Multivariable Systems Model Reduction: A LMI Approach

  • Mojtaba Fanoodi Shahid Beheshti University (SBU)
  • Mahdi Pourgholi
Keywords: model order reduction; Multi input Multi output (MIMO) system; reduced order model (ROM); convex optimization; linear matrix inequality (LMI).

Abstract

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.

References

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Published
2019-04-09
Section
Articles