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A globally optimal minimax solution for spectral overbounding and factorization

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2 Author(s)
Scheid, R.E. ; Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA ; Bayard, D.S.

In this paper, an algorithm is introduced to find a minimum phase transfer function of specified order whose magnitude “tightly” overbounds a specified real-valued nonparametric function of frequency. This method has direct application to transforming nonparametric uncertainty bounds (available from system identification experiments and/or plant modeling) into parametric representations required for modern robust control design software (i.e., a minimum-phase transfer function multiplied by a norm-bounded perturbation)

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Automatic Control, IEEE Transactions on  (Volume:40 ,  Issue: 4 )