电子科技 ›› 2020, Vol. 33 ›› Issue (12): 38-43.doi: 10.16180/j.cnki.issn1007-7820.2020.12.008

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具有不匹配量化的非线性系统自适应滑模控制

张乐乐,苏前敏   

  1. 上海工程技术大学 电子电气工程学院,上海201620
  • 收稿日期:2019-09-14 出版日期:2020-12-15 发布日期:2020-12-22
  • 作者简介:张乐乐(1995-),女,硕士研究生。研究方向:滑膜控制。|苏前敏(1974-),男,博士,副教授。研究方向:神经网络。
  • 基金资助:
    上海市2017年度“科技创新行动计划”(17401970900)

Adaptive Sliding Mode Control for Nonlinear Systems with Mismatched Quantization

ZHANG Lele,SU Qianmin   

  1. College of Electronic and Electrical Engineering,Shanghai University of Engineering Science,Shanghai 201620,China
  • Received:2019-09-14 Online:2020-12-15 Published:2020-12-22
  • Supported by:
    Shanghai 2017 “Science and Technology Innovation Action Plan”(17401970900)

摘要:

文中对非线性系统的渐近稳定性问题进行了研究。量化器的编码器和解码器参数会出现不匹配的情况,且不匹配的量化参数进一步增加了控制器设计的复杂性和难度。通过建立量化参数的时变比例模型,结合基于观测器技术和滑模控制技术,设计出自适应滑膜控制的方法。该方法充分消除了不匹配量化参数、非线性和外部干扰的影响,实现了闭环系统的渐近稳定性并将系统的状态轨迹驱动到滑模面上。最后,运用仿真实验验证了控制策略的有效性。

关键词: 渐近稳定性, 非线性系统, 不匹配量化参数, 观测器, 滑模控制, 滑模面

Abstract:

This study aims to investigate the asymptotic stability problem of nonlinear systems. The encoder and decoder parameters of the quantizer may be mismatched, and the unmatched quantization parameters may further increase the complexity and difficulty of the controller design. In this paper, an adaptive sliding film control method is designed by establishing a time-varying proportional model of quantitative parameters, combining observer-based techniques and sliding mode control techniques. The proposed method completely eliminates the influence of mismatched quantization parameters, nonlinearity and external disturbance, and realizes the asymptotic stability of the closed-loop system and drives the state trajectory of systems to the sliding mode surface.Finally, the effectiveness of the control strategy is verified by simulation experiments.

Key words: asymptotic stability, nonlinear systems, mismatched quantization parameters, observer, sliding mode control, sliding mode surface

中图分类号: 

  • TP13