Control of stationary probability density of nonlinear systems subject to Poisson white noise excitation-Reference-Cited by-同舟云学术

Control of stationary probability density of nonlinear systems subject to Poisson white noise excitation

Published:2012-10-23 Issue:3 Volume:20 Page:323-329
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Zhu CX¹,Zhu WQ¹²

Affiliation:

1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, P. R. China

2. Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, P. R. China

Abstract

An innovative design procedure for controlling a nonlinear system subject to Poisson white noise excitation to target a specified stationary probability density function is proposed based on the approximate generalized Fokker–Planck–Kolmogorov equation of a Poisson-white-noise-excited nonlinear system. First, the technique for deriving the generalized Fokker–Planck–Kolmogorov equation of the Poisson-white-noise-excited nonlinear system is briefly reviewed. Then, the approach for designing the feedback control of nonlinear stochastic systems under Poisson white noise excitations to target a pre-specified stationary probability density function is presented. Finally, an example is given to illustrate the procedure and effectiveness of the proposed control strategy.

Publisher

SAGE Publications

Subject

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

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546312464261

Reference17 articles.

1. Non-linear stochastic control via stationary response design

2. Control design for first-order processes: shaping the probability density of the process state

3. Probabilistic control design for continuous-time stochastic nonlinear systems: a PDF-shaping approach

4. Robust PDF control with guaranteed stability for non-linear stochastic systems under modelling errors

5. Stochastic Optimal Control of Quasi Integrable Hamiltonian Systems Subject to Actuator Saturation

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