| 引用本文: | 赵新龙,谭永红,董建萍.基于迟滞算子的非平滑三明治系统自适应控制[J].控制理论与应用,2008,25(6):1121~1127.[点击复制] |
| ZHAO Xin-long,TAN Yong-hong,DONG Jian-ping.Adaptive control of non-smooth sandwich systems based on hysteretic operator[J].Control Theory and Technology,2008,25(6):1121~1127.[点击复制] |
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| 基于迟滞算子的非平滑三明治系统自适应控制 |
| Adaptive control of non-smooth sandwich systems based on hysteretic operator |
| 摘要点击 2300 全文点击 1151 投稿时间：2006-03-03 修订日期：2008-01-15 |
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| DOI编号 10.7641/j.issn.1000-8152.2008.6.030 |
| 2008,25(6):1121-1127 |
| 中文关键词 迟滞 三明治系统 迟滞算子 神经网络 自适应控制 |
| 英文关键词 hysteresis sandwich system hysteretic operator neural networks adaptive control |
| 基金项目 国家自然科学基金资助项目(60572055); 浙江理工大学科研启动基金资助项目(0703052–Y). |
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| 中文摘要 |
| 针对一类具有非平滑的迟滞三明治系统, 提出一种基于神经网络的自适应控制方法. 首先利用神经网络做出了前端动态模块的逆系统实现前端动态模块的近似补偿, 这样将迟滞三明治系统转化成一般的迟滞非线性系统. 然后提出一个迟滞算子将迟滞的多映射转化成一一映射, 基于这个迟滞算子设计了神经网络自适应控制器, 通过Lyapunov方法证明了系统的稳定性并推导出神经网络的权值自适应调整律和控制律. 最后通过仿真验证了该方案的有效性. |
| 英文摘要 |
| Considering the special structure of sandwich system, we present a unit inverse system to compensate for the leading dynamic block of the sandwich system, transforming the sandwich system into a common nonlinear system preceded by hysteresis and disturbance. A novel hysteretic operator is proposed to transform the multi-valued mapping of hysteresis into a one-to-one mapping. Applying the hysteretic operator, we develop an adaptive controller for the sandwich system with hysteresis nonlinearity. The control law and adaptive law are derived from Lyapunov stability theorem, so that the ultimate boundedness of the closed-loop system is guaranteed. Simulation results show the efficacy of the proposed scheme in controlling the sandwich systems with hysteresis. |