具有扩散耦合偏微分时滞系统的学习跟踪控制

Learning Tracking Control for Partial Differential Time-Delay Systems with Diffusion Coupling

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。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,给出了学习系统跟踪误差在L^2范数意义下收敛的条件。最后,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。

In this paper,the problem of system output tracking was studied by using iterative learning control algorithm for partial differential time-delay systems with spatial diffusion coupling.Ncoupling of partial differential systems with spatial diffusion were transformed into system equivalent description form based on super vector method.Open-closed-loop iterative learning law was designed for the equivalent learning system.The conditions that the learning system tracking error converges under the L^2 norm sense were given.Finally,the effectiveness of the proposed algorithm and conclusion was validated by the numerical simulation of two partial differential time-delay systems via diffusion coupling.