具有状态时滞的非线性抛物型偏差分系统迭代学习控制  

Iterative Learning Control of Nonlinear Parabolic Partial Difference Systems with Time Delay

作　　者：郭亚君 

机构地区：[1]山西工程职业技术学院,山西太原030009

出　　处：《山西电子技术》2018年第1期20-24,共5页Shanxi Electronic Technology

摘　　要：在系统具有时滞性和非线性等不确定因素的情况下,为保持抛物型偏差分系统与被控对象的收敛性一致,运用迭代学习控制P型算法,给出算法的收敛条件。借助λ范数,离散Gronwall不等式,使系统的输出跟踪误差沿迭代轴收敛,并通过仿真实例验证了算法的有效性。证明了P型算法可以使具有状态时滞的非线性抛物型偏差分系统达到理想的控制目标。In the case of uncertain factors such as time delay and nonlinearity in the system, in order to keep the uniform convergence between the parabolic partial difference system and the controlled object, the P-type itera- tive learning control algorithm is used to give out the algorithm convergence conditions. It proves that this algorithm can make output tracking error convergence by using the-norm and discrete Gronwall inequality. And through a simulation example demonstrates the effectiveness of the proposed algorithm. It is proved that the P-type algorithm can make the nonlinear parabolic system with state delay can reach the ideal control target.

关 键 词：迭代学习控制 收敛性分析 偏差分系统 非线性 状态时滞 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]