计算机应用 ›› 2011, Vol. 31 ›› Issue (02): 478-482.

• 人工智能 • 上一篇    下一篇

时变时滞非仿射大系统的分散自适应控制

周树杰,张天平   

  1. 扬州大学
  • 收稿日期:2010-07-22 修回日期:2010-08-31 发布日期:2011-02-01 出版日期:2011-02-01
  • 通讯作者: 张天平
  • 基金资助:
    具有输入非线性的不确定时滞系统的稳定自适应控制研究;随机分布系统两步建模及自适应、自学习控制方法研究

Decentralized adaptive control of large-scale nonaffine time-varying delay systems

  • Received:2010-07-22 Revised:2010-08-31 Online:2011-02-01 Published:2011-02-01

摘要: 针对一类具有未知时变时滞的非仿射互联大系统基于神经网络的逼近能力, 提出了一种分散自适应神经网络控制方案。该方案利用中值定理对未知非仿射函数进行分离; 利用分离技术和Young's不等式放宽了对未知时滞及时滞互联不确定项的限制, 同时大大减少了在线调节参数的数量。此外, 利用LyapunovKrasovskii 泛函补偿了未知时滞带来的不确定性。通过理论分析, 证明了闭环系统所有信号是有界的, 输出跟踪误差收敛到原点的一个小邻域内。最后, 仿真结果验证了所提控制方案的有效性。

关键词: 自适应控制, 非仿射系统, 分散控制, 神经网络, 未知时变时滞

Abstract: Based on the approximation capability of the neural networks, a decentralized adaptive neural network control scheme was proposed for a kind of unknown time-varying delay nonaffine interconnected largescale system. The unknown nonaffine functions were separated by the mean value theorem, while the restrictions of the unknown time delays and the uncertain time-varying delay interconnections were relaxed by utilizing the separation technique and the Young's inequality in the design. The number of adjustable parameters was considerably reduced. In addition, time delay uncertainties were compensated by using LyapunovKrasovskii functionals. Through the theoretical analysis, all of the signals in the closed-loop system are proven to be bounded, while the output tracking errors converge to a small neighborhood of the origin. The simulation results show the effectiveness of the proposed control scheme.

Key words: adaptive control, nonaffine system, decentralized control, neural network, unknown time-varying delay