Multivariable Systems Model Reduction: A LMI Approach

This paper investigates a novel technique for Model Order Reduction (MOR) in Multi Input Multi Output (MIMO) systems. The problem of finding a Reduced Order Model (ROM) has been investigated by solving an H_∞ optimization problem as an equal convex optimization procedure. The reduced order model approximation derives out by simply solving a series of Linear Matrix Inequalities (LMIs). A comparative study have been made to illustrate the performance and efficiency of the proposed method. The important characteristics of the step response of both main system and its approximation model also have been considered in both time and frequency domain.