Robust distributed model predictive control under actuator saturations and packet dropouts with time‐varying probabilities

• DOI: 10.1049/iet-cta.2015.0706
• Publication Date: 2016-01-26T15:05:28Z
• Authors: Huaxiang Han; Xiaohua Zhang; Weidong Zhang
• Keywords: 0209 industrial biotechnology; 02 engineering and technology

In this study, the authors investigate distributed model predictive control for polytopic uncertain systems subject to actuator saturations and packet dropouts with time‐varying probabilities in controller‐to‐actuator channels. For the sake of less computational efforts and a flexible system structure, the global system is decomposed into several lower‐dimensional subsystems and the subsystems optimise a global performance function in parallel. A novel augmented distributed controller model is proposed to describe both the actuator saturations and packet dropouts in one unified expression by adopting a stochastic variable taking the value 1 or 0 with time‐varying probabilities and accordingly a new result is obtained. By placing the saturated linear feedback law into the convex hull of a group of linear feedback laws, the distributed controller for each subsystem is obtained from the solution of the convex optimisation problem involving linear matrix inequalities. A numerical example is supplied to demonstrate the effectiveness of the developed techniques.