| 基于模型参考自适应的一类二维系统形状渐近跟踪控制 |
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| 引用本文： | 陈文力,汤 晓,王银河.基于模型参考自适应的一类二维系统形状渐近跟踪控制[J].教育技术导刊,2020,19(6):70-73. |
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| 作者姓名： | 陈文力 汤 晓 王银河 |
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| 作者单位： | 1.广东工业大学 自动化学院；2. 广州亚俊氏电器有限公司，广东 广州 510006 |
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| 基金项目： | 国家自然科学基金项目（61673120） |
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| 摘 要： | 针对二维线性系统，探究可实现其状态轨迹形状与参考系统状态轨迹间形状渐近跟踪的控制方法。首 先，利用刚体运动描述系统状态轨迹的形状渐近跟踪概念，然后对传统模型匹配条件进行扩展。在该条件下，采用 Lyapunov 稳定性与模型参考自适应相结合的方法，设计形状渐近跟踪控制器。实验表明，该控制器可保证被控系统与参考系统状态轨迹达到形状渐近跟踪。与传统方法相比，所给出的模型匹配条件及形状渐近跟踪控制器适用范围更广。最后，对模型进行仿真实验，证明了该控制方法的有效性。
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| 关 键 词： | 自适应控制 线性系统 形状渐近跟踪控制器 |
| 收稿时间： | 2019-10-30 |
Model Reference Adaptive Shape Asymptotic Tracking Control for a Class of Two-dimensional System |
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| CHEN Wen-li,TANG Xiao,WANG Yin-he.Model Reference Adaptive Shape Asymptotic Tracking Control for a Class of Two-dimensional System[J].Introduction of Educational Technology,2020,19(6):70-73. |
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| Authors: | CHEN Wen-li TANG Xiao WANG Yin-he |
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| Institution: | 1. School of Automation，Guangdong University of Technology；2. Guangzhou Argion Electric Appliance Co.，Ltd，Guangzhou 510006，China |
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| Abstract: | The shape asymptotic tracking control method is developed for a class of two-dimensional system state trajectory shape and the reference system state trajectory shape. First of all，the concept of shape asymptotic tracking of system state trajectory is described by the rigid motion. And the traditional model matching condition is extended. Then，the shape asymptotic tracking controller is developed with the aid of Lyapunov function and model reference adaptive method. Further，it is shown that the presented controller can effectively ensure the controlled system state trajectory and the reference system state trajectory achieve shape asymptotic tracking. The presented model matching condition and asymptotic tracking controller is of wider application range by comparing with the traditionalmethod. Finally，a simulation example is given to verify the shape asymptotic tracking controller’s effectiveness. |
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| Keywords: | adaptive control linear system shape asymptotic tracking controller |
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