广东工业大学学报 ›› 2014, Vol. 31 ›› Issue (4): 60-64.doi: 10.3969/j.issn.1007-7162.2014.04.011

• 综合研究 • 上一篇    下一篇

一类具有不确定性的线性系统的模糊自适应控制

解元,金朝永   

  1. 广东工业大学 应用数学学院,广东 广州 510520
  • 收稿日期:2013-04-28 出版日期:2014-12-28 发布日期:2014-12-28
  • 作者简介:解元(1989-),男,硕士研究生,主要研究方向为微分动力方程.
  • 基金资助:

    广东省自然科学基金资助项目(S2011010005029)

Adaptive Fuzzy Control for a Class of Uncertain Linear Systems

Xie Yuan, Jin Chao-yong   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520,China
  • Received:2013-04-28 Online:2014-12-28 Published:2014-12-28

摘要: 针对一类具有不确定性和干扰的线性系统,首先将系统不确定性进行归一化处理,然后利用模糊逻辑系统对系统不确定性进行逼近估计.同时对模糊逻辑系统的未知参数进行估计合成相应的自适应律,由此提出了一种模糊自适应控制设计方法.这种模糊自适应控制不仅能够减少自适应律的数目,而且也能够保证被控系统的状态及参数估计误差一致终极有界.最后的仿真结果表明了该方法的有效性.

关键词: 不确定性;模糊逻辑系统;自适应控制;一致终极有界

Abstract: An adaptive fuzzy control approach was proposed for a class of linear systems with uncertainty and disturbance. Firstly, the uncertainties of systems were normalized and processed. Then, the fuzzy logic system was employed to estimate the uncertainties of the system. Meanwhile, the unknown parameters of the fuzzy logic system were estimated and the corresponding adaptive laws were synthesized. The fuzzy adaptive controller not only reduces the number of adaptive laws but also ensures the state of the systems controlled and errors of parameter estimate are uniform and ultimately bounded (UUB). The simulation experiment demonstrates the effectiveness of the control method.

Key words: uncertainty; fuzzy logic system; adaptive control; uniformly ultimately bounded(UUB)

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