Distributed model predictive control for polytopic uncertain systems subject to actuator saturation

• Published in: Journal of process control Vol. 23; no. 8; pp. 1075 - 1089
• Main Authors: Zhang, Langwen, Wang, Jingcheng, Li, Chuang
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2013
• Subjects: Actuator saturation; Distributed model predictive control; Linear matrix inequalities; Polytopic uncertain; Distributed model predictive control; Polytopic uncertain; Linear matrix inequalities; Actuator saturation
• ISSN: 0959-1524; 1873-2771
• DOI: 10.1016/j.jprocont.2013.06.003

•A robust distributed MPC algorithm for polytopic uncertain systems was developed.•Less conservative results were obtained for system subject to actuator saturation.•Computational complexity and time cost were reduced using distributed control.•Trade-off between computational time and performance was studied. In this paper, we present a distributed model predictive control (MPC) algorithm for polytopic uncertain systems subject to actuator saturation. The global system is decomposed into several subsystems. A set invariance condition for polytopic uncertain system with input saturation is identified and a min–max distributed MPC strategy is proposed. The distributed MPC controller is designed by solving a linear matrix inequalities (LMIs) optimization problem. An iterative algorithm is developed for making coordination among subsystems. Case studies are carried out to illustrate the effectiveness of the proposed algorithm.