Reliable Computation of Rectangular System Templates to Prescribed Accuracy

Abstract

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.

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P S V Nataraj

Paluri S V Nataraj obtained his BTech in Chemical Engineering from Regional Engineering College, Warangal in 1979 and MTech and PhD from IIT Madras in process dynamics and control in 1981 and 1987. He then worked in the CAD center at IIT Bombay for about one and half years before joining the faculty of the systems and control engineering group at IIT Bombay in 1988. His current research interests are in the areas of robust, nonlinear control, control and reliable computing. He has published more than twenty-five papers in variuos international conferences and reputed journals. He has also guided several Masters and Doctoral students in these areas.