引用本文:党映农,韩崇昭.基于Volterra级数模型的非线性系统自适应控制稳定性研究[J].控制理论与应用,2002,19(1):80~84.[点击复制]
DANG Yingnong,HAN Chongzhao.Study on the Stability of the Volterra Series Model Based Adaptive Control Systems[J].Control Theory and Technology,2002,19(1):80~84.[点击复制]
基于Volterra级数模型的非线性系统自适应控制稳定性研究
Study on the Stability of the Volterra Series Model Based Adaptive Control Systems
摘要点击 2210  全文点击 2432  投稿时间：1999-09-28  修订日期：2000-05-26
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DOI编号  
  2002,19(1):80-84
中文关键词  自适应控制  非线性系统控制  Volterra级数模型
英文关键词  adaptive control  nonlinear system control  Volterra series model
基金项目  
作者单位E-mail
党映农 西安交通大学 电子与信息工程学院, 西安 710049 dangyingnong@263.net 
韩崇昭 西安交通大学 电子与信息工程学院, 西安 710049 czhan@sjtu.edu.cn 
中文摘要
      研究一类单输入单输出非线性系统的自适应控制问题, 这类系统能用有限阶离散Volterra级数模型表示. 采用递推最小二乘算法进行参数估计, 并通过解高次方程得到控制律. 结合反馈型Volterra级数系统的局部L稳定理论, 证明了算法的局部收敛性质. 通过对一个化工连续搅拌反应器 (CSTR)的过程控制进一步验证了该算法的有效性.
英文摘要
      The adaptive control problem of a class of SISO nonlinear control systems is studied, which can be modeled by a finite discrete Volterra series model. Firstly, the parameters are estimated by using the recursive least_square method, then the control law is presented by solving a polynomial equation. The local convergent property of the proposed algorithm is proved by the local stability theory of feedback Volterra systems. Simulation results corroborate the proposed algorithm.