Approximate Aggregation Matrix for Reduced Models Based on Continued Fraction Approach

Abstract

In many applications, it is desirable to have a relationship between the states of the original system and its reduced order model. This relationship in terms of aggregation matrix depends upon the method used for obtaining the reduced model. The method of model reduction considered in this paper uses the continued fraction approach and gives good approximation to transient as well as the steady-state response of the original system. A general recursive algorithm for determining the approximate aggregation matrix is presented. For the simpler case, when the original system is represented in phase-variable canonical form, the approximate aggregation matrix has been derived. An example is given for the purpose of illustration.

Indexing Terms:

• Aggregation
• Model Reduction
• Simplification of Systems
• Continued Fraction Expansion

Additional information

Notes on contributors

R.K. Tiwari

Rajesh Kumar Tiwari was born on 20 January, 1951 at Moth, India. He received his BTech in Electrical Engineering in 1972 from G.B. Pant University of Agriculture & Technology, Pantnagar (Nainital), India. He did his ME in Electrical Engg. in 1974 from Indian Institute of Science, Bangalore, India. He served as lecturer in Electrical Engg. Department, Punjab Engineering College, Chandigarh, from July 1974 to July, 1975. Since July, 1975 he is working as Assistant Professor in Electronics & Electrical Communication Engg. Department, Punjab Engineering College, Chandigarh (India), where he teaches subjects related to Digital Electronics, Computers and Microprocessors.

He has published several research papers in the areas of circuits, systems and reliability. His current interests include microprocessors and its applications in different areas.