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Deep Koopman Controller Synthesis for Cyber-Resilient Market-Based Frequency Regulation

You, Pengcheng and Pang, John and Yeung, Enoch (2018) Deep Koopman Controller Synthesis for Cyber-Resilient Market-Based Frequency Regulation. IFAC-PapersOnLine, 51 (28). pp. 720-725. ISSN 2405-8963. doi:10.1016/j.ifacol.2018.11.790.

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This paper investigates a data-driven countermeasure for price spoofing in the context of cyber security and market-based frequency regulation. Market-based control of transmission power networks relies on cyber-physical infrastructure, which raises questions of system vulnerability in relation to cyber-security. In this paper, we consider the challenge of engineering a robust data-driven controller in the presence of price spoofing, i.e. where hacking mechanisms adjust price signals in an ex-post market. We extend a recently developed algorithm called deep dynamic mode decomposition to learn Koopman operators of nonlinear systems with affine inputs. Based on the learned input-Koopman operator model, a design algorithm for nonlinear controller synthesis is devised to compute optimal dynamic pricing policies that restore the nominal frequency and recover economic efficiency in the presence of price spoofing. The efficacy of the proposed data-driven Koopman controller synthesis approach is validated through tests on a IEEE 39-bus benchmark.

Item Type:Article
Related URLs:
URLURL TypeDescription
You, Pengcheng0000-0003-1532-8773
Pang, John0000-0002-6485-7922
Yeung, Enoch0000-0001-7630-7429
Additional Information:© 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. Available online 12 December 2018.
Subject Keywords:Market-based frequency regulation; input-Koopman operator; data-driven controller synthesis; dynamic feedback control; cyber-security; price spoofing
Issue or Number:28
Record Number:CaltechAUTHORS:20190103-153505394
Persistent URL:
Official Citation:Pengcheng You, John Pang, Enoch Yeung, Deep Koopman Controller Synthesis for Cyber-Resilient Market-Based Frequency Regulation, IFAC-PapersOnLine, Volume 51, Issue 28, 2018, Pages 720-725, ISSN 2405-8963, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92061
Deposited By: George Porter
Deposited On:04 Jan 2019 00:00
Last Modified:16 Nov 2021 03:46

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