Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

Sign In to gain access to subscriptions and/or personal tools.
Journal of Vibration and Control
This Article
Right arrow Full Text (OnlineFirst PDF)
Right arrow All Versions of this Article:
1077546308094248v1
15/4/567    most recent
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow Request Reprints
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by Lee, J.-B.
Right arrow Articles by Heo, H.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati   Add to Twitter  
What's this?

Article

A Stochastic Controller Design Using an Approximate Solution of FPK Equation

Jong-Bok Lee1, Yun-Hyun Cho2, In-Beom Yang3, Il-Kwan Ko4, D.C. Kwon5, and Hoon Heo6*

1 Automotive Electronics Research and Development Center, Hyundai Motors, 772–1, Jangduk-Dong, Hwaseong-Si, Gyeonggi-Do, 445–706, Korea
2 Shinho-Systems, Ssangyoung Tower, Sangdaewon-Dong, Chungwon-Gu, Sungnam-Si, Gyeonggo-Do, Korea
3 Center for Intelligent Vehicle Control System, Korea Automotive Technology Institute, 74 Youngjung-Ri, Pungse-Myun, Choonan-Si, Chungnam 330–912, Korea
4 Department of Control and Instrumentation Engineering, Korea University, 5Ka, Anam-Dong, Sungbuk-Gu, Seoul, 136–701, Korea
5 Main R&D Center, Hankook Tire, 23-1, Jang-Dong, Yusung-Gu, Daejeon, Korea
6 Department of Control and Instrumentation Engineering, Korea University, 5Ka, Anam-Dong, Sungbuk-Gu, Seoul, 136–701, Korea (heo257@korea.ac.kr)

* To whom correspondence should be addressed.


  Abstract

The Fokker-Planck-Kolmogorov (FPK) equation is a powerful tool with Markovian response for analyzing dynamic systems. In this study we consider the design of a stochastic controller using FPK for a system subjected to a wide band random disturbance with constant power spectral density. The time-domain dynamic system equation is transformed into a general dynamic statistical moment equation in the stochastic domain via the FPK equation. The system transformation cannot be realized in real time. In order to improve stochastic controller design in real time, a new method of designing a stochastic controller and its implementation are proposed. The practical efficiency of the proposed method using the approximate probability density function is verified via numerical simulation.

Key Words: FPK Equation, stochastic controller, numerical simulation

First published on February 4, 2009, doi:10.1177/1077546308094248

Journal of Vibration and Control 2009;15:567.

A more recent version of this article appeared on April 1, 2009

Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati   Add to Twitter Twitter    What's this?