Time-varying partitioning for predictive control design: Density-games approach

Abstract

The design of distributed optimization-based controllers for large-scale systems (LSSs) implies every time new challenges. The fact that LSSs are generally located throughout large geographical areas makes difficult the recollection of measurements and their transmission. In this regard, the communication network that is required for a centralized control approach might have high associated economic costs. Furthermore, the computation of a large amount of data implies a high computational burden to manage, process and use them in order to make decisions over the system operation. A plausible solution to mitigate the aforementioned issues associated with the control of LSSs consists in dividing this type of systems into smaller subsystems able to be handled by independent local controllers. This paper studies two fundamental components of the design of distributed optimization-based controllers for LSSs, i.e., the system partitioning and distributed optimization algorithms. The design of distributed model predictive control (DMPC) strategies with a system partitioning and by using density-dependent population games (DDPG) is presented.

Mean-Field-Type Model Predictive Control: An Application to Water Distribution Networks

“…We apply the MFT-MPC controller to the Large-Scale WDN of Barcelona (see Figure 2), which has been widely used as a large-scale case study for the analysis of optimization-based controllers, e.g., [21], [25]. This case study has been proposed by the Automatic Control Research group from the Institut de Robòtica i Informàtica Industrial [26]- [28].…”

El control coalicional en el marco de la teoría de juegos cooperativos

“…Típicamente, los esquemas distribuidos consideran que los grupos de agentes que colaboran se mantienen fijos en el tiempo, es decir, no se modifica la forma en la que los agentes se agrupan (Negenborn et al, 2009;Maestre et al, 2011). Sin embargo, en losúltimos años han aparecido diversas estrategias que consideran de forma explícita una evolución dinámica de vecindades entre agentes, tales como los sistemas switching (Philippe et al, 2016), el particionado variable en el tiempo (Barreiro-Gomez et al, 2019), los esquemas plug-andplay (Riverso et al, 2013(Riverso et al, , 2014, o el control por agrupamiento o clustering (Dörfler et al, 2014;Zheng et al, 2018).…”

A non-centralized predictive control strategy for wind farm active power control: A wake-based partitioning approach

“…This idea has been applied to several large-scale systems, e.g., traffic systems, energy systems, smart grids and water systems [7,8,9]. The application of partitioning techniques for controlling wind farms in a decentralized manner has been started only recently [10,11,12].…”