화학공학소재연구정보센터
International Journal of Control, Vol.70, No.4, 651-664, 1998
Real robustness bounds using generalized stability multipliers
Sufficient conditions for robust stability using generalized stability multipliers are presented for systems with sector- and norm-bounded, block-structured real uncertainty. Two parametrizations of the multiplier are considered and the robustness criteria are written as linear matrix inequalities. Upper bounds for the peak structured singular value over frequency, which eliminate frequency gridding, are then derived. Numerical examples provide a comparison of the peak upper bounds obtained using the two multiplier parametrizations. These examples show that the conservatism of the peak upper bounds is reduced by increasing the dynamic order of the multiplier.