Frequency Domain Tests for Validation of Linear Fractional Uncertain Models

Abstract A frequency domain approach is adopted in this paper to tackle the problem of validating uncertainty models described by linear fractional transforms. It is shown that the validation problem reduces to one of Nevanlinna-Pick boundary interpolation, and it can be solved by solving independently a sequence of convex programs defined with respect to each sampling frequency. In comparison to previously available algorithms hased on time domain information, the main advantage of these tests is that they have a considerably lower level of computational complexity.

[1]  Bruce A. Francis,et al.  Consistency of experimental frequency-response data with coprime factor plant models , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[2]  Jie Chen,et al.  The Caratheodory-Fejer problem and H∞/l1 identification: a time domain approach , 1995, IEEE Trans. Autom. Control..

[3]  Kameshwar Poolla,et al.  Time-domaim validation for sample-data uncertainty model , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[4]  Jie Chen,et al.  Validation of linear fractional uncertain models: solutions via matrix inequalities , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[5]  K. Poolla,et al.  A time-domain approach to model validation , 1994, IEEE Trans. Autom. Control..

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

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

[8]  Jie Chen,et al.  Worst case system identification in H∞: validation of a priori information, essentially optimal algorithms, and error bounds , 1995, IEEE Trans. Autom. Control..

[9]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..

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

[11]  Geir E. Dullerud,et al.  Validation of continuous-time control models by finite experimental data , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[12]  Hidenori Kimura,et al.  Time domain identification for robust control , 1993 .

[13]  John Doyle,et al.  Model validation: a connection between robust control and identification , 1992 .