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Journal of Systems Science and Complexity

, Volume 32, Issue 2, pp 526–541 | Cite as

Control for a Class of Stochastic Mechanical Systems Based on the Discrete-Time Approximate Observer

  • Xinxin Fu
  • Yu KangEmail author
  • Pengfei Li
  • Peilong Yu
Article
  • 26 Downloads

Abstract

This paper investigates the observer-based control problem of a class of stochastic mechanical systems. The system is modelled as a continuous-time Itô stochastic differential equation with a discrete-time output. Euler-Maruyama approximation is used to design the discrete-time approximate observer, and an observer-based feedback controller is derived such that the closed-loop nonlinear system is exponentially stable in the mean-square sense. Also, the authors analyze the convergence of observer error when the discrete-time approximate observer servers as a state observer for the exact system. Finally, a simulation example is used to demonstrate the effectiveness of the proposed method.

Keywords

Approximate model discrete-time observer exponential stability stochastic nonlinear system 

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Copyright information

© The Editorial Office of JSSC & Springer-Verlag GmbH Germany 2019

Authors and Affiliations

  1. 1.Department of AutomationUniversity of Science and Technology of ChinaHefeiChina

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