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Distributed State Estimation With Deep
Neural Networks for Uncertain Nonlinear
Systems Under Event-Triggered
Communication
Abstract
This work explores the distributed state estimation problem for an uncertain,
nonlinear, and continuous-time system. Given a sensor network, each agent
is assigned a deep neural network (DNN) that is used to approximate the
system's dynamics. Each agent updates the weights of their DNN through a
multiple timescale approach, i.e., the outer layer weights are updated online
with a Lyapunov-based gradient descent update law, and the inner layer
weights are updated concurrently using a supervised learning strategy. To
promote the efficient use of network resources, the distributed observer uses
event-triggered communication. A nonsmooth Lyapunov analysis
demonstrates that the distributed event-triggered observer achieves uniformly
ultimately bounded state reconstruction. A simulation example of a five-agent
sensor network estimating the state of a two-link robotic manipulator tracking
a desired trajectory is provided to validate the result and showcase the
performance improvements afforded by DNNs.

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  • 1. Distributed State Estimation With Deep Neural Networks for Uncertain Nonlinear Systems Under Event-Triggered Communication Abstract This work explores the distributed state estimation problem for an uncertain, nonlinear, and continuous-time system. Given a sensor network, each agent is assigned a deep neural network (DNN) that is used to approximate the system's dynamics. Each agent updates the weights of their DNN through a multiple timescale approach, i.e., the outer layer weights are updated online with a Lyapunov-based gradient descent update law, and the inner layer weights are updated concurrently using a supervised learning strategy. To promote the efficient use of network resources, the distributed observer uses event-triggered communication. A nonsmooth Lyapunov analysis demonstrates that the distributed event-triggered observer achieves uniformly ultimately bounded state reconstruction. A simulation example of a five-agent
  • 2. sensor network estimating the state of a two-link robotic manipulator tracking a desired trajectory is provided to validate the result and showcase the performance improvements afforded by DNNs.