Frequency domain properties of uncertain rational functions depending on two independent interval polynomials are investigated. Several simplifications for efficient computation of the envelope of the Nyquist plots of the uncertain family are reported. Stronger computational reduction results are given for the Bode magnitude and phase plots of an interval plant-controller family of transfer functions. These results allow for a clear understanding of the extremality properties of several frequency domain performance specifications commonly used in control system design.

A. C., B., Tesi, A., & Vicino, A. (1993). Efficient computation of frequency response for systems with interval plants. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 38(6), 929-933 [10.1109/9.222304].

Efficient computation of frequency response for systems with interval plants

TESI, ALBERTO;VICINO, ANTONIO
1993

Abstract

Frequency domain properties of uncertain rational functions depending on two independent interval polynomials are investigated. Several simplifications for efficient computation of the envelope of the Nyquist plots of the uncertain family are reported. Stronger computational reduction results are given for the Bode magnitude and phase plots of an interval plant-controller family of transfer functions. These results allow for a clear understanding of the extremality properties of several frequency domain performance specifications commonly used in control system design.
A. C., B., Tesi, A., & Vicino, A. (1993). Efficient computation of frequency response for systems with interval plants. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 38(6), 929-933 [10.1109/9.222304].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/29008
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