基于高阶采样数据迭代学习的非线性不确定系统跟踪控制OA
Tracking Control of Nonlinear Uncertain Systems Based on Iterative Learning with High-Order Sampled Data
针对一类具有不确定性且性能高度依赖历史数据的系统,传统一阶迭代学习控制(ILC)难以有效利用历史信息,存在收敛精度不足、难以保障稳定性等局限.为解决上述问题,本文提出了一种高阶采样数据 ILC 策略.该策略通过设计采样数据机制,显著降低了数据存储与通信需求;通过引入高阶学习律,并融合多个历史批次中的有效数据,增强了系统对不确定性扰动的抑制能力.基于线性递推不等式收敛引理及 Bellman-Gronwall 引理,建立了系统渐近收敛的充分条件.最后,通过数值模拟验证了所提方法的有效性.
For a class of systems with uncertainties and whose performance is highly dependent on histori-cal data,traditional first-order iterative learning control(ILC)struggles to effectively utilize historical informa-tion,facing limitations such as insufficient convergence accuracy and difficulties in ensuring stability.To ad-dress these issues,this paper proposes a high-order sampled data ILC strategy.By designing a sampled data mechanism,the data storage and communication requirements are significantly reduced.By introducing a high-order learning law and integrating effective data from multiple historical batches,the system's ability to suppress uncertain disturbances is enhanced.Based on the convergence lemma of linear recursive inequalities and the Bellman-Gronwall lemma,sufficient conditions for the asymptotic convergence of the system are established.Fi-nally,the effectiveness of the proposed method is verified through numerical simulations.
沈彦婷;黄振坤
集美大学理学院,福建 厦门 361021集美大学理学院,福建 厦门 361021
数理科学
系统跟踪控制迭代学习控制(ILC)采样数据P型学习收敛性分析
system tracking controliterstive learning control(ILC)sampled dataP-type learningcon-vergence analysis
《集美大学学报(自然科学版)》 2026 (4)
482-491,10
福建省自然科学基金(2024J01725)
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