Research On Chaos Suppression Method Of Coronary Artery System Based On Sliding Mode Control

The chaotic phenomenon means the irregular motion exist in deterministic system.Generally,It usually manifests as the uncertainty,non-repeatability and unpredictability of the system movement.In medicine,coronary artery system is one of the most representative chaotic systems.The chaotic phenomenon of coronary artery systems can lead to serious complications or even threaten human life.First of all,for the bio-mathematical model of the coronary artery system,this article demonstrates the range of lumped parameters when the system is in the chaotic region from the aspects of state response,phase trajectory,bifurcation diagram,information entropy and numerical variance,these intuitively show the chaotic behavior of the system.On this basis,a set of representative lumped parameters of the chaotic region were determined,which are used as control model parameters.By understanding the nonlinear dynamic characteristics of coronary artery system,an adaptive gain super-twisting sliding mode method is used to design the chaotic synchronization controller in this paper.It can achieve almost zero error tracking of response system and drive system in a limited time.For the non-matching uncertainty in the system,the nonlinear disturbance observer and the extreme learning machine are used to compensate and optimize them based on the super-twisting sliding mode algorithm.Finally,Lyapunov theory is adopted to analyze the stability of the closed-loop systems,and it proves that each system can be stabilized in finite time.Using MATLAB&simulink for simulation,through comparative analysis,it is proved that the designed controllers have good robustness in the presence of uncertain interference,and have good adaptability to unknown parameters.