Abstract
This paper proposes a strategy of event-triggered distributed predictive control (DPC) for large-scale systems with dynamic couplings. The event-triggering condition which only involves local infor...
Highlights
A distributed tube model predictive control method was studied in Trodden and Maestre (2017) for weakly coupled systems, and subsystems optimize the control inputs as well as the sizes of the state and input constraint sets which leads to minimal mutual disturbance set
In Conte, Jones, Morari, and Zeilinger (2016), a Distributed predictive control (DPC) strategy based on a separable terminal cost function, combined with novel time-varying local terminal sets is proposed to overcome the influence of strong dynamic couplings between subsystems
The main contributions of this paper can be summarized as follows: (1) The optimization problem based on event-triggering instant is constructed and a constraint which handles effectiveness of dynamic couplings and disturbances is introduced in the optimization to guarantee the robustness of systems
Summary
With the development of information science and technology, a class of complex large-scale control system where each subsystem interacts with some other subsystems by their states and/or inputs has recently become an active research area in control theory, such as chemical systems, transportation systems, and smart grid systems (Real, Arce, & Bordons, 2014; Zhang & Liu, 2014; Zhang, Zhang, & Wang, 2013). The existence of dynamic couplings increases the difficulty of the recursive feasibility of predictive control optimization problem and close-loop stability under the event-triggered mechanism. The main contributions of this paper can be summarized as follows: (1) The optimization problem based on event-triggering instant is constructed and a constraint which handles effectiveness of dynamic couplings and disturbances is introduced in the optimization to guarantee the robustness of systems. Each subsystem works in a totally decoupled way to reduce the complexity of problem; (2) The event-triggered conditions which related to the prediction error between current actual state and predicted state are derived based on ISS and sufficient conditions to guarantee the recursive feasibility of DPC optimization problem and stability of closed-loop system can be derived; (3) The proposed event-triggered robust DPC strategy can effectively reduce the number of solving optimization problems. The xTQx stand for the Euclidean norm maximum eigenvalue and minimum and Q-weighted norm of eigenvalue of Q, respectively; maxi[âŻ], maxi,j[âŻ] denotes the maximum element, subscripts indicate the range of elements; Card{âŻ} denotes the number of elements of the set
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