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Proceedings Paper

Nonclipping optimal control of randomly excited nonlinear systems using semi-active ER/MR dampers
Author(s): Zuguang Ying; Yi-Qing Ni; Jan Ming Ko
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Paper Abstract

A stochastic optimal control strategy for randomly excited nonlinear systems using semi-active electro-rheological/magneto-rheological (ER/MR) dampers is developed based on the stochastic averaging method, stochastic dynamical programming, and variational principle. The control force of ER/MR dampers is separated into passive part and controllable part. The passive part is incorporated into the uncontrollable terms and the stochastic averaging method is applied to the system with controllable damping force to yield a diffusion process of system energy along with It* stochastic differential equations. Then the stochastic dynamical programming principle is applied to the controlled energy process to establish a dynamical programming equation. According to the variational principle, optimal control force is obtained from the dynamical programming equation under the constraint that ER/MR dampers are only able to exert dissipative forces. Because the requirement of dissipative control force is directly enforced as a constraint condition in the variational formula, the resulting control force is a generalized damping force and always implementable by ER/MR dampers without clipping. An example is given to illustrate the application and effectiveness of the proposed non-clipping semi-active control method.

Paper Details

Date Published: 28 June 2002
PDF: 10 pages
Proc. SPIE 4696, Smart Structures and Materials 2002: Smart Systems for Bridges, Structures, and Highways, (28 June 2002); doi: 10.1117/12.472556
Show Author Affiliations
Zuguang Ying, Zhejiang Univ. and Hong Kong Polytechnic Univ. (Hong Kong)
Yi-Qing Ni, Hong Kong Polytechnic Univ. (Hong Kong)
Jan Ming Ko, Hong Kong Polytechnic Univ. (Hong Kong)


Published in SPIE Proceedings Vol. 4696:
Smart Structures and Materials 2002: Smart Systems for Bridges, Structures, and Highways
S.-C. Liu; Darryll J. Pines, Editor(s)

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