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针对具有执行器故障和外界扰动的线性重复过程,给出一种鲁棒迭代学习容错控制策略.首先,基于二维(2D)系统理论,设计鲁棒迭代学习容错控制器,将迭代学习控制系统等效转化为2D模型;然后,利用线性矩阵不等式(LMI)技术,分析和优化控制系统在时间和迭代方向上的容错性能以及对干扰的抑制性能,同时给出系统满足这些性能的充分条件,并进一步通过求解LMI凸优化问题获得控制器参数;最后,通过对旋转控制系统的仿真结果验证了所提出算法的有效性.
A robust iterative learning fault tolerant control strategy is proposed for linear repetitive processes with actuator failures and external perturbations.Firstly, based on the two-dimensional (2D) system theory, a robust iterative learning fault-tolerant controller is designed and an iterative learning control system Then the linear matrix inequality (LMI) technique is used to analyze and optimize the fault-tolerant performance of the control system in terms of time and iteration and the suppression of interference. At the same time, the sufficient conditions for the system to satisfy these performances are given. And further obtain the controller parameters by solving the LMI convex optimization problem. Finally, the effectiveness of the proposed algorithm is verified by the simulation results of the rotating control system.