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Stochastic optimal time-delay control of quasi-integrable Hamiltonian systems

✍ Scribed by Ju Feng; Wei-Qiu Zhu; Zhong-Hua Liu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
408 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

A nonlinear stochastic optimal time-delay control strategy for quasi-integrable Hamiltonian systems is proposed. First, a stochastic optimal control problem of quasi-integrable Hamiltonian system with time-delay in feedback control subjected to Gaussian white noise is formulated. Then, the time-delayed feedback control forces are approximated by the control forces without time-delay and the original problem is converted into a stochastic optimal control problem without time-delay. After that, the converted stochastic optimal control problem is solved by applying the stochastic averaging method and the stochastic dynamical programming principle. As an example, the stochastic time-delay optimal control of two coupled van der Pol oscillators under stochastic excitation is worked out in detail to illustrate the procedure and effectiveness of the proposed control strategy.

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