基于有限差分法的二阶双曲型分布参数系统的迭代学习控制

Abstract

Abstract: In this paper, the iterative learning control for distributed parameter systems based on finite differential method is considered. Here, the considered distributed parameter systems are composed of second order hyperbolic partial differential equations. According to the initialboundary conditions of the systems, iterative learning control laws are proposed based on finite differential method. Using the iterative converge principle, we show that the schemes can guarantee the state tracking errors can converge to a small region of the origin along the iteration axis. Finally, the simulation result verifies the effectiveness of the proposed algorithm.

Key words: Hyperbolic distributed parameter systems, Learning scheme, Iterative learning control, Finite differential method

CLC Number:

TP13

Li Xiangdong, Fu Qin, Wu Jianrong. Iterative Learning Control for Second Order Hyperbolic Distributed Parameter Systems Based on Finite Differential Method[J].Acta mathematica scientia,Series A, 2018, 38(3): 588-598.

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References

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Iterative Learning Control for Second Order Hyperbolic Distributed Parameter Systems Based on Finite Differential Method

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