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STOCHASTIC OPTIMAL CONTROL OF STRONGLY NONLINEAR SYSTEMS UNDER WIDE-BAND RANDOM EXCITATION WITH ACTUATOR SATURATION
  • ISSN号：0894-9166
  • 期刊名称：《固体力学学报：英文版》
  • 时间：0
  • 分类：O175.1[理学—数学;理学—基础数学] TV697.11[水利工程—水利水电工程]
  • 作者机构：[1]Department of Mechanics, Zhejiang University, Hangzhou 310027, China, [2]College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Nos. 10332030 and 10772159） and Research Fund for doctoral Program of Higher Education of China （No. 20060335125）.
作者： Changshui Feng Weiqiu Zhu[1]
关键词： 随机动态规划, 执行器饱和, 哈密顿系统, 振动控制, 准非线性, 动态规划方程, 非线性系统, 随机平均法, nonlinear system, random excitations, optimal control, partially observation, actuator saturation
中文摘要：

为有致动器浸透的部分可见的非线性的伪 Hamiltonian 系统的最佳的颤动控制策略被建议。首先，一控制了部分可见的非线性的系统由于 Charalambous 和 Elliott 基于定理被变换成有限尺寸的一个完全可见的线性控制系统。然后部分平均它随机的微分方程和动态编程方程与完全可见的线性系统联系了的 ^ o 被分别地使用随机的平均方法和随机的动态编程原则导出。最佳的控制法律从解决最后的动态编程方程被获得。结果证明建议控制策略有高控制有效性和控制效率。

英文摘要：

An optimal vibration control strategy for partially observable nonlinear quasi Hamiltonian systems with actuator saturation is proposed. First,a controlled partially observable non-linear system is converted into a completely observable linear control system of finite dimension based on the theorem due to Charalambous and Elliott. Then the partially averaged It stochastic differential equations and dynamical programming equation associated with the completely observable linear system are derived by using the stochastic averaging method and stochastic dynamical programming principle,respectively. The optimal control law is obtained from solving the final dynamical programming equation. The results show that the proposed control strategy has high control effectiveness and control effciency.

同期刊论文项目
非线性随机动力学与控制的哈密顿理论体系及其应用
期刊论文 259 会议论文 23
非高斯随机激励下多自由度非线性系统随机动力学
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期刊信息
  • 《固体力学学报：英文版》
  • 主管单位:
  • 主办单位:中国力学学会
  • 主编：郑泉水
  • 地址：武汉市珞喻路1037号华中科技大学南一楼西北508室
  • 邮编：430074
  • 邮箱：amss@mail.hust.edu.cn
  • 电话：027-87543737
  • 国际标准刊号：ISSN：0894-9166
  • 国内统一刊号：ISSN：42-1121/O3
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:133