Abstract
This paper presents a method of reduction for linear structured uncertain system using stability equation. The denominator d(m)(s) of the reduced model is obtained by discarding the poles or zeros with larger magnitudes from stability equation polnomials of the four Kharitonov's polynomials associated with the denominator d(s)(s) of the original uncertain system. The numerator n(m)(s) of the reduced model is obtained by matching the first k(1) interval time moments and ka interval Markov parameters of the reduced model with that of the original uncertain system such that k(1) + k(2) = r. A numerical example illustrates the proposed procedure.