Abstract
Model validation provides a useful means of assessing the ability of a model to account for a specific experimental observation, and has application to modeling, identification and fault detection. Prior theoretical and application work in the area of model validation for robust control models focussed on linear fractional models. In this paper we discuss the extension of these methods to certain classes of nonlinear models. The Moore-Greitzer model of rotating stall is used as a simple example to illustrate the underlying ideas.
Preview
Unable to display preview. Download preview PDF.
References
John Doyle, “Structured uncertainty in control system design”, in Proc. IEEE Control Decision Conf., 1985, pp. 260–265.
The MathWorks, Inc., Natick, MA, μ-Analysis and Synthesis Toolbox (μ-Tools), 1991.
Roy S. Smith and John C. Doyle, “Model validation: A connection between robust control and identification', IEEE Trans. Auto. Control, vol. 37, no. 7, pp. 942–952, July 1992.
Roy S. Smith, “Model validation for robust control: an experimental process control application”, Automatica, vol. 31, no. 11, pp. 1637–1647, Nov. 1995.
Kameshwar Poolla, Pramod Khargonekar, Ashok Tikku, James Krause, and Krishan Nagpal, “A time-domain approach to model validation', IEEE Trans. Auto. Control, vol. 39, no. 5, pp. 951–959, 1994.
T. Zhou and H. Kimura, “Time domain identification for robust control”, Syst. and Control Letters, vol. 20, pp. 167–178, 1993.
Roy Smith and Geir Dullerud, “Validation of continuous-time control models by finite experimental data”, IEEE Trans. Auto. Control, vol. 41, no. 8, pp. 1094–1105, Aug. 1996.
Sundeep Rangan and Kameshwar Poolla, “Time-domain validation for sampled-data uncertainty models”, IEEE Trans. Auto. Control, vol. 41, no. 7, pp. 980–991, 1996.
Yu. E. Nesterov and A. S. Nemirovskii, Interior-Point Polynomial Algorithms in Convex Programming, SIAM, Philadelphia, 1994.
Geir Dullerud and Roy Smith, “Experimental application of time domain model validation: Algorithms and analysis”, Int. J. Robust & Nonlinear Control, vol. 6, pp. 1065–1078, 1996.
F.K. Moore and E. M. Greitzer, “A theory of post-stall transients in axial compression systems—part i: Development of equations”, Journal of Turbomachinery, vol. 108, pp. 68–76, 1986.
M. Krstic, D. Fontaine, P. Kokotovic, and J. Paduano, “Useful nonlinearities and global stabilization of bifurcations in a model of jet engine surge and stall”, IEEE Trans. Auto. Control, vol. 43, no. 12, pp. 1739–1745, 1998.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer-Verlag London Limited
About this paper
Cite this paper
Smith, R., Dullerud, G. (1999). Modeling and validation of nonlinear feedback systems. In: Garulli, A., Tesi, A. (eds) Robustness in identification and control. Lecture Notes in Control and Information Sciences, vol 245. Springer, London. https://doi.org/10.1007/BFb0109862
Download citation
DOI: https://doi.org/10.1007/BFb0109862
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-85233-179-5
Online ISBN: 978-1-84628-538-7
eBook Packages: Springer Book Archive