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

• Published in: Journal of Central South University Vol. 26; no. 7; pp. 1921 - 1933
• Main Authors: Cai, Hong-bin, Li, Ping, Su, Cheng-li, Cao, Jiang-tao
• Format: Journal Article
• Language: English
• Published: Changsha Central South University 01.07.2019; Springer Nature B.V
• Subjects: Active control; Control stability; Control systems design; Controllers; Cyber-physical systems; Data loss; Discrete time systems; Engineering; Feedback control; Linear matrix inequalities; Mathematical analysis; Matrix methods; Metallic Materials; Predictive control; Robust control; 网络控制系统; 线性矩阵不等式(LMIs); nrobust model predictive control; packet loss; networked control system; 丢包; linear matrix inequalities (LMIs); 鲁棒模型预测控制
• ISSN: 2095-2899; 2227-5223
• DOI: 10.1007/s11771-019-4121-8

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.