Distributed Estimation of Dynamical Systems: A Structural Analysis.
Distributed estimation is where a network of agents is tasked to estimate the state of a
dynamical system. Agents only communicate over a sparse communication network. Recently,
consensus-based estimation has been proposed as a distributed solution of this problem
where the agents implement a large number of information exchanges between every two
successive time-steps of the system... read moredynamics. For optimal performance, this
consensus-based estimator requires a consensus to be reached first. When the network is
unable to implement a consensus due to, e.g., resource-constraints or faster system
dynamics, distributed solutions have been proposed with single-time information
exchanges. In this scenario both system dynamics and distributed estimator evolve at the
same time-scale. This scenario requires the system to be observable at every
estimator/agent, implying the new concept of distributed observability. Given this
background, this thesis is devoted to (1) formulation of distributed observability in
single-time scale estimation, (2) partitioning the necessary set of state measurements
based on their role in distributed observability, and (3) characterization of necessary
and sufficient connectivity of the underlying communication network topology among the
agents. Employing structure-based generic methodology instead of algebraic approaches
motivates application in power systems and social
Thesis (Ph.D.)--Tufts University, 2015.
Submitted to the Dept. of Electrical Engineering.
Advisor: Usman Khan.
Committee: Brian Tracy, Carlo Fischione, Alexander Stankovic, and Jason Rife.
Keywords: Electrical engineering, and Mathematics.read less