Please wait, while we are loading the content...
Please wait, while we are loading the content...
| Content Provider | Springer Nature Link |
|---|---|
| Author | Wang, Lingzhi Qian, Fucai |
| Copyright Year | 2016 |
| Abstract | In this paper, we propose a shape-control scheme for non-linear stochastic dynamical systems to enable us to shape the probability density function (PDF) of the state variable. First, we derive the PDF analytical expression using the Fokker-Planck-Kolmogorov (FPK) equation obtained from stochastic systems. Then, we control the PDF shape by devising a piecewise linear control law whose parameters are calculated using the conjugated gradient method. Finally, we perform contrast simulation experiments to validate the effectiveness and superiority of the proposed algorithm.与传统的均值和方差控制方法相比, 本文提出了一种状态变量的概率密度函数(Probability Density Function, 简称PDF)形状控制方法。我们的研究对象是非线性随机系统, 并且用PDF形状逼近作为性能指标。在过去的PDF形状控制研究中, 由于多项式的灵活性和连续性, 我们一直采用多项式形式作为控制规律, 但这明显增加了计算量和算法的复杂度. 本文设计了一个分段线性控制规律实现PDF形状的控制, 线性控制规律只包含两个系数和一个分段点, 在一定范围内呈现线性特性, 这使得整个算法变得更加简单, 在程序实现时节省运行时间. 线性分段控制尽管已经在文献[22]中研究过, 但本文有三点不同之处: 1、文献中的控制目标是没有考虑测量噪声的的输出PDF, 而本文的控制目标是状态变量的PDF; 2、文献中地稳态PDF是近似的, 而我们解出了一个精确的稳态PDF; 3、尽管我们采用相同的控制结构, 但获取控制器增益的方法是不同的, 我们采用的是共轭梯度法得到了控制器的增益. 对比实验结果表明, 所提出的分段线性控制方法可以有效地控制状态变量的PDF形状, 并且当期望的PDF形状是不对称双峰时, 其控制效果要优于非线性多项式控制. 同时, 不管期望的PDF形状如何, 线性控制方法的运行时间都要比非线性控制方法的短. 仿真实例中的非线性系统是一个强非线性系统, 这说明所提出的控制算法对强非线性系统是有效的. |
| Starting Page | 1 |
| Ending Page | 11 |
| Page Count | 11 |
| File Format | |
| ISSN | 1674733X |
| Journal | Science in China Series : Information Sciences |
| Volume Number | 59 |
| Issue Number | 11 |
| e-ISSN | 18691919 |
| Language | Chinese |
| Publisher | Science China Press |
| Publisher Date | 2016-10-14 |
| Publisher Place | Beijing |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | non-linear stochastic systems probability density function shape control piecewise linear control Fokker-Planck-Kolmogorov (FPK) equation Information Systems and Communication Service |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Science |
National Digital Library of India (NDLI) is a virtual repository of learning resources which is not just a repository with search/browse facilities but provides a host of services for the learner community. It is sponsored and mentored by Ministry of Education, Government of India, through its National Mission on Education through Information and Communication Technology (NMEICT). Filtered and federated searching is employed to facilitate focused searching so that learners can find the right resource with least effort and in minimum time. NDLI provides user group-specific services such as Examination Preparatory for School and College students and job aspirants. Services for Researchers and general learners are also provided. NDLI is designed to hold content of any language and provides interface support for 10 most widely used Indian languages. It is built to provide support for all academic levels including researchers and life-long learners, all disciplines, all popular forms of access devices and differently-abled learners. It is designed to enable people to learn and prepare from best practices from all over the world and to facilitate researchers to perform inter-linked exploration from multiple sources. It is developed, operated and maintained from Indian Institute of Technology Kharagpur.
Learn more about this project from here.
NDLI is a conglomeration of freely available or institutionally contributed or donated or publisher managed contents. Almost all these contents are hosted and accessed from respective sources. The responsibility for authenticity, relevance, completeness, accuracy, reliability and suitability of these contents rests with the respective organization and NDLI has no responsibility or liability for these. Every effort is made to keep the NDLI portal up and running smoothly unless there are some unavoidable technical issues.
Ministry of Education, through its National Mission on Education through Information and Communication Technology (NMEICT), has sponsored and funded the National Digital Library of India (NDLI) project.
| Sl. | Authority | Responsibilities | Communication Details |
|---|---|---|---|
| 1 | Ministry of Education (GoI), Department of Higher Education |
Sanctioning Authority | https://www.education.gov.in/ict-initiatives |
| 2 | Indian Institute of Technology Kharagpur | Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project | https://www.iitkgp.ac.in |
| 3 | National Digital Library of India Office, Indian Institute of Technology Kharagpur | The administrative and infrastructural headquarters of the project | Dr. B. Sutradhar bsutra@ndl.gov.in |
| 4 | Project PI / Joint PI | Principal Investigator and Joint Principal Investigators of the project |
Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon |
| 5 | Website/Portal (Helpdesk) | Queries regarding NDLI and its services | support@ndl.gov.in |
| 6 | Contents and Copyright Issues | Queries related to content curation and copyright issues | content@ndl.gov.in |
| 7 | National Digital Library of India Club (NDLI Club) | Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach | clubsupport@ndl.gov.in |
| 8 | Digital Preservation Centre (DPC) | Assistance with digitizing and archiving copyright-free printed books | dpc@ndl.gov.in |
| 9 | IDR Setup or Support | Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops | idr@ndl.gov.in |
|
Loading...
|