冠状动脉系统建模及其高阶滑模控制研究

项目名称： 冠状动脉系统建模及其高阶滑模控制研究

项目编号： No.61503280

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 赵占山

作者单位： 天津工业大学

项目金额： 20万元

中文摘要： 非线性科学与生物医学工程的结合极大的推动生物医药领域的研究。由于心脑血管疾病死亡率占居人口总死亡率首位，有必要研究冠状动脉系统数学模型揭示系统内部机制。本项目建立改进的冠状动脉系统模型，定性和定量分析混沌动态特性，去探索发现系统走向混沌的过程和出现混沌时相应参变量状态。因为血管参数的变化会引起不同的非线性特点，如血管痉挛或者心肌梗死，所以，了解其非线性特性抑制有害的混沌行为显得至关重要。冠状动脉系统存在动态不确定和未知参数条件下设计高阶滑模自适应控制器；当执行机构控制信号受到硬约束时会导致吸能性能下降甚至不稳定，设计抗饱和高阶滑模控制器提高稳定性能；当心脑血管疾病病人对药物吸收各有不同时，研究冠状动脉时滞系统高阶滑模控制算法理论。从理论上验证处于血管痉挛时的运动可以与正常血管运动达到混沌同步，为有效防治和治疗心肌梗死和血管痉挛等疾病提供一定的理论依据及参考，最后采用虚拟仿真进行算法验证。

中文关键词： 冠状动脉系统；混沌；高阶滑模控制；抗饱和控制；时滞系统

英文摘要： Nonlinear science combined with biomedical engineering has yielded major advances in many areas of biological and medical research. The death rate of cardio and cerebrovascular diseases are the leading in all causes of deaths of residents. So, it is necessary to study the coronary artery system mathematical models to reveal the internal mechanism of the system. Firstly, it establishes a improved biomathema-tical model of coronary artery system. A qualitative and quantitative method will be used to analysis characteristics of chaotic dynamics which will find the way to chaos and the states of related variables when being at chaos．Due to the nonlinear differences between changes in vessel diameter, the behaviors of this system are highly complex in diseases such as vasospasm and myocardial infarction. Therefore, understanding its nonlinear behavior and suppressing undesired chaotic motion in coronary artery systems when it occurs are essential tasks. A higher order sliding mode adaptive control method is used to design a chaos suppression controller to tracking the control problem of chaotic coronary systems with dynamic uncertainties and unknown parameters. Hard constraints on the inputs can lead to performance degradation and even instability. Anti-windup control based on high order sliding control provides a method for resisting this performance degradation and helping to avoid the onset of instability. A higher order sliding mode control method is used to design a chaos suppression controller to deal with the control problem of chaotic coronary time-delay systems when the patients of cardio and cerebrovascular diseases are in drug absorption. From theory, the proposed controller drives the abnormal system to synchronize with the normal system despite different initial conditions and external disturbances. Finaly, it provides a theoretical basis and reference on prevention and curing some disease such as myocardial infarction and vasospasm. Finally a virtual simulation is build to verification the effectiveness of the proposed method.

英文关键词： Coronary Artery System;Chaos;High Order Sliding Mode Control ;Anti-windup Control;Time-delay system