文献类型：期刊文献

英文题名：Nonlinear stochastic optimal bounded control of hysteretic systems with actuator saturation

作者：Huan, Rong-hua[1];Zhu, Wei-qiu[1];Wu, Yong-jun[2]

机构：[1]Zhejiang Univ, State Key Lab Fluid Power Transmiss & Control, Dept Mech, Hangzhou 310027, Peoples R China;[2]E China Univ Sci & Technol, Coll Informat Sci & Engn, Shanghai 200237, Peoples R China

年份：2008

卷号：9

期号：3

起止页码：351

外文期刊名：JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A

收录：;EI(收录号：20080811114151);WOS:【SCI-EXPANDED(收录号:WOS:000253192400008)】；

语种：英文

外文关键词：hysteretic system; stochastic averaging; optimal control; dynamical programming; actuator saturation

摘要：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 Ito 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 Ito equation. Numerical results show that the proposed control strategy has high control effectiveness and efficiency.