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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (3): 351-357    DOI: 10.1631/jzus.A071275
Civil & Mechanical Engineering     
Nonlinear stochastic optimal bounded control of hysteretic systems with actuator saturation
Rong-hua HUAN, Wei-qiu ZHU, Yong-jun WU
Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; College of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
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Abstract  A modified nonlinear stochastic optimal bounded control strategy for random excited hysteretic systems with actuator saturation is proposed. First, a controlled hysteretic system is converted into an equivalent nonlinear nonhysteretic stochastic system. Then, the partially averaged Itô stochastic differential equation and dynamical programming equation are established, respectively, by using the stochastic averaging method for quasi non-integrable Hamiltonian systems and stochastic dynamical programming principle, from which the optimal control law consisting of optimal unbounded control and bang-bang control is derived. Finally, the response of optimally controlled system is predicted by solving the Fokker-Planck-Kolmogorov (FPK) equation associated with the fully averaged Itô equation. Numerical results show that the proposed control strategy has high control effectiveness and efficiency.

Key words： Hysteretic system      Stochastic averaging      Optimal control      Dynamical programming      Actuator saturation     
Received: 29 May 2007      Published: 27 December 2007
CLC:  TB1  
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Rong-hua HUAN
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Yong-jun WU
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Rong-hua HUAN, Wei-qiu ZHU, Yong-jun WU. Nonlinear stochastic optimal bounded control of hysteretic systems with actuator saturation. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(3): 351-357.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A071275     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I3/351

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