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具有未建模动态耦合大系统的分散自适应动态面控制

夏晓南,张天平,朱洪斌   

  1. 扬州大学信息工程学院自动化专业部,扬州 225127
  • 收稿日期:2014-04-25 出版日期:2014-07-25 发布日期:2014-12-26

夏晓南,张天平,朱洪斌. 具有未建模动态耦合大系统的分散自适应动态面控制[J]. 系统科学与数学, 2014, 34(7): 838-852.

XIA Xiaonan, ZHANG Tianping ,ZHU Hongbin. DECENTRALIZED ADAPTIVE DYNAMIC SURFACE CONTROL OF LARGE-SCALE INTERCONNECTEDSYSTEMS WITH UNMODELED DYNAMICS[J]. Journal of Systems Science and Mathematical Sciences, 2014, 34(7): 838-852.

DECENTRALIZED ADAPTIVE DYNAMIC SURFACE CONTROL OF LARGE-SCALE INTERCONNECTEDSYSTEMS WITH UNMODELED DYNAMICS

XIA Xiaonan, ZHANG Tianping ,ZHU Hongbin   

  1. Department of Automation, College of Information Engineering, Yangzhou University, Yangzhou 225127
  • Received:2014-04-25 Online:2014-07-25 Published:2014-12-26
对一类具有未建模动态的非线性耦合大系统, 利用神经网络逼近未知非线性连续函数, 提出一种分散自适应神经动态面控制方案. 该方案通过引入一个动态信号克服了未建模动态. 利用分离技术放宽了对系统扰动及耦合项的限制条件. 将动态面控制与后推设计相结合, 有效地解决了后推设计中需要对虚拟控制反复求导所导致的设计复杂性问题, 最终实现了耦合大系统的分散自适应控制. 通过理论分析, 证明了闭环系统所有信号是半全局一致终结有界的. 通过适当选取设计参数, 跟踪误差能够收敛到零的一个小邻域内.仿真结果表明了所提控制方案的有效性.
In this paper, using neural networks to approximate the unknown continuous function, decentralized adaptive neural dynamic surface control is proposed for a class of large-scale nonlinear interconnected systems with unmodeled dynamics. A dynamic signal is introduced to dominate the unmodeled dynamics in the design. The restrictions of the disturbances and interconnections are relaxed by using the separation technique. By combining dynamic surface control with backstepping, such as the ``explosion of complexity'' problem caused by the repeated differentiations on virtual control in traditional backstepping design is effectively solved. The decentralized adaptive control of interconnected large-scale systems is realized. By theoretical analysis, the closed-loop control system is shown to be semi-globally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood of the origin by appropriately choosing design parameters. Simulation results are provided to verify the effectiveness of the proposed approach.

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