A Stochastic Controller Design Using an Approximate Solution of FPK Equation-Reference-Cited by-同舟云学术

A Stochastic Controller Design Using an Approximate Solution of FPK Equation

Published:2009-02-04 Issue:4 Volume:15 Page:567-581
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Lee J.B.¹,Cho Y.H.²,Yang I.B.³,Ko I.K.⁴,Kwon D.C.⁵,Heo H.⁶

Affiliation:

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,

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.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546308094248

Reference27 articles.

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3. Approximate solution of the Fokker–Planck–Kolmogorov equation

4. A consistent method for the solution to reduced FPK equation in statistical mechanics

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