Distributed Observers for LTI Systems with Finite Convergence Time: A Parameter Estimation-based Approach

2020/05/26 by Ortega, Romeo, Nuño, Emmanuel, Bobtsov, Alexei · 1 citation
#Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2005.12940

Abstract

A novel approach to solve the problem of distributed state estimation of linear time-invariant systems is proposed in this paper. 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 a Hamiltonian walk. The scheme is shown to be robust vis-á-vis external disturbances and communication delays.

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