Tan N.Atherton D.P.2024-08-042024-08-0420019783952417362https://doi.org/10.23919/ecc.2001.7075940https://hdl.handle.net/11616/92318Directorate General XII of the European Commission;Faculdade de Engenharia da Universidade do Porto6th European Control Conference, ECC 2001 -- 4 September 2001 through 7 September 2001 -- 112066The paper deals with the problem of computing the Bode envelope of an uncertain transfer function whose numerator and denominator polynomials are multiples of independent uncertain polynomials of the form P(s, q) = l0(q) + l1(q)s +.........+ ln(q)sn whose coefficients depend linearly on q = [q1, q2,..., qq]T and the uncertainty-box is Q = {q : qi [qi, qi], i = 1,2,...., q}. Using the geometric structure of the value set of P(s, q), a powerful edge elimination procedure is proposed for computing the magnitude and phase envelopes of these uncertain systems. A numerical example is included to illustrate the benefit of the method presented. © 2001 EUCA.eninfo:eu-repo/semantics/closedAccessAffine linear uncertaintyBode envelopeFrequency responseMultilinear affine systemsConference Object40240710.23919/ecc.2001.70759402-s2.0-84947460497N/A