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初态偏移非线性系统跟踪控制的迭代学习算法
引用本文:张华,陶洪峰,杨慧中. 初态偏移非线性系统跟踪控制的迭代学习算法[J]. 江南学院学报, 2014, 0(3): 253-257
作者姓名:张华  陶洪峰  杨慧中
作者单位:江南大学教育部轻工过程先进控制重点实验室,江苏无锡214122
基金项目:国家自然科学基金项目(61273070);国家自然科学基金青年基金项目(61203092);中央高校基本科研业务专项项目(JUSRP111A47);江苏省高校自然科学研究项目(11KJB51007);高等学校学科创新引智计划项目(B12018).
摘    要:
基于迭代学习控制理论提出一种新的可变增益学习控制算法,并对系统初态的迭代学习律进行了讨论,利用算子理论证明在非线性系统中存在初态偏移时经过迭代学习后,输出仍能跟踪期望轨迹;对其收敛性进行数学证明,得到谱半径形式的迭代学习律收敛的充分条件,从而解决了可变学习增益迭代学习控制的初态偏移问题.最后在注塑机注射速度控制系统中与增益不可变迭代学习算法进行比较,仿真结果验证了算法的有效性.

关 键 词:非线性系统  迭代学习控制  可变增益  初态学习  注塑机

Iterative Learning Algorithms for Tracking Control of Nonlinear Systems with Initial Offset
ZHANG Hua,TAO Hongfeng,YANG Huizhong. Iterative Learning Algorithms for Tracking Control of Nonlinear Systems with Initial Offset[J]. Journal of Jiangnan College, 2014, 0(3): 253-257
Authors:ZHANG Hua  TAO Hongfeng  YANG Huizhong
Affiliation:1.Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education,Jiangnan University,Wuxi 214122, China)
Abstract:
An iterative learning control of variable gain is propsed based on iterative learning control theory,which increases iterative learning rule of the initial states of systems.By using the operator theory,it is proved that the output of the system can track the expected trajectory after the iterative learning of the nonlinear system with an initial state offset.The convergence is proved and the convergent condition for the spectral radius of the algorithm is given.Compared with the invariable gain iterative learning control of an injection molding machine the simulation results show the effectiveness of the proposed algorithm.
Keywords:nonlinear systems  iterative learning control  variable gain  initial state study  injection molding machine
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