| 引用本文: | 朱雪枫,王建辉.非线性重复运动系统的双迭代优化学习控制[J].控制理论与应用,2021,38(8):1265~1274.[点击复制] |
| ZHU Xue-feng,WANG Jian-hui.Double iterative optimal learning control of nonlinear repetitive motion system[J].Control Theory and Technology,2021,38(8):1265~1274.[点击复制] |
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| 非线性重复运动系统的双迭代优化学习控制 |
| Double iterative optimal learning control of nonlinear repetitive motion system |
| 摘要点击 1831 全文点击 565 投稿时间：2020-06-19 修订日期：2020-12-21 |
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| DOI编号 10.7641/CTA.2020.00372 |
| 2021,38(8):1265-1274 |
| 中文关键词 非线性 迭代方法 初始误差 非参数不确定性 参考轨迹自修正 |
| 英文关键词 nonlinear iterative methods initial error non-parametric uncertainty reference trajectory self-correcting |
| 基金项目 辽宁省自然科学基金指导计划项目(20180551113), 辽宁省自然科学基金面上项目(2019–MS–238)资助. |
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| 中文摘要 |
| 本文针对一类具有非参数不确定性和输出约束的非线性系统, 提出一种双迭代优化学习控制策略, 将复杂
的迭代学习过程简化为两个相对简单的迭代控制器. 首先引入一类饱和非线性函数不仅可以满足系统的位置约束,
同时能够保证系统跟踪误差收敛于给定的邻域, 然后针对每次迭代初始误差设计参考轨迹自修正策略, 在每个迭代
周期上设置一个固定的调整时间域, 根据上次迭代的输出调整下一次迭代的参考轨迹. 双迭代的控制结构可以同
时更新两个迭代控制器的参数, 来处理系统的非参数不确定性. 进一步利用Barrier复合能量函数证明双迭代控制策
略的收敛性和稳定性, 并给出收敛条件. 最后, 通过一个算例证明了该控制策略的有效性. |
| 英文摘要 |
| In this work, a double iterative optimal learning control strategy is proposed for a nonlinear systems with
non-parametric uncertainties and output constraints. Firstly, a class of saturated nonlinear functions is introduced, which
can not only satisfy the position constraints of the system, but also ensure that the tracking error converges to the given
neighborhood. Then, a reference trajectory self-tuning strategy is designed for the initial error of each iteration. A fixed adjustment
time domain is set in each iteration cycle, and the reference trajectory of the next iteration is adjusted according to
the output of the last iteration. The dual iterative control structure can update the parameters of the two iterative controllers
at the same time to deal with the non-parametric uncertainties of the system. Furthermore, the convergence and stability of
the double iterative control strategy are proved by using the barrier composite energy function. Finally, an example is given
to prove the effectiveness of the control strategy. |
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