Rational Approximation of Distributed-Delay Control Laws via Moment-Matching

This paper presents a novel method for approximating distributed-delay (DD) control laws by rational transfer functions. It does so via Moment-Matching (MM). Unlike existing methods, the inherent degrees of freedom in this method offer the designer the ability to preserve closed-loop (CL) properties and assure stability of approximation regardless of its order. A formula for the approximation of the modified Smith predictor is suggested and simulations are presented and compared with some known methods from the literature.

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