Linear time invariant system order reduction using multipoint step response matching

摘要

The proposed method of linear time invariant system order reduction is based on multipoint step response matching for both pole and zero evaluation of the reduced order system (ROS). Depending on the number of zeros and poles of the ROS, the number of points is selected on the time axis of the unit step response such that the unknown poles and zeros can be determined by solving a set of non-linear equations using Newton's method. Numerous examples have been solved using the proposed technique and the results are encouraging.