Stability Analysis of Network of Similar-Plants via Feedback Network

TL;DR

This paper introduces a novel feedback network optimization approach for similar linear plants in networked control systems, utilizing the master stability function to minimize feedback network complexity and outperform existing methods.

Contribution

The paper proposes a new optimization method based on the master stability function to reduce feedback network order in similar-plant control systems, improving upon existing techniques.

Findings

The proposed method effectively minimizes feedback network order.

It outperforms the matching condition in feedback network optimization.

Numerical examples validate the superiority of the approach.

Abstract

Here, we study a networked control system with similar linear time-invariant plants. Using master stability function method we propose a network optimization method to minimize the feedback network order in the sense Frobenius norm. Then we verify our results with numerical example. We show that this method outperforms the known feedback network optimization methods namely matching condition.