Title
A Hybrid Observer For A Distributed Linear System With A Changing Neighbor Graph
Abstract
A hybrid observer is described for estimating the state of an m > 0 channel, n-dimensional, continuous-time, linear system of the form <(x)over dot> = Ax, y(i) = C(i)x, i is an element of {1, 2, ... , m}. The system's state x is simultaneously estimated by m agents assuming each agent i senses y(i) and receives appropriately defined data from each of its current neighbors. Neighbor relations are characterized by a time-varying directed graph N(t) whose vertices correspond to agents and whose arcs depict neighbor relations. Agent i updates its estimate x(i) of x at "event times" t(1), t(2), ... using a local continuous-time linear observer and a local parameter estimator which for each j >= 1, iterates q times during the time interval [t(j-1), t(j)) to obtain an estimate of x(t(j)). Subject to the assumptions that none of the C-i are zero, the neighbor graph N(t) is strongly connected for all time, and the system whose state is to be estimated is jointly observable, it is shown that for any number lambda > 0 it is possible to choose q and the local observer gains so that each estimate x(i) converges to x as fast as e(-lambda t) converges to zero.
Year
DOI
Venue
2017
10.1109/cdc.2017.8263792
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
DocType
Volume
ISSN
Conference
abs/1706.04235
0743-1546
Citations 
PageRank 
References 
1
0.35
4
Authors
4
Name
Order
Citations
PageRank
Lili Wang118610.46
A. Stephen Morse24285588.67
Daniel Fullmer323.07
Ji Liu414626.61