IEEE Transactions on Automatic Control, Vol.39, No.6, 1268-1273, 1994
An Algorithm for Computing Value Sets of Uncertain Transfer-Functions in Factored Real Form
An algorithm is given for the fast computation Of the value sets of uncertain transfer functions, including parametric uncertainty in factored real form and multiplicative unstructured uncertainty. The uncertain parameters are assumed to belong to compact intervals. Elementary value sets are computed for each factor. Vector addition and edge detection in the logarithmic complex plane are used to compute the complete value set. The algorithm is meant for robust control system design.
Keywords:FREQUENCY-RESPONSE;SYSTEMS