archive