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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MDPI AG
2025-04-01
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| author | Rafael F. Pinheiro Diego Colón Alexandre Antunes Rui Fonseca-Pinto |
| author_facet | Rafael F. Pinheiro Diego Colón Alexandre Antunes Rui Fonseca-Pinto |
| author_sort | Rafael F. Pinheiro |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4e13b129503f499a9669251a6ab4cdc7 |
| institution | OA Journals |
| issn | 2673-4117 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
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| series | Eng |
| spelling | doaj-art-4e13b129503f499a9669251a6ab4cdc72025-08-20T02:33:48ZengMDPI AGEng2673-41172025-04-01658910.3390/eng6050089Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit DynamicsRafael F. Pinheiro0Diego Colón1Alexandre Antunes2Rui Fonseca-Pinto3Center for Innovative Care and Health Technology (ciTechCare), School of Health Sciences (ESSLei), Polytechnic University of Leiria, 2414-016 Leiria, PortugalLaboratory of Automation and Control (LAC), Telecommunications and Control Department, Polytechnic School, University of São Paulo, São Paulo 05508-010, BrazilCenter for Innovative Care and Health Technology (ciTechCare), School of Health Sciences (ESSLei), Polytechnic University of Leiria, 2414-016 Leiria, PortugalCenter for Innovative Care and Health Technology (ciTechCare), School of Health Sciences (ESSLei), Polytechnic University of Leiria, 2414-016 Leiria, PortugalSudden 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.https://www.mdpi.com/2673-4117/6/5/89Lurie type systemcontrol systemsautomationcardiologyheart diseasesrobust control |
| spellingShingle | Rafael F. Pinheiro Diego Colón Alexandre Antunes Rui Fonseca-Pinto Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics Eng Lurie type system control systems automation cardiology heart diseases robust control |
| title | Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics |
| title_full | Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics |
| title_fullStr | Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics |
| title_full_unstemmed | Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics |
| title_short | Lurie Control Systems Applied to the Sudden Cardiac Death Problem Based on Chua Circuit Dynamics |
| title_sort | lurie control systems applied to the sudden cardiac death problem based on chua circuit dynamics |
| topic | Lurie type system control systems automation cardiology heart diseases robust control |
| url | https://www.mdpi.com/2673-4117/6/5/89 |
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