Distributed Observers for LTI Systems With Finite Convergence Time: A Parameter-Estimation-Based Approach

• 成果类型: Article
• 署名作者: Ortega, Romeo; Nuno, Emmanuel; Bobtsov, Alexey
• 署名单位: Instituto Tecnologico Autonomo de Mexico; ITMO University; Universidad de Guadalajara
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3046611
• 发表日期: 2021
• 页码: 4967-4974
• 关键词: convergence; sensors; observers; Sensor systems; TOPOLOGY; Parameter Estimation; observability; distributed estimation; distributed observers; finite convergence; LTI systems

摘要

A novel approach to solve the problem of distributed state estimation of linear time-invariant systems is proposed in this article. It relies on the application of parameter-estimation-based observers, where the state observation task is reformulated as a parameter estimation problem. In contrast with existing results, our solution achieves convergence in finite time, without injection of high gain, and imposes very weak assumptions on the communication graph-namely, the existence of an open Hamiltonian walk. It is shown that this assumption is strictly weaker than the usual strong connectivity requirement. The scheme is shown to be robust vis-a-vis external disturbances and communication delays.