Circuits Syst Signal Process DOI 10.1007/s00034-015-0031-7 A Frequency Limited Interval Gramians-Based Model Reduction Technique with Error Bounds Muhammad Imran 1 · Abdul Ghafoor 1 Received: 8 July 2014 / Revised: 13 March 2015 / Accepted: 14 March 2015 © Springer Science+Business Media New York 2015 Abstract A balanced model reduction technique that is based on frequency limited interval Gramians is proposed. The technique provides stable models and also yields frequency response error bounds. Numerical examples are also presented. The results are comparable with other frequency limited interval Gramians-based model reduction techniques. Keywords Model reduction · Limited frequency Gramians · Error bounds 1 Introduction Model reduction is a process of approximating higher-order original models by com- paratively lower-order models with reasonable accuracy in order to provide ease in design, modeling and simulation for large complex systems [8, 11, 13, 14]. Model reduction techniques tend to retain essential properties of the original system (includ- ing input output behavior and stability) and yield reduced order models with low approximation error. The balanced truncation [7] is one of the most commonly used model reduction techniques because it yields reduced order models which are not only stable but also produce easily computable error bounds [1]. Ideally balanced truncation technique B Abdul Ghafoor abdulghafoor-mcs@nust.edu.pk Muhammad Imran m.imran@mcs.edu.pk 1 Department of Electrical Engineering, Military College of Signals, National University of Science and Technology (NUST), Islamabad, Pakistan