Frequency Domain Design of Multivariable Control Systems

摘要

The main objectives of this project were to use frequency domain formulations to establish new theoretical results in multivariable control system synthesis and to obtain computational algorithms to aid in the implementation of the theory for control system design. A general formulation and solution was obtained to the linear multivariable regulator problem, a problem of considerable practical importance, and two new algorithms were developed for computing with polynomial matrices. These algorithms, one for factoring polynomial matrices and one for computing unimodular matrices and their inverses are of general interest in linear system theory and are not restricted only to control system applications. It was concluded that frequency domain formulations of linear multivariable control problems are a more natural formulation than the state-space formulations of the past and the computational problems which initially appeared so formidable will soon become routine. A technical description of the project and results are presented.