Robust model predictive control with randomly occurred networked packet loss in industrial cyber physical systems

Abstract

for a class of linear discrete-time systems that is subject to randomly occurred networked packet loss in industrial cyber physical systems, a novel robust model predictive control method with active compensation mechanism was proposed. The probability distribution of packet loss is described as the Bernoulli distributed white sequences. By using the Lyapunov stability theory, the existing sufficient conditions of the controller are derived from solving a group of linear matrix inequalities. Moreover, dropout-rate with uncertainty and unknown dropout-rate are also considered, which can greatly reduce the conservativeness of the controller. The designed robust model predictive control method not only efficiently eliminates the negative effects of the networked data loss in industrial cyber physical systems but also ensures the stability of closed-loop system. Two examples were provided to illustrate the superiority and effectiveness of the proposed method.

摘要

在工业信息物理系统中, 针对一类遭受随机网络丢包的线性离散时间系统, 提出了一种新颖的 具有主动补偿机制的鲁棒模型预测控制方法。首先, 将网络丢包的过程描述成伯努利概率分布; 然后, 通过利用Lyapunov 稳定性理论, 求解一组线性矩阵不等式获得控制器存在的充分条件。此外, 本文 考虑了丢包率具有不确定性和未知的两种情况, 大幅度降低了控制器的保守性。设计的鲁棒模型预测 控制方法不仅能有效地清除工业信息物理系统中的网络丢包问题带来的负面影响, 而且还能保证闭环 系统的稳定性。最后, 利用两个仿真例子证明提出方法的优越性和有效性。