文献类型：期刊文献

英文题名：Stochastic optimal bounded control of MDOF quasi nonintegrable-Hamiltonian systems with actuator saturation

作者：Huan, Ronghua[1];Wu, Yongjun[2];Zhu, Weiqiu[1]

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

年份：2009

卷号：79

期号：2

起止页码：157

外文期刊名：ARCHIVE OF APPLIED MECHANICS

收录：;EI(收录号：20090411867816);WOS:【SCI-EXPANDED(收录号:WOS:000262311000006)】；

基金：The work reported in this paper was supported by the National Natural Science Foundation of China under Key Grant No. 10332030 and Grant No. 10772159, the Research Fund for Doctoral Program of Higher Education of China under Grant No. 20060335125, and the Foundation of East China University of Science and Technology for Outstanding Young Teachers No. YH0157105.

语种：英文

外文关键词：Nonlinear system; Stochastic averaging; Optimal control; Dynamical programming; Actuator saturation

摘要：A new bounded optimal control strategy for multi-degree-of-freedom (MDOF) quasi nonintegrable-Hamiltonian systems with actuator saturation is proposed. First, an n-degree-of-freedom (n-DOF) controlled quasi nonintegrable-Hamiltonian system is reduced to a partially averaged ItA ' stochastic differential equation by using the stochastic averaging method for quasi nonintegrable-Hamiltonian systems. Then, a dynamical programming equation is established by using the 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 the optimally controlled system is predicted by solving the Fokker-Planck-Kolmogorov (FPK) equation associated with the fully averaged ItA ' equation. An example of two controlled nonlinearly coupled Duffing oscillators is worked out in detail. Numerical results show that the proposed control strategy has high control effectiveness and efficiency and that chattering is reduced significantly compared with the bang-bang control strategy.