Hankel norm

Hankel norm, 453 differentiators, 431 equation error, 453 group delay error, 454 integrators, 431 phase error, 453 Finite differences, 424, 430 Finite impulse response (FIR) filter, 87, 101-102, 128... 

Hair cells, 240, 243, 245, 259 Hammond organs, 336 Hankel norm, 453 Hanning window, 14, 16 Harmonicity, 315... 

There is another way of reducing the reactor model, by making use of Hankel norm reductions. It will not be discussed here, the interested reader is referred to Weiland and Stoorvo-gel (1997) and Curtain and Sasane (2003). 

Figure 26.9 shows the step responses for the models in case of balanced realization and truncation and Fig. 26.10 in the case of Hankel norm approximation. It can be seen that in both cases there is a reasonable agreement between the step response of the original model and the reduced model, however, there is some steady-state offset. 

Fig. 26.10. Step responses (yi, ui) and (yi, for original and reduced model in case of Hankel norm...

Curtain, R.F. and Sasane, A.J. (2003) Hankel norm approximation for weU-posed linear systems. Systems and Control Letters, 48 (5), 407-14. 

Weiland, S. and Stoorvogel, A.A. (1997) Optimal Hankel-norm identification of dynamical systems. Automatica, 33 (7), 1235 6. 

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