RESEARCH AND APPLICATION OF THE OPTIMAL HANKEL NORM APPROXIMATION ALGORITHM FOR REDUCING THE ORDER OF HIGH-ORDER MIMO SYSTEMS

Abstract

The Optimal Hankel Norm Approximation (OHkNA) algorithm plays an important role in reducing the order of the Multi-Input Multi-Output (MIMO) systems. By reducing the order of the system, the OHkNA algorithm simplifies the system's design and performance. One of the advantages of OHkNA is its ability to achieve a good balance between the reduction of the system order and the preservation of its important features. In order to verify its effectiveness, we have studied and applied this algorithm to a 4-input, 4-output MIMO system of order 14, and the simulation results were analyzed. The results indicate that the system reduces to order 8 and exhibits good response in both time and frequency domains. Additionally, the error of order reduction is very small, indicating that the Optimal Hankel Norm Approximation algorithm is an efficient method for reducing the order of the MIMO system. Overall, the algorithm's ability to reduce the order of the MIMO system while maintaining system performance makes it a valuable tool in the field of control engineering, signal processing, simulation, and communication systems.