A Distributed Luenberger Observer for Linear State Feedback Systems With Quantized and Rate-Limited Communications

• 成果类型: Article
• 署名作者: Rego, Francisco Castro; Pu, Ye; Alessandretti, Andrea; Aguiar, A. Pedro; Pascoal, Antonio M.; Jones, Colin N.
• 署名单位: Universidade de Coimbra; Universidade de Lisboa; Universidade do Porto; University of Melbourne; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3027658
• 发表日期: 2021
• 页码: 3922-3937
• 关键词: Linear system observers; network analysis and control; quantized consensus; quantized systems; sensor networks

摘要

This article addresses the problem of simultaneous distributed state estimation, and control of linear systems with linear state feedback, subjected to process, and measurement noise, under the constraints of quantized, and rate-limited network data transmission. In the set-up adopted, sensors and actuators communicate through a network with a strongly connected topology. Unlike the case of centralized linear systems, for which the separation principle holds, the above practical assumption prevents the separate design of observers, and controller because each of the nodes does not necessarily have access to the control inputs generated at all the other nodes. We derive a linear distributed Luenberger observer, and a set of sufficient conditions that guarantee ultimate boundedness of the estimation error, and system state vectors, with bounds that depend on the L-infinity norm of the noise signals, and the number of bits used in the transmissions. A numerical example illustrates the performance and effectiveness of the proposed algorithm in controlling a network of open-loop unstable systems.