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An Engineering Approach to Model-Order Reduction and Its Application to Controller Design.

A new method of approximating a high-order system by a lowerorder model in the frequency domain is developed. A reduced-order model of a transfer function obtained by the new method is compared with a reduced-order model obtained by another existing method to illustrate the power of the technique. Furthermore the approximant constructed by this new method is used to design a control system, which is applicable to the plant, to show its usefulness. The thesis also suggests some mathematical criteria for selecting the order of the approximant. This technique is particularly attractive because of its simplic­ ity and versatility. Furthermore, it is applicable to a large group of practical Single Input-Single Output systems' transfer functions.