Robust model matching control of immune systems under environmental disturbances: Dynamic game approach
Robust model matching control of immune systems under environmental disturbances: Dynamic game approach
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DOI：
10.1016/j.jtbi.2008.04.024
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发表时间：
2008-08-21
影响因子：
2
通讯作者：
Chuang, Yung-Jen
中科院分区：
文献类型：
--
作者：
Chen, Bor-Sen;Chang, Chia-Hung;Chuang, Yung-Jen
提出了一种免疫反应的鲁棒模型匹配控制，用于在不确定的初始状态和环境干扰（包括外源性病原体的连续入侵）下匹配指定的免疫反应的治疗增强。最坏情况下的影响，所有可能的环境干扰和不确定的初始状态的匹配所需的免疫反应被最小化的增强型免疫系统，即一个强大的控制被设计为跟踪规定的免疫模型响应从极小极大匹配的角度来看。这个极小极大匹配问题在这里可以转化为一个等价的动态博弈问题。外源性病原体和环境干扰被认为是最大化（恶化）匹配误差的参与者，当治疗控制年龄时;其被认为是最小化匹配误差的另一个参与者。由于先天免疫系统是高度非线性的，直接用非线性动态博弈方法求解鲁棒模型匹配控制问题并不容易。提出了一种模糊模型，通过光滑的模糊隶属函数，在不同的工作点插值几个线性免疫系统来逼近先天免疫系统。利用模糊逼近方法，通过线性矩阵不等式（LMI）技术，借助Matlab中的鲁棒控制程序，提出了一种模糊动态博弈方法，可以方便地解决免疫系统的极小极大匹配控制问题。最后，在二氧化硅的例子来说明设计过程，并确认所提出的方法的效率和功效。(C)2008爱思唯尔有限公司保留所有权利。
A robust model matching control of immune response is proposed for therapeutic enhancement to match a prescribed immune response under uncertain initial states and environmental disturbances, including continuous intrusion of exogenous pathogens. The worst-case effect of all possible environmental disturbances and uncertain initial states on the matching for a desired immune response is minimized for the enhanced immune system, i.e. a robust control is designed to track a prescribed immune model response from the minimax matching perspective. This minimax matching problem could herein be transformed to an equivalent dynamic game problem. The exogenous pathogens and environmental disturbances are considered as a player to maximize (worsen) the matching error when the therapeutic control age;its are considered as another player to minimize the matching error. Since the innate immune system is highly nonlinear, it is not easy to solve the robust model matching control problem by the nonlinear dynamic game method directly. A fuzzy model is proposed to interpolate several linearized immune systems at different operating points to approximate the innate immune system via smooth fuzzy membership functions. With the help of fuzzy approximation method, the minimax matching control problem of immune systems could be easily solved by the proposed fuzzy dynamic game method via the linear matrix inequality (LMI) technique with the help of Robust Control Toolbox in Matlab. Finally, in silica examples are given to illustrate the design procedure and to confirm the efficiency and efficacy of the proposed method. (C) 2008 Elsevier Ltd. All rights reserved.