Journal
IECON 2021 - 47TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY
Volume -, Issue -, Pages -Publisher
IEEE
DOI: 10.1109/IECON48115.2021.9589510
Keywords
set-theoretic methods; invariant sets; Kalman filter; load frequency control; automatic generation control; cyber attack
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Funding
- European Union from the European Regional Development Fund via Operational Programme Competitiveness and Cohesion 20142020 for Croatia through the project Center of competencies for cyber-security of control systems (CEKOM SUS) [KK.01.2.2.03.0019]
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This work outlines the non-conservative set-based characterization of Kalman filter state estimation error under bounded disturbances, with a focus on application in cyber-attack detection. The minimal robust positively invariant sets correspond to the least conservative characterization, demonstrating correct and non-conservative estimation error localization.
Non-conservative set-based characterization of Kalman filter state estimation error under the influence of bounded disturbances acting on the system under consideration is needed to analyze the corresponding control system performance comprehensively. One important newly rising application of such error characterization is also in cyber-attack detection. This work outlines how the estimation error set characterization is performed by relying on set-theoretic methods in control. In particular, minimal robust positively invariant sets correspond to the smallest such sets and thus represent their least conservative characterization. The procedure is applied to the automatic generation control problem in an exemplary electrical transmission grid configuration with two control areas. A simulation study is performed under a random sequence of bounded disturbances of production-consumption mismatch and frequency/power measurement noises to demonstrate the correct and non-conservative estimation error localization.
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