Distributed partial state estimation for linear state-space systems

TL;DR

This paper develops a rank-based criterion for partial state estimation in distributed linear systems, providing a simple design method and demonstrating its effectiveness through a numerical example.

Contribution

It establishes a necessary and sufficient rank condition for distributed partial state estimation in LTI systems, along with a straightforward design algorithm.

Findings

The rank criterion guarantees the feasibility of partial state estimation.

The proposed method is applicable to directed, balanced, strongly connected, or undirected, connected communication graphs.

Numerical example confirms the effectiveness of the theoretical results and design approach.

Abstract

This study is concerned with the problem of partial state estimation for linear time-invariant (LTI) distributed state-space systems. A necessary and sufficient condition is established in terms of a simple rank criterion involving the system coefficient matrices, provided the communication graph is either directed, balanced and strongly connected or undirected and connected. The estimator parameter matrices are obtained by simple matrix theory. Finally, a numerical example demonstrates the feasibility and effectiveness of the proposed theoretical results and design algorithm.