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 scheme is proposed for linear processes with actuator faults and external disturbances. Firstly, the robust iterative learning fault-tolerant controller is designed based on the two dimension(2D) system theory, and the iterative learning control system is transformed to an equivalent two dimensional model. Then the fault-tolerant performance along both time and cycle directions and disturbance rejection performance of the controlled system is analyzed and optimized by using linear matrix inequality(LMI) technique. Meanwhile, the sufficient conditions for the system to satisfy these performances are given, and the controller parameters are derived from the LMI convex optimization problems further. Finally, the simulation results of the rotational control system show the effectiveness of the proposed method.