欢迎访问《兵工学报》官方网站,今天是

兵工学报 ›› 2006, Vol. 27 ›› Issue (1): 111-115.

• 短文 • 上一篇    下一篇

μ-synthisis方法在结构一声耦合系统鲁棒控制中的应用

胡如夫1,2,崔仲华1,李普2,陈南2   

  1. 1.宁波工程学院交通学院,浙江宁波315016;2.东南大学,江苏南京210096
  • 收稿日期:2005-02-24 上线日期:2014-12-25
  • 通讯作者: 胡如夫
  • 基金资助:
    国家自然科学基金资助项目( 50375027);宁波市青年基金资助项目(2003A62001)

Robust Control of a Structural-Acoustical Coupling System by Using the μ-synthesis Theory

HU Ru-fu1,2, CUI Zhong-hua1, LI Pu2,CHEN Nan2   

  1. 1.University of Technology, Ningbo 315016, Zhejiang, China; 2.Southeastern University, Nanjing 210096, Jiangsu, China
  • Received:2005-02-24 Online:2014-12-25
  • Contact: HU Ru-fu

摘要: 以在工程中普遍存在的封闭空间结构一声耦合系统为对象,基于鲁棒结构奇异值理论,建立了结构一声耦合系统鲁棒主动控制模型,提出了设计鲁棒μ-synthesis。控制器的方法:通过引入虚拟的不确定块,将耦合系统响应性能的问题转化为广义系统的稳定鲁棒性问题,采用标准D-K迭代法求解该增量系统的稳定鲁棒控制器。封闭空间结构一声耦合系统的控制仿真表明,同鲁棒H∞控制结果相比,μ-synthesis方法对模型不确定性具有良好的稳定鲁棒性和性能鲁棒性。同以往的研究相比,新意在于应用μ-synthesis方法设计了结构一声耦含系统鲁棒控制器,以克服H∞控制器的不足。

关键词: 自动控制技术 , 结构一声耦合系统 , μ-synthesis , 鲁棒控制 , 有源结构声控制

Abstract: Based on the μ-synthesis theory, a robust control model of structural-acoustical coupling system for a three-dimensional rectangular enclosure was established, and a design method of robust μ-synthesis controller was proposed. The robust performance problem of the structural-acoustical coupling system was transformed into the robust stability problem of an augment system via the introduction of a fictive uncertainty module. The robust stability controller for tnis augment system was solved by standard D- K iteration. Simulation results indicate that μ-synthesis can provide a good disturbance rejection and is more robust to parameter variations than H∞ controller. In comparison with the previous studies, this paper designs an active robust controller for the structural-acoustical coupling system by using the μ-synthesis theory, and demonstrates the merit of μ-synthesis controller.

Key words: automatic control technique , structural-acoustical coupling , μ-synthesis , robust control , ac?tive structure acoustic control

中图分类号: