Control of linear plants with zeros and slowly varying parameters

Abstract

A reduction of order technique is developed which is useful in controller design for single-input, single-output, linear plants which have transfer functions with zeros and parameters which vary slowly compared to the response time of the plant. The controller design is based on a Liapunov-like method and employs a model reference. The reduction of order technique allows the control signal to be generated from the plant output and only its firstn-m-1derivatives if the plant transfer function has annth order denominator and anmth order numerator and if the transfer function hasmknown fixed poles.