Reliable Computation of Rectangular System Templates to Prescribed Accuracy
P. S. V. Nataraj · IETE Technical Review · 2001
An algorithm is proposed for reliable computation of rectangular template enclosures for transfer functions of linear systems with uncertain parameters. The algorithm is developed using tools of interval mathematics. The main feature of the algorithm is its applicability to any transfer function whose magnitude and phase values over the given parameter ranges are (i) bounded, and (ii) can be found using a digital computer. It is shown that a machine interval arithmetic implementation of the algorithm accounts for all kinds of computational errors, and generates reliable values for the magnitude and phase intervals of the template. The algorithm is demonstrated on a seven parameter non-rational nuclear reactor example having multiple transport lags and highly correlated nonlinear parameter dependencies.