Author_Institution :
Dept. of Electr. & Electron. Eng., Inonu Univ., Malatya, Turkey
Abstract :
Deals with the problem of computing the frequency response of an uncertain transfer function whose numerator and denominator polynomials are multiples of independent uncertain polynomials of the form P(s, q) = lo (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 ε [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 Bode, Nyquist, and Nichols envelopes of these uncertain systems. A numerical example is included to illustrate the benefit of the method presented.
Keywords :
frequency response; linear systems; polynomials; transfer functions; uncertain systems; Bode envelope; Nichols envelope; Nyquist envelope; denominator polynomials; edge elimination procedure; frequency response; geometric structure; independent uncertain polynomials; multilinear affine systems; numerator polynomials; uncertain systems; uncertain transfer function; value set; Frequency domain analysis; Frequency response; Polynomials; Robust control; Robust stability; Transfer functions; Uncertain systems; Uncertainty; Upper bound;