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Non-clipping optimal control of randomly excited nonlinear systems using semi-active ER/MR dampers
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 a passive part and a 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 Ito 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.
Non-clipping optimal control of randomly excited nonlinear systems using semi-active ER/MR dampers
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 a passive part and a 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 Ito 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.
Non-clipping optimal control of randomly excited nonlinear systems using semi-active ER/MR dampers
Ying, Z.G. (author) / Ni, Y.Q. (author) / Ko, J.M. (author)
2002
10 Seiten, 22 Quellen
Conference paper
English
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