Simplified Polynomial Derivative Technique for the Reduction of Large-Scale Interval Systems

Abstract

A new method for generating low order models for large-scale interval systems using simplified polynomial derivative technique is proposed. New algorithms are developed for obtaining the numerator and denominator polynomials of the reduced order model which also retain the steady state response characteristics of the original high order interval system in its low order model, unlike existing methods [1,2]. The method is computationally simple avoiding the necessity of formation of long Routh-type differentiation arrays and reciprocal transformations and always retains stability of the original system in the low-order models, unlike the existing methods [3-5]. Typical numerical examples illustrating the proposed method are provided.

Indexing terms:

• Control systems
• Large-scale systems
• Interval systems
• Modelling
• Reduced order models

Additional information

Notes on contributors

G V K R Sastry

GVKR Sastry got his BE (Electrical Engg) and ME (Control Systems) degrees from Andhra University, Visakhapatnam in 1974 and 1977 respectively. He received his PhD in System Engg from Anna University, Chennai in 1991. Dr Sastry joined Electrical Engg Department of Andhra University in 1977 as Senior Research Fellow of CSIR and became Assistant Professor in 1979 and Associate Professor in 1987. Presently he is Professor of Electrical Engg in Andhra University. He published many of his research papers in various National and International Journals and got more than 75 research papers in Journals and Conferences. He is on the panel of referees of International Journals. His areas of interest are Control Systems, Modeling and Design of Large Scale Systems & Non-Linear Systems etc.

G Raja Rao

G Raja Rao obtained his BE (Electrical Engg) and ME (PSA) degrees from Andhra University in 1990 and 1996 respectively. He joined as lecturer in Electrical Engg Department of SRKR Engineering College, Bhimavaram, Andhra Pradesh in 1990 and presently he is Professor of Electrical Engg, SRKR Engg College, Bhimavaram. He has research publications in International and National Journals and Conferences. His areas of interest are Control Systems, Large Scale Systems, Model Reduction and Power Systems.