Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 718913, 17 pages
http://dx.doi.org/10.1155/2012/718913
Research Article

High-Order Stochastic Adaptive Controller Design with Application to Mechanical System

Jie Tian,1,2 Wei Feng,3 and Yuzhen Wang1

1School of Control Science and Engineering, Shandong University, Shandong 250100, China
2School of Science, Shandong Jianzhu University, Shandong 250101, China
3College of Information Science and Engineering, Shandong Agriculture University, Taian 271018, China

Received 30 October 2011; Accepted 29 November 2011

Academic Editor: Xue-Jun Xie

Copyright © 2012 Jie Tian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The main purpose of this paper is to apply stochastic adaptive controller design to mechanical system. Firstly, by a series of coordinate transformations, the mechanical system can be transformed to a class of special high-order stochastic nonlinear system, based on which, a more general mathematical model is considered, and the smooth state-feedback controller is designed. At last, the simulation for the mechanical system is given to show the effectiveness of the design scheme.