Optimal Synchronization for Networks of Noisy Double Integrators

In this technical note, we present a novel synchronization protocol to synchronize a network of controlled discrete-time double integrators which are nonidentical, with unknown model parameters and subject to additive measurement and process noise. This framework is motivated by the typical problem...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 56; no. 5; pp. 1146 - 1152
Main Authors Carli, R, Chiuso, A, Schenato, L, Zampieri, S
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.05.2011
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Applied sciences
Clocks
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Double integrators
Eigenvalues and eigenfunctions
Exact sciences and technology
Graphs
Networked control systems
Networks
Noise
Optimization
Optimized production technology
Protocols
Software
Strategy
Studies
Synchronism
Synchronization
wireless sensor networks
Additive noise
Networked control systems
wireless sensor networks
Connected graph
Randomized algorithm
Clock
Synchronization
Modeling
Steady state
Discrete time
Distributed control
Integrator
Wireless network
Communication graph
Sensor array
Non directed graph
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2011.2107051

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Summary:In this technical note, we present a novel synchronization protocol to synchronize a network of controlled discrete-time double integrators which are nonidentical, with unknown model parameters and subject to additive measurement and process noise. This framework is motivated by the typical problem of synchronizing a network of clocks whose speeds are nonidentical and are subject to variations. This synchronization protocol is formally studied in its synchronous implementation. In particular, we provide a completely distributed strategy that guarantees convergence for any undirected connected communication graph and we also propose an optimal design strategy when the underlaying communication graph is known. Moreover, this protocol can be readily used to study the effect of noise and external disturbances on the steady-state performance. Finally, some simulations including also randomized implementation of the proposed algorithm are presented.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2011.2107051