Design And Analysis Of Synchronization Algorithm For Coronary Artery Time-delay Syste

Considering the high incidence of coronary artery disease,this paper mainly studies the chaotic synchronization problem of coronary artery time-delay system.The chaotic state of the coronary artery system refers to the rapid,slow or irregular heartbeat caused by the sudden pressure and occlusion of the coronary artery during the operation of the heart.Coronary artery is a muscular blood vessel that supplies blood to the heart.Once the blood vessel enters a chaotic state,it will cause myocardial infarction,and the myocardium cannot contract and relax normally due to insufficient oxygen and energy supply,causing diseases.Therefore,the research on the synchronization of the coronary artery system is of great significance.Combined with the existing research,this article mainly studies the synchronization of the coronary artery system from two aspects.In the actual research process,due to the different time for different patients to absorb drugs,there will be a time-delay problem in the coronary artery system.The existence of time-delay will lead to instability of the coronary artery system,and degrade the performance of the system,and bring great difficulties to the stability analysis of the system and the design of the controller.In addition,affected by external factors such as patient mood fluctuations and drug duration,the difficulty of chaotic synchronization of the system is even more increased.Considering the above situation,construct a mathematical model of coronary artery,and reduce the conservativeness of the system by constructing a suitable L-K functional and using integral inequality to deal with the integral term in the functional derivative.For the coronary artery time-delay system,a function based on the intermediate polynomial is introduced,which reduces the conservativeness of the system without increasing the computational complexity;constructs the L-K functional with triple integral to include more time-delay information,and further reduce the conservativeness of the system;then use the second-order Bessel-Legendre integral inequality and Wirtinger double integral inequality to scale the integral term,and get a result with less conservativeness than before.Aiming at the difficulty in constructing an accurate mathematical model of the coronary artery system,the T-S fuzzy model can approximate complex nonlinear systems with arbitrary accuracy.The synchronization control problem of the coronary artery time-delay system based on the T-S fuzzy model is studied.According to the characteristics of the T-S fuzzy model,based on the parallel distributed compensation scheme,a feedback controller with and without memory is designed to effectively realize the synchronization problem of the system.Combining the Wirtinger integral inequality and a new double integral inequality,the integral term after the derivation is processed,and a less conservative stability criterion is given.