| 受有毒物质影响的广义生物系统的变结构控制 |
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| 引用本文： | 刘娅,赵立纯,刘敬娜,黄玉洁. 受有毒物质影响的广义生物系统的变结构控制[J]. 系统工程学报, 2012, 27(2): 145-151 |
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| 作者姓名： | 刘娅 赵立纯 刘敬娜 黄玉洁 |
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| 作者单位： | 1. 辽宁师范大学数学学院,辽宁大连116029;鞍山师范学院数学系,辽宁鞍山114007
2. 鞍山师范学院数学系,辽宁鞍山,114007 |
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| 基金项目： | 国家自然科学基金金资助项目(60974004);辽宁省自然科学基金资助项目(20092179) |
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| 摘 要： | 根据营养动力学和生态毒理学原理建立了一个受环境中有毒物质影响的广义生物系统模型,基于模型非负平衡点的生物含义,提出了一个既使环境中有毒物质浓度降低到不危害模型中种群生存的程度,又使种群在其最大密度值附近持续生存的理想平衡点,根据变结构控制原理,设计控制器使模型在短时间内跟踪且稳定于该平衡点,最后,通过数值模拟验证模型的有效性.
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| 关 键 词： | 营养动力学 生物富集 广义系统 变结构控制 跟踪 |
Variable structure control of a singular biological system with the influence of toxic substances |
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| LIU Ya , ZHAO Li-chun , LIU Jing-na , HUANG Yu-jie. Variable structure control of a singular biological system with the influence of toxic substances[J]. Journal of Systems Engineering, 2012, 27(2): 145-151 |
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| Authors: | LIU Ya ZHAO Li-chun LIU Jing-na HUANG Yu-jie |
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| Affiliation: | 1.College of Mathematics,Liaoning Normal University,Dalian 116029,China; 2.Department of Mathematics,Anshan Normal University,Anshan 114007,China ) |
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| Abstract: | According to the principles of nutrition dynamics and ecotoxicology,this paper proposes a singular model of biological system with the influence of toxic substances in the environment.Based on the biological interpretations of non-negative equilibria of the model,an ideal equilibrium is given,at which toxic substances in the environment cannot harm the population and population is persistent around its maximum density.Using the principles of variable structure control,a controller is designed to track the ideal equilibrium and make the model stable around the equilibrium in a short time.Finally,the numeral simulations are carried out to prove the results. |
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| Keywords: | nutrition dynamics bioconcentration singular system variable structure control tracking |
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