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摘要: 在对广义系统进行标准分解的基础上, 研究了含脉冲快子系统的迭代学习控制问题. 通过 Frobenius 范数给出了快子系统在 P 型学习律作用下收敛的充分性条件, 同时通过梯度法给出求解增益矩阵的方法. 其次, 讨论了单输入单输出不确定广义系统的迭代学习控制问题, 通过优化方法给出该系统在 P 型学习律作用下, 系统实际输出尽可能快地收敛到理想输出的增益矩阵的选择方法.Abstract: In this paper, the problem of iterative learning control for fast subsystem with impulse is investigated based on the Weierstrass canonical form, the sufficient condition that guarantees the convergence of P-type learning law is derived by the Frobenius norm, and the approach to choose the gain matrix is given by gradient flow approach. Then, the uncertain single input single output singular system is discussed, the method to choose the gain matrix such that the actual output converge to desired trajectory as quickly as possible is given by optimization.
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Key words:
- Singular system /
- impulse /
- uncertainty /
- iterative learning control /
- convergence
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