针对T-S模糊系统的终端控制问题,提出了一种基于正交多项式的迭代学习算法.该算法把待求控制量表示为一组正交多项式的线性组合,将求控制量问题转化为求正交多项式系数问题.在此基础上,用迭代学习的方式来修正控制量的正交多项式系数,并采用LMI方法求解学习增益矩阵.最后,以单关节机器人为例说明了所提算法的有效性.
An iterative learning control algorithm based on orthogonal polynomials is developed to address the terminal control problem of T - S fuzzy system. First, the method represents the control function as a linear combination of pre - determined orthogonal polynomials function basis. Then, the control problem becomes one of finding the orthogonal polynomials coefficients of control function. The polynomials coefficients of control function are adjusted by an iterative learning law and the learning gain matrix is designed via LMI optimization. Finally, simulation results of a single robot are presented to demonstrate the effectiveness of the proposed scheme.