广东工业大学学报 ›› 2015, Vol. 32 ›› Issue (1): 91-97.doi: 10.3969/j.issn.1007-7162.2015.01.019

• 综合研究 • 上一篇    下一篇

一类非线性不确定系统的输出跟踪控制

田为刚,王银河,李玉姣   

  1. 广东工业大学 自动化学院, 广东 广州 510006
  • 收稿日期:2013-09-30 出版日期:2015-03-05 发布日期:2015-03-05
  • 作者简介:田为刚(1988-),男,硕士研究生,主要研究方向为非线性系统的模糊自适应控制.
  • 基金资助:

    国家自然科学基金资助项目(61273219);广东省自然科学基金资助项目(S2013010015768;2011010005029)

Fuzzy Adaptive Output Tracking Control for a Class of Uncertain Nonlinear Systems

Tian Wei-gang, Wang Yin-he, Li Yu-jiao   

  1. School of Automation, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2013-09-30 Online:2015-03-05 Published:2015-03-05

摘要: 设计了一类不确定非线性系统模糊自适应输出跟踪控制器. 首先将一个时变参数引入到规则前件的高斯型隶属度函数中, 形成一组带有时变参数的模糊规则, 通过时变参数的变化改变高斯型隶属度函数的中心和宽度,进而改变原Mamdani型模糊逻辑系统的输出,形成新的带有时变参数的模糊逻辑系统. 然后以这种改造后的模糊逻辑系统逼近系统的未知非线性项,构造时变参数和逼近精度的自适应律,设计相应的自适应输出跟踪控制器. 这种方法的优越性在于充分利用原有的有限数目的模糊规则,合成具有较少自适应律的模糊自适应输出跟踪控制器. 最后,通过Duffing的仿真算例验证了本文提出方法的可行性和有效性.

关键词: 模糊逻辑系统; 时变参数; 输出跟踪; 自适应控制

Abstract: In this paper, a fuzzy adaptive output tracking controller is designed for a class of uncertain nonlinear systems to track a given sign. First, a time-varying parameter is introduced into the Gaussian membership functions of the rule antecedent, so that a new set of fuzzy rules with a time-varying parameter is given. This implies that the update motion of timevarying parameter changes not only the centers and widths of Gaussian membership functions, but also the output of the previous Mamdani fuzzy logic system, and thus a new fuzzy logic system with a timevarying parameter is synthesized. And then the modified fuzzy logic system can be used to approximate the unknown nonlinear term of the system, and the adaptive laws of timevarying parameter and the estimated values of the fuzzy approximate accuracy can be constructed, accordingly the fuzzy adaptive output tracking controller of the system can be synthesized. The advantage of the proposed method in this paper is that by the full use of existing limited number of fuzzy rules, the fuzzy adaptive output tracking controller can be synthesized with more fewer adaptive laws. Finally, the Duffing system′s simulation example demonstrates that the proposed method in this paper is feasible and effective.

Key words: fuzzy logic system; time-varying parameter; output tracking; adaptive control

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