引用本文:林岩 ,董文瀚 ,孙秀霞.高频增益符号未知时的变结构模型参考自适应控制:任意相对阶的控制律设计[J].控制理论与应用,2006,23(3):383~390.[点击复制]
YAN Lin,DONG Wen-han,SUN Xiu-xia.Variable structure model reference adaptive control with unknown high frequency gain sign:general case[J].Control Theory and Technology,2006,23(3):383~390.[点击复制]
高频增益符号未知时的变结构模型参考自适应控制:任意相对阶的控制律设计
Variable structure model reference adaptive control with unknown high frequency gain sign:general case
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DOI编号  10.7641/j.issn.1000-8152.2006.3.011
  2006,23(3):383-390
中文关键词  变结构控制  自适应控制  混合控制  非线性控制
英文关键词  variable structure control  adaptive control  hybrid control  non-linear control
基金项目  国家自然科学基金资助项目(60174001); 北京市自然科学基金资助课题(4022007)
作者单位
林岩 ,董文瀚 ,孙秀霞 北京航空航天大学自动化科学与电气工程学院,北京100083
空军工程大学工程学院,陕西西安710038 
中文摘要
      讨论被控对象相对阶大于1且高频增益符号未知时的变结构模型参考自适应控制问题,从而将相对阶为1时的结果推广到任意相对阶.首先对关键信号构造监控函数,并在此基础上提出了一种控制信号切换律.进而证明,当被控对象相对阶大于1、高频增益符号未知时,在监控函数的监测下,相关控制信号经至多有限次切换后将停止切换,跟踪误差将收敛到一个残集内,且该残集可通过减小某些设计参数而变得任意小.特别,本文证明,与相对阶为1时相同,当对象相对阶大于1时,若系统的某些初始条件为零,则至多只需要一次切换.
英文摘要
      A switching method is presented for the design of a variable structure model reference adaptive control for plants with relative degree greater than one without the knowledge of the sign of the plant high frequency gain.The design is based on some properly chosen monitoring functions.It is shown that under the supervision of the monitoring functions,the switching of control signal will stop after a finite number of switching and the tracking error will converge to a residual set that can be made arbitrarily small by choosing some design parameters sufficiently small.In particular,the same as the earlier work for plants with relative degree one,if some initial states of the system are zero,it is shown that at most one switching is needed.