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考虑间歇反应中存在的非线性、实际情况中的输入输出约束要求和扰动的重复特性和非重复特性，将采用迭代学习和预测控制相结合的方法设计控制器，使得系统输出跟踪给定参考轨迹，最终使得间歇反应能够满足产品质量要求。由于迭代学习控制系统从本质上看汇聚了时间和批次两个变量，故可称为2维系统。针对2维系统，采用李亚普诺夫函数确保系统的稳定性并得到系统的控制序列，上述的控制序列可通过求解线性矩阵不等式求得。为了验证算法的有效性，将上述控制算法应用在对连续搅拌釜（CSTR）温度期望轨迹的跟踪控制中，仿真结果表明了控制算法的有效性。“,”Batch processes can be nonlinear,are prone to repetitive and non-repetitive disturbances,and often have input and output constraints.Iterative learning and predictive control are used to design a controller that makes system outputs track a given set-point profile.Now,despite non-linearities,disturbances,and con-straints,batch reactors can satisfy their production requirements.Iterative learning control systems contain two variables,time and batch,and so can be regarded,in essence,as two-dimensional systems.A Lyapunov function is used to stabilize these systems and LMIs (linear matrix inequalities)are used to optimize their control actions.A continuous stirred-tank reactor (CSTR)model,tracking a given reference temperature traj-ectory,isutilized to illustrate the effectiveness of the proposed control method.