| 一类随机系统的概率密度函数形状控制 |
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| 引用本文： | 杨恒占,钱富才,高嵩,江涛.一类随机系统的概率密度函数形状控制[J].系统工程理论与实践,2016,36(9):2424-2431. |
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| 作者姓名： | 杨恒占 钱富才 高嵩 江涛 |
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| 作者单位： | 1. 西安理工大学 自动化与信息工程学院, 西安 710048;2. 西安工业大学 自主无人系统研究中心, 西安 710021;3. 西安卫星测控中心 航天器在轨故障诊断与维修重点实验室, 西安 710043 |
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| 基金项目： | 陕西省科技攻关项目（2016GY-108）；陕西省教育厅专项科研计划（16JK1364）；航天器在轨故障诊断与维修重点实验室开放课题（SDML-OF2015004）；国家自然科学基金（61273127） |
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| 摘 要： | 本文提出了一种非线性随机系统稳态响应的概率密度函数形状控制方法.首先利用FPK方程确立了概率密度函数指数部分的Taylor展开项系数与系统控制增益间的关系,然后将概率密度函数的形状控制问题转化为一个非线性跟踪优化问题,最后针对该优化问题设计了相应的粒子群优化算法,获得了最优控制增益.仿真结果验证了本文方法的有效性.
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| 关 键 词： | 概率密度函数控制 Taylor展开 粒子群优化算法 |
| 收稿时间： | 2015-06-17 |
The shape control of probability density function for a class of stochastic systems |
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| YANG Hengzhan,QIAN Fucai,GAO Song,JIANG Tao.The shape control of probability density function for a class of stochastic systems[J].Systems Engineering —Theory & Practice,2016,36(9):2424-2431. |
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| Authors: | YANG Hengzhan QIAN Fucai GAO Song JIANG Tao |
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| Institution: | 1. School of Automation and Information Engineering, Xi'an University of Technology, Xi'an 710048, China;2. Research Center of Autonomous Unmanned Systems, Xi'an Technological University, Xi'an 710021, China;3. Key Laboratory of Spacecraft In-orbit Fault Diagnosis and Repair, Xi'an Satellite Control Center, Xi'an 710043, China |
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| Abstract: | A probability density function control algorithm is presented for a class of nonlinear stochastic systems excited by Gaussian white noise in this paper. Firstly, the relationship between the Taylor series expansion coefficients of the probability density exponential function and the control gain is derived through FPK equation. Then, an optimization problem is given for the aim to track the target probability density function. The optimization solution is obtained using the particle swarm optimization algorithm finally. The examples show the effectiveness of the proposed method. |
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| Keywords: | probability density function control Taylor series expansion particle swarm optimization algorithm |
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