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【目的】对具有空间扩散耦合偏微分时滞系统,采用迭代学习控制算法研究其输出轨迹跟踪的问题。【方法】基于超向量法对N个具有空间扩散耦合的偏微分时滞系统进行转化,得到与其等价的系统模型,再对该等价的学习系统设计开闭环P型迭代学习控制律。【结果】给出了学习系统跟踪误差在L2范数意义下收敛的条件。【结论】通过两个具有扩散耦合的偏微分时滞系统的数值仿真,验证了所提出算法和结论的有效性。
【Objective】 The iterative learning control algorithm is used to study the output trajectory tracking problem with the system of partial differential delay coupled with space diffusion. 【Method】 The N-dimensional partial differential delay systems with space-disperse coupling are transformed based on the super-vector method, and the equivalent system model is obtained. Then, the closed-loop P-type iterative learning control law is designed for the equivalent learning system. 【Result】 The condition that the tracking error of learning system converges in L2 norm is given. 【Conclusion】 The validity of the proposed algorithm and the conclusion are verified by numerical simulations of two partially coupled differential-delay systems.