Model Order Reduction of High Order LTI System Using Balanced Truncation Approximation

Most of the mathematical model of industrial applications have very high order, implementation and computation of such system is complicated and time consuming so there is an increasing need for obtaining suitable low order approximations of such systems. Low order models result in several advantages such as reduction in computational complexity and easy analysis of original system structure. This paper proposes a numerically efficient model order reduction method using balanced truncation for high order Linear Time Invariant(LTI) systems. Most important feature of this method is that it provides a bound of the infinity norm of approximation error, using Henkel singular values. This bound is very useful in performance evaluation. The simulation result shows the effectiveness of the proposed scheme to obtain the stable 8^th order reduced model from a stable 20^th order original system with minimum error bound.