论文信息 - Minimal state space realization for transfer functions represented by coefficients using generalized orthonormal basis

Minimal state space realization for transfer functions represented by coefficients using generalized orthonormal basis

Given the expansion coefficients /spl gamma//sub l//sup k/ of a rational transfer function G in a generalized orthonormal basis generated by an inner function m, one can construct a state space representation starting from the balanced realization of m, but that representation is not minimal-even in the SISO case-in general. Therefore one needs an algorithm to construct a minimal representation. This paper gives a generalization of the celebrated Ho-Kalman algorithm that provides the desired minimal representation.

J. Bokor | Z. Szabo | J. Bokor | Z. Szabó

[1] Β. L. HO,et al. Editorial: Effective construction of linear state-variable models from input/output functions , 1966 .

[2] James Rovnyak,et al. Hardy classes and operator theory , 1985 .

[3] Carl N. Nett,et al. Control oriented system identification: a worst-case/deterministic approach in H/sub infinity / , 1991 .

[4] Jozsef Bokor,et al. System identification with generalized orthonormal basis functions , 1995, Autom..

[5] Bo Wahlberg,et al. Thresholding in high order transfer function estimation , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[6] Guoxiang Gu,et al. A class of algorithms for identification in H∞ , 1992, Autom..

[7] B. Wahlberg. System identification using Kautz models , 1994, IEEE Trans. Autom. Control..

[8] P. Khargonekar,et al. Robust convergence of two-stage nonlinear algorithms for identification in H ∞ , 1992 .

[9] P. Khargonekar,et al. Linear and nonlinear algorithms for identification in H/sub infinity / with error bounds , 1992 .

[10] Paul M.J. Van den Hof,et al. The Hambo Transform: A Signal and System Transform Induced by Generalized Orthonormal Basis Functions , 1996 .

[11] P. V. D. Hof,et al. A generalized orthonormal basis for linear dynamical systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[12] J. Partington. Robust identification and interpolation in H , 1991 .

[13] N. Nikol’skiĭ,et al. Treatise on the Shift Operator , 1986 .