Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics

Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics

Sudden cardiac death (SCD) represents a critical public health challenge, emphasizing the need for predictive techniques that model complex physiological dynamics. Studies indicate that the “V-trough” pattern in sympathetic nerve activity (SNA) could act as an early indicator of potentially fatal ca...

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Bibliographic Details
Main Authors: Rafael F. Pinheiro, Diego Colón, Alexandre Antunes, Rui Fonseca-Pinto
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Eng
Subjects:
Lurie type system
control systems
automation
cardiology
heart diseases
robust control
Online Access:https://www.mdpi.com/2673-4117/6/5/89
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Summary:Sudden cardiac death (SCD) represents a critical public health challenge, emphasizing the need for predictive techniques that model complex physiological dynamics. Studies indicate that the “V-trough” pattern in sympathetic nerve activity (SNA) could act as an early indicator of potentially fatal cardiac events, which can be effectively modeled using a modified version of Chua’s chaotic system, incorporating the variables of heart rate (HR), SNA, and blood pressure (BP). This paper introduces a Chua circuit with delay, and proposes a novel control design technique based on Lurie-type control systems theory combined with mixed-sensitivity <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="script">H</mi><mo>∞</mo></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mo>/</mo><mi>K</mi><mi>S</mi><mo>/</mo><mi>T</mi></mrow></semantics></math></inline-formula>) methodology. The proposed controller enables precise regulation of HR in Chua’s circuit, both with and without delay, paving the way for the development of advanced devices capable of preventing SCD. Furthermore, the developed theory allows for the project of robust controllers for delayed Lurie systems within the single-input–single-output (SISO) framework. The presented theoretical framework, supported by numerical simulations, demonstrates the effectiveness of the conceptualization, marking a considerable advance in the understanding and early intervention of SCD through robust and nonlinear control systems.
ISSN:2673-4117

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