# Distributed functional observers for LTI systems

@article{Mitra2017DistributedFO, title={Distributed functional observers for LTI systems}, author={Aritra Mitra and Shreyas Sundaram}, journal={2017 IEEE 56th Annual Conference on Decision and Control (CDC)}, year={2017}, pages={3519-3524} }

We study the problem of designing distributed functional observers for LTI systems. Specifically, we consider a setting consisting of a state vector that evolves over time according to a dynamical process. A set of nodes distributed over a communication network wish to collaboratively estimate certain functions of the state. We first show that classical existence conditions for the design of centralized functional observers do not directly translate to the distributed setting, due to the…

## 3 Citations

### Distributed Observers for LTI Systems

- Computer Science, MathematicsIEEE Transactions on Automatic Control
- 2018

A distributed observer is developed that guarantees asymptotic reconstruction of the state for the most general class of LTI systems, sensor network topologies, and sensor measurement structures and is possible to construct a simpler version of the proposed distributed observer that achieves the same objective while admitting a fully distributed design phase.

### On the Existence and Design of Functional Observers

- MathematicsIEEE Transactions on Automatic Control
- 2020

By introducing the controllability and stabilizability notions, the necessary and sufficient conditions for the existence of these observers are revised and proved, and they complete those presented in the article by Darouach in 2000.

### Discrete-time linear functional observer design using a direct approach

- Mathematics2020 4th International Conference on Advanced Systems and Emergent Technologies (IC_ASET)
- 2020

This work addresses the observer-based feedback controller design problem for linear time-invariant systems. Here, only the discrete case will be detailed. The proposed functional observer design…

## References

SHOWING 1-10 OF 14 REFERENCES

### Distributed Observers for LTI Systems

- Computer Science, MathematicsIEEE Transactions on Automatic Control
- 2018

A distributed observer is developed that guarantees asymptotic reconstruction of the state for the most general class of LTI systems, sensor network topologies, and sensor measurement structures and is possible to construct a simpler version of the proposed distributed observer that achieves the same objective while admitting a fully distributed design phase.

### Design of Distributed LTI Observers for State Omniscience

- MathematicsIEEE Transactions on Automatic Control
- 2017

A distributed estimation scheme that is a natural generalization of consensus in which each observer computes its own state estimate of the plant using only the portion of the output vector accessible to it and the state estimates of other observers that, according to the graph, are available to it.

### An approach for distributed state estimation of LTI systems

- Mathematics2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
- 2016

This paper extends the idea of the Kalman observable canonical decomposition to a setting with multiple sensors, and develops an estimation scheme that achieves asymptotic state reconstruction at each node of the network for the most general class of LTI systems, sensor network topologies and sensor measurement structures.

### A practical functional observer scheme for interconnected time-delay systems

- MathematicsInt. J. Control
- 2015

This paper proposes a partially distributed functional observer scheme for a class of interconnected linear systems with very strong non-instantaneous subsystems interaction and with time delays in…

### Secure distributed observers for a class of linear time invariant systems in the presence of Byzantine adversaries

- Mathematics, Computer Science2016 IEEE 55th Conference on Decision and Control (CDC)
- 2016

This work develops a secure distributed estimation strategy subject to an f-locally bounded Byzantine adversary model, where a compromised node can arbitrarily deviate from the rules of any prescribed algorithm.

### On the Existence and Design of Functional Observers for Linear Systems

- Mathematics2007 International Conference on Mechatronics and Automation
- 2007

Darouach [1] recently derived necessary and sufficient conditions for the existence and stability of functional observers with an order, p, equals to the dimension m of the vectors to be estimated.…

### Collaborative scalar-gain estimators for potentially unstable social dynamics with limited communication

- Computer ScienceAutom.
- 2014

### Distributing the Kalman Filter for Large-Scale Systems

- Computer Science, MathematicsIEEE Transactions on Signal Processing
- 2008

A distributed Kalman filter to estimate the state of a sparsely connected, large-scale, n -dimensional, dynamical system monitored by a network of N sensors is presented and the proposed algorithm achieves full distribution of the Kalman Filter.

### Existence Conditions for Functional Observability From an Eigenspace Perspective

- MathematicsIEEE Transactions on Automatic Control
- 2011

Two theorems on conditions for nonexistence and for existence, of built functional observers, from an eigenspace perspective are presented and proved and the connection between the concept of Functional Observability and the well known concept of State Observability is presented.

### Distributed Kalman Filter with Embedded Consensus Filters

- MathematicsProceedings of the 44th IEEE Conference on Decision and Control
- 2005

This paper shows that a central Kalman filter for sensor networks can be decomposed into n micro-Kalman filters with inputs that are provided by two types of consensus filters, and demonstrates that these filters can approximate these sums and give an approximate distributed Kalman filtering algorithm.