Order Reduction in Linear Dynamical Systems by Using Improved Balanced Realization Technique

• Published in: Circuits, systems, and signal processing Vol. 38; no. 11; pp. 5289 - 5303
• Main Authors: Prajapati, Arvind Kumar, Prasad, Rajendra
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.11.2019; Springer Nature B.V
• Subjects: Approximation; Circuits and Systems; Electrical Engineering; Electronics and Microelectronics; Engineering; Instrumentation; Mathematical models; Model reduction; Short Paper; Signal,Image and Speech Processing; Time response; Controllability and observability; Steady-state value; Model order reduction; Lyapunov theorem; Large-scale systems
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-019-01109-x

In this article, a new model order reduction scheme is proposed for the simplification of large-scale linear dynamical models. The proposed technique is based on the balanced realization method, in which the steady-state gain problem of the balanced truncation is circumvented. In this method, the denominator coefficients of the reduced system are evaluated by using the balanced realization, and the numerator coefficients are obtained by using a simple mathematical procedure as given in the literature. The proposed technique has been illustrated through some standard large-scale systems. This method gives the least performance error indices compared to some other existing system reduction methods. The time response of the approximated system, evaluated by the proposed method, is also shown which is the excellent matching of the response of the actual model when compared to the responses of other existing techniques.