Reduction of transfer functions using dispersion analysis and the continued-fraction method. (English) Zbl 0582.93037
A new method of model reduction based on dispersion analysis and the continued-fraction method is presented. From the viewpoint of energy contribution to the system output, dynamic modes with dominant energy contributions (instead of those with dominant eigenvalues) are preserved by using dispersion analysis. Having determined the denominator of the reduced model, the parameters of the numerator are calculated by using the continued-fraction method. The reduction procedure is simple, and the reduced model is guaranteed to be stable. Moreover, owing to the fact that the important poles can properly be determined, the reduced model always leads to good approximations in both the transient and the steady- state responses of the original system.
MSC:
| 93C35 | Multivariable systems, multidimensional control systems |
| 30B70 | Continued fractions; complex-analytic aspects |
| 93C55 | Discrete-time control/observation systems |
| 93C99 | Model systems in control theory |
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