A stochastically averaged optimal control strategy for quasi-Hamiltonian systems with actuator saturation

被引：23

作者：

Ying, Z. G. ^{[1
]}

Zhu, W. Q. ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Mech, State Key Lab Fluid Power Transmiss & Control, Hangzhou 310027, Peoples R China

来源：

AUTOMATICA | 2006年 / 42卷 / 09期

基金：

中国国家自然科学基金;

关键词：

nonlinear quasi-Hamiltonian system; stochastic excitation; stochastic averaging; saturated optimal control; dynamical programming;

D O I：

10.1016/j.automatica.2006.04.023

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A stochastic optimal control strategy for quasi-Hamiltonian systems with actuator saturation is proposed based on the stochastic averaging method and stochastic dynamical programming principle. First, the partially completed averaged Ito stochastic differential equations for the energy processes of individual degree of freedom are derived by using the stochastic averaging method for quasi-Hamiltonian systems. Then, the dynamical programming equation is established by applying the stochastic dynamical programming principle to the partially completed averaged Ito equations with a performance index. The saturated optimal control consisting of unbounded optimal control and bounded bang-bang control is determined by solving the dynamical programming equation. Numerical results show that the proposed control strategy significantly improves the control efficiency and chattering attenuation of the corresponding bang-bang control. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1577 / 1582

页数：6

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