Distributed Observers for LTI Systems

Distributed Observers for LTI Systems

We consider the problem of distributed state estimation of a linear time-invariant (LTI) system by a network of sensors. We develop a distributed observer that guarantees asymptotic reconstruction of the state for the most general class of LTI systems, sensor network topologies and sensor measurement structures. Our analysis builds upon the following key observation a given node can reconstruct...

A Class of LTI Distributed Observers for LTI Plants: Necessary and Sufficient Conditions for Stabilizability

Consider that an autonomous linear time-invariant (LTI) plant is given and that a network of LTI observers assesses its output vector. The dissemination of information within the network is dictated by a pre-specified directed graph in which each vertex represents an observer. Each observer computes its own state estimate using only the portion of the output vector accessible to it and the stat...

Resilient Distributed State Estimation for LTI Systems

Consider a linear time-invariant (LTI) dynamical system monitored by a network of sensors, modeled as nodes of an underlying directed communication graph. We study the problem of collaboratively estimating the state of the system when certain nodes are compromised by adversarial attacks. Specifically, we consider a Byzantine adversary model, where a compromised node possesses complete knowledge...

Distributed Fuzzy and Stochastic Observers for Nonlinear Systems

Hybrid Regenerating Codes for Distributed Storage Systems

Distributed storage systems are mainly justified due to their ability to store data reliably over some unreliable nodes such that the system can have long term durability. Recently, regenerating codes are proposed to make a balance between the repair bandwidth and the storage capacity per node. This is achieved through using the notion of network coding approach. In this paper, a new variation ...