Generalized Approach for Approximating Linear Time-Invariant Systems

Abstract

A direct method of approximating linear systems is first proposed involving a similarity transformation. A simple method of obtaining transformation matrix is also presented. A method of generalized matrices is then proposed which eliminates even the similarity transformations, and can also be extended to approximate multiple-input multiple-output systems. The principal advantage of this method is its simplicity and saving in computation.

Indexing Terms:

• System Reduction
• Approximation
• Transformation Matrix
• Linear Systems

Additional information

Notes on contributors

V. Krishnamurthi

KRISHNAMURTHI, V: Graduated from the University of Madras in 1956 in telecommunication engineering. From 1957 to 1965, he was with the Department of Electrical Engineering, Annamalai University as Lecturer and Reader. In 1962 awarded MSc (Eng) degree. In 1965, joined the Department of Electronics and Communication Engineering, College of Engineering, Guindy as Assistant Professor. He has published a book on ‘Computational Methods—Analog and Digital’. In 1971, was appointed Assistant Professor in Electronics at Government College of Technology, Coimbatore. In 1975, was deputed to IIT Madras for PhD Work under QIP Scheme. Since September 1976, he is Professor of Electronics and Communication Engineering, College of Engineering, Madras.