Suppression of chaotic behaviors in a complex biological system by disturbance observer-based derivative-integral terminal sliding mode

Coronary artery systems are a kind of complex biological systems. Their chaotic phenomena can lead to serious health problems and illness development. From the perspective of engineering, this paper investigates the chaos suppression problem. At first, nonlinear dynamics of coronary artery systems are presented. To suppress the chaotic phenomena, the method of derivative-integral terminal sliding mode control is adopted. Since coronary artery systems suffer from uncertainties, the technique of disturbance observer is taken into consideration. The stability of such a control system that integrates the derivative-integral terminal sliding mode controller and the disturbance observer is proven in the sense of Lyapunov. To verify the feasibility and effectiveness of the proposed strategy, simulation results are illustrated in comparison with a benchmark.

[1]  Sun Xi-hao,et al.  Backstepping Control of Synchronization for Biomathematical Model of Muscular Blood Vessel , 2006 .

[2]  Jing Zhang,et al.  State feedback synchronization control of coronary artery chaos system with interval time-varying delay , 2017 .

[3]  Her-Terng Yau,et al.  Chaos suppression control of a coronary artery system with uncertainties by using variable structure control , 2012, Comput. Math. Appl..

[4]  Jörg Raisch,et al.  Online identification and nonlinear control of the electrically stimulated quadriceps muscle , 2005 .

[5]  Chian-Song Chiu,et al.  Finite-time control of DC–DC buck converters via integral terminal sliding modes , 2012 .

[6]  Dibakar Ghosh,et al.  Nonlinear observer-based impulsive synchronization in chaotic systems with multiple attractors , 2010 .

[7]  Aimin Hao,et al.  Robust Optimization-Based Coronary Artery Labeling From X-Ray Angiograms , 2016, IEEE Journal of Biomedical and Health Informatics.

[8]  D. Taggart,et al.  Spasm in Arterial Grafts in Coronary Artery Bypass Grafting Surgery. , 2016, The Annals of thoracic surgery.

[9]  Chao Ma,et al.  Robust formation maneuvers through sliding mode for multi-agent systems with uncertainties , 2018, IEEE/CAA Journal of Automatica Sinica.

[10]  Yongguang Yu,et al.  Chaos synchronization of a unified chaotic system via partial linearization , 2009 .

[11]  Her-Terng Yau,et al.  Chaos Analysis and Synchronization Control of Coronary Artery Systems , 2013 .

[12]  Jing Zhang,et al.  Terminal sliding mode control with self-tuning for coronary artery system synchronization , 2017 .

[13]  Shuzhi Sam Ge,et al.  Direct Adaptive Neural Control for a Class of Uncertain Nonaffine Nonlinear Systems Based on Disturbance Observer , 2013, IEEE Transactions on Cybernetics.

[14]  Ilya Kolmanovsky,et al.  Simple Input Disturbance Observer-Based Control: Case Studies , 2018 .

[15]  Kouichi Ozaki,et al.  Molecular genetics of coronary artery disease , 2015, Journal of Human Genetics.

[16]  José Manoel Balthazar,et al.  On control and synchronization in chaotic and hyperchaotic systems via linear feedback control , 2008 .

[17]  A. Chithra,et al.  Synchronization and chaotic communication in nonlinear circuits with nonlinear coupling , 2017 .

[18]  Zhen Qian,et al.  A Lesion-Specific Coronary Artery Calcium Quantification Framework for the Prediction of Cardiac Events , 2011, IEEE Transactions on Information Technology in Biomedicine.

[19]  Sergio Escalera,et al.  Accurate Coronary Centerline Extraction, Caliber Estimation, and Catheter Detection in Angiographies , 2012, IEEE Transactions on Information Technology in Biomedicine.

[20]  Xi Liu,et al.  Finite-Time Attitude Tracking Control for Spacecraft Using Terminal Sliding Mode and Chebyshev Neural Network , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[22]  Wenlei Li.  Tracking control of chaotic coronary artery system , 2012, Int. J. Syst. Sci..

[23]  Chian-Song Chiu,et al.  Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems , 2012, Autom..

[24]  Zhang Jing,et al.  Chaos synchronization of coronary artery system based on higher order sliding mode adaptive control , 2015 .