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### 任意初态偏移下连续系统两阶段迭代学习控制

1. 浙江警察学院公共基础部, 杭州 310053
• 收稿日期:2021-12-06 修回日期:2022-03-08 发布日期:2022-08-31
• 通讯作者: 卢甜甜,Email:lutiantian@zjjcxy.cn.
• 基金资助:
北京东方计量测试研究所刘尚合院士专家工作站静电研究基金(BOIMTLSHJD20182001)资助课题.

LI Guojun, LU Tiantian, FAN Yingsheng. Two-Phase Iterative Learning Control for Continuous Systems with Random Initial State Shifts[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(7): 1700-1714.

### Two-Phase Iterative Learning Control for Continuous Systems with Random Initial State Shifts

LI Guojun, LU Tiantian, FAN Yingsheng

1. Basic Courses Department, Zhejiang Police College, Hangzhou 310053
• Received:2021-12-06 Revised:2022-03-08 Published:2022-08-31

Aiming at the first-order state tracking systems with arbitrary initial state shifts, this paper presents a two-phase iterative learning control strategy. Firstly, by means of difference terms, the first-order nonlinear differential equation is converted into a first-order linear non-homogeneous differential equation. Utilizing the form of solution of the first-order linear non-homogeneous differential equation and the initial state shifts, we can select the appropriate control gain to ensure that the systems are stable and reach the stable output at a fixed time. Secondly, on the premise that the systems have reached the fixed output, two methods are proposed for rectifying the fixed shifts, namely, shifts rectifying control and alternative trajectory control. Theoretical analysis shows that the two-phase iterative learning control strategy proposed in this paper can ensure that the systems achieve complete tracking in the specified interval. The final simulations verify the effectiveness of the proposed algorithm.

MR(2010)主题分类:

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