A New Method for Modelling of Large Scale Interval Systems

Abstract

In recent years, simulation, design and control of systems with parametric uncertainties for the entire range of operation gained much importance. This paper presents a new method for reducing order of Large Scale Interval systems. The proposed method involves simple computations, and is efficient as it needs the formulation of only one Routh type tabulation, avoiding the necessity of formulating two tables viz., γ and δ tables, and avoids the computation of time moments of the original high order Interval system beforehand, unlike other available methods [1,2]. The proposed Simplified Routh Approximation method (SRAM) always generates stable reduced order Interval systems, retaining the initial time moments of the original high order system. The proposed simplified method is extended for the reduction of high order Multivariable and Discrete Interval systems to overcome the limitations and drawbacks of some of the existing methods [1,2] in literature. Typical numerical examples are considered to illustrate the flexibility and effectiveness of the proposed method.

Indexing terms:

• Control systems
• Model reduction
• Large scale systems modelling
• Interval systems

Additional information

Notes on contributors

P Mallikarjuna Rao

P Mallikarjuria Rao got his BE (Electrical Engg) and ME (Control Systems) degrees from Andhra University in 1994 and 1996 respectively. He joined as Assistant Professor in Department of Electrical Engg College of Engineering, GITAM, Visakha-patnam (Andhra Pradesh) in 1996. Presently he is working as Assistant Professor in Electrical Engg Department, College of Engg, GITAM. He has publications in various National and International Journals and Conferences. His areas of interest are Control Systems, Modeling and Design of Large Scale Systems, Interval systems.