Coalitional control: An irrigation canal case study

Abstract

Ahstract-We present a hierarchical distributed control scheme for large-scale systems in which the network topology is adjusted to fit to the dynamic coupling among the subsystems, considering the cost of data transmission. Each group of linked subsystems forms a coalition controlled by a closed-loop MPC scheme at the lower layer. The goal is to find a trade-off between the control performance and a reduced communicational cost. To set the proposed approach in a real scenario, the control scheme is tested on a model of an existing irrigation canal.

Constraints on the shapley value for a coalitional control system

“…We also refer to [7], where a hierarchical MPC based on time-variant structures is proposed for the control of a large-scale system. In this line is also this work, where we restrict our attention to the coalitional control scheme proposed in [8], [9] and extended to a MPC framework in [10]. In this scheme, only the links with a meaningful contribution to the overall system performance are enabled.…”

An Iterative Design Method for Coalitional Control Networks with Constraints on the Shapley Value

“…and Richards (2009), where groups of cooperative agents are formed using the set of active constraints; or Nuñez et al (2013), where several possible hierarchical control structures are considered in order to implement the most appropriate one. Recently, this setting has been extended to a MPC framework in Fele et al (2013).…”