A Stochastic Averaging Approach for Feedback Control Design of Nonlinear Systems Under Random Excitations-Reference-Cited by-同舟云学术

A Stochastic Averaging Approach for Feedback Control Design of Nonlinear Systems Under Random Excitations

Published:2002-09-20 Issue:4 Volume:124 Page:561-565
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Elbeyli O.¹,Sun J. Q.¹

Affiliation:

1. Department of Mechanical Engineering, University of Delaware, Newark, DE 19716

Abstract

This paper presents a method for designing and quantifying the performance of feedback stochastic controls for nonlinear systems. The design makes use of the method of stochastic averaging to reduce the dimension of the state space and to derive the Ito^ stochastic differential equation for the response amplitude process. The moment equation of the amplitude process closed by the Rayleigh approximation is used as a means to characterize the transient performance of the feedback control. The steady state and transient response of the amplitude process are used as the design criteria for choosing the feedback control gains. Numerical examples are studied to demonstrate the performance of the control.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/124/4/561/5827288/561_1.pdf

Reference26 articles.

1. Brockett, R. W., and Liberzon, D., 1998, “On Explicit Steady-State Solutions of Fokker-Planck Equations for a Class of Nonlinear Feedback Systems,” Proceedings of American Control Conference, pp. 264–268.

2. Wang, R., and Yasuda, K., 1999, “Exact Stationary Response Solutions of Nine Classes of Nonlinear Stochastic Systems Under Stochastic Parametric and External Excitations,” Proceedings of 1999 ASME Design Engineering Technical Conferences, pp. 1–15.

3. Caughey, T. K., and Ma, F., 1982, “Exact Steady-State Solution of a Class of Non-Linear Stochastic Systems,” International Journal of Non-Linear Mechanics, Int. J. Non-Linear Mech., 17, pp. 137–142.

4. Caughey, T. K., and Ma, F., 1982, “Steady-State Response of a Class of Dynamical Systems to Stochastic Excitation,” ASME J. Appl. Mech., 49, pp. 629–632.

5. Wang, R., and Yasuda, K., 1997, “Exact Stationary Probability Density for Second Order Non-Linear Systems Under External White Noise Excitation,” J. Sound Vib. 205, pp. 647–655.

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