| 肌型血管生物数学模型的自适应Backstepping控制设计 |
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| 引用本文： | 贡崇颖,李医民,孙曦浩.肌型血管生物数学模型的自适应Backstepping控制设计[J].生物数学学报,2007,22(3):503-508. |
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| 作者姓名： | 贡崇颖 李医民 孙曦浩 |
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| 作者单位： | 江苏大学理学院,数学系,江苏,镇江,212003 |
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| 基金项目： | 国家自然科学基金;江苏大学高级人才项目 |
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| 摘 要： | 提出了基于Backstepping自适应控制方法研究医学上容易引发心肌梗塞等疾病的血管痉挛，即肌型血管生物数学模型的受控问题．设计了一个自适应控制器，使系统的状态量都渐近稳定到0，并使系统全局稳定，从理论上得出处于混沌运动状态的血管能趋于正常化，对有效防治和治疗心肌梗塞等疾病具有重要的意义．最后的仿真结果表明了此方法在理论上的有效性．
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| 关 键 词： | 肌型血管 Backstepping方法 自适应 血管痉挛 |
| 文章编号： | 1001-9626（2007）03-0503-06 |
| 收稿时间： | 2005-10-25 |
| 修稿时间： | 2005年10月25 |
Adaptive Backstepping Control of the Biomathematical Model of Muscular Blood Vessel |
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| GONG Chong-ying,LI Yi-min,SUN Xi-hao.Adaptive Backstepping Control of the Biomathematical Model of Muscular Blood Vessel[J].Journal of Biomathematics,2007,22(3):503-508. |
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| Authors: | GONG Chong-ying LI Yi-min SUN Xi-hao |
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| Institution: | Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212003 China |
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| Abstract: | In this paper, we use the adaptive control method based on backstepping to study the control problem on the vasospasm, i.e., the biomathematical model of muscular blood vessel, which aroses diseases such as miocardial infarction and so on. An adaptive controller is designed, which made every state of system to asymptotically regulate to zero and system is stable globally. From theory we can see that the vessel in a chaos state would approach normality, which has significance on curing miocardial infarction. Simulation results are conducted to show the effectiveness of this method. |
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| Keywords: | Muscular blood vessel Backstepping Adaptive Vasospasm |
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