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Time averaged consensus in a direct coupled coherent quantum observer network

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Abstract

This paper considers the problem of constructing a direct coupling quantum observer for a closed linear quantum system. The proposed distributed observer consists of a network of quantum harmonic oscillators and it is shown that the observer network converges to a consensus in a time averaged sense in which each element of the observer estimates the specified output of the quantum plant. An example and simulations are included to illustrate the properties of the observer network.

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Authors and Affiliations

  1. Research School of Engineering, The Australian National University, Canberra, ACT 2601, Australia

    Ian R. Petersen

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  1. Ian R. Petersen
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Correspondence to Ian R. Petersen.

Additional information

This work was supported by the Air Force Office of Scientific Research (AFOSR), under agreement number FA2386-16-1-4065. Some of the research presented in this paper was also supported by the Australian Research Council under grant FL110100020.

Ian R. PETERSEN was born in Victoria, Australia. He received a Ph.D in Electrical Engineering in 1984 from the University of Rochester. From 1983 to 1985 he was a Postdoctoral Fellow at the Australian National University. From 1985 until 2016 he was with UNSW Canberra where was most recently a Scientia Professor and an Australian Research Council Laureate Fellow in the School of Engineering and Information Technology. From 2017 he has been a Professor in the Research School of Engineering at the Australian National University. He has served as an Associate Editor for the IEEE Transactions on Automatic Control, Systems and Control Letters, Automatica, and SIAM Journal on Control and Optimization. Currently he is an Editor for Automatica and an Associate Editor for the IEEE Transactions on Control Systems Technology. He is a fellow of IFAC, the IEEE and the Australian Academy of Science. His main research interests are in robust control theory, quantum control theory and stochastic control theory.

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Petersen, I.R. Time averaged consensus in a direct coupled coherent quantum observer network. Control Theory Technol. 15, 163–176 (2017). https://doi.org/10.1007/s11768-017-7019-8

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  • DOI: https://doi.org/10.1007/s11768-017-7019-8

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