摘要
对一类具有高相对度的非正则离散抛物型分布参数系统的迭代学习控制问题进行了研究.首先将集中参数系统高相对度的定义相应的推广到离散分布参数系统.基于本文的非正则离散分布参数系统,设计了一类带有相对度为p的离散分布式迭代学习控制算法.然后由偏差分方程解的一般形式,将该分布参数系统降维处理为一般的离散线性系统,给出了在适当初边值条件下迭代跟踪误差沿迭代轴收敛的充要条件.用线性系统稳定性理论证明了本文所设计的分布式学习控制算法的收敛性.数值例子说明了所给算法的有效性.
In this paper,iterative learning control(ILC) is addressed for a class of irregular discrete parabolic distributed parameter systems with high relative degree.At first,the notation of high relative degree for lumped parameter systems is extended to discrete distributed parameter systems.Then,a discrete P-type distributed ILC algorithm is presented in for discrete parabolic distributed parameter systems that relative degree is p.The method of dimensionality reduction is adopted by using the general solution of partial difference systems under the appropriate initial and boundary conditions.The sufficient and necessary condition of tracking error to converge is established along the iteration axis,and convergence analysis is given according to the stability theory of linear system.Numerical simulation examples are shown to demonstrate effectiveness of the proposed ILC algorithm.
引文
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