A new strategy based on balanced gains for optimal linear system reduction

A method involving the balanced gains of a linear system and an optimization procedure is developed in order to obtain a reduced-order model from a high-order linear system. The proposed model order reduction procedure is compared through some examples with other classical and modern techniques and is found to have good properties, particularly with regard to the frequency error at both low and high frequencies. The algorithm appears to be very fast and numerically stable for high-order systems, as well. The method can be generalized for the approximation of multiple-input-multiple output (MIMO) systems by formalizing the optimization procedure in the time domain instead of using the frequency-domain approach