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控制增益时变的非线性系统的迭代学习控制

陈彭年1,秦化淑2,方学毅3   

  1. 1.中国计量学院自动化系, 杭州  310018; 2.中国科学院数学与系统科学研究院, 北京 100190; 2.浙江大学工业控制技术国家重点实验室,  杭州 310027
  • 出版日期:2012-06-25 发布日期:2012-08-22

陈彭年,秦化淑,方学毅. 控制增益时变的非线性系统的迭代学习控制[J]. 系统科学与数学, 2012, 32(6): 693-704.

CHEN Pengnian,QIN Huashu,FANG Xueyi. ITERATIVE LEARNING CONTROL OR UNCERTAIN NONLINEAR SYSTEMS ITH TIME-VARYING CONTROL GAIN[J]. Journal of Systems Science and Mathematical Sciences, 2012, 32(6): 693-704.

ITERATIVE LEARNING CONTROL OR UNCERTAIN NONLINEAR SYSTEMS ITH TIME-VARYING CONTROL GAIN

CHEN Pengnian1QIN Huashu2FANG Xueyi3   

  1. 1.Department of Automatic Control, China Jiliang University, Hangzhou 310018; 2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080; 3.State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027
  • Online:2012-06-25 Published:2012-08-22
研究一类具有未知时变控制增益的不确定非  线性系统的迭代学习控制. 系统的不确定性不仅是时变的,而且可以依赖于系统的状态. 在先前的有关研究中, 如果不采用饱和控制, 只能保证点点收敛或平方积分收敛. 文章提出了一个不采用饱和控制的状态反馈迭代学习控制律, 并且建立了跟踪误差的一致收敛性.
This paper deals with the problem of iterative learning control for a class of ncertain nonlinear systems with unknown time-varying control gains. The  ncertainties of the ystem are time-varying and may depend on states of the system. It is only guaranteed that the racking error converges to zero for each point in the iteration interval if the saturation control s not employed in the previous studies. In the paper, a iterative learning control law via state eedback is presented without use of the saturation control, which guarantees that the tracking rror converges to zero uniformly.

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