Convergence of a class of Padé approximations for delay systems
- 1 October 1990
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 52 (4) , 989-1008
- https://doi.org/10.1080/00207179008953578
Abstract
This paper concerns the convergence of a class of rational approximations for delay systems of the form exp (— sT) M(s), where M(s) is a strictly proper rational transfer matrix. The rationale for reducing the order of G(s) is to replace exp (— sT) in G(s) by the class of all-pass/low-pass Pade approximations. The L2 and Lm convergence in the frequency domain are established under mild conditions on M(s) (and hence impulse response in the L2 case). For scalar M(s), the convergence is achieved at an optimal rate. Error bounds for the approximants are obtained which provide a priori estimates for the errors.Keywords
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