The Role of Population Games in the Design of Optimization-Based Controllers

Description

This book reports on the implementation of evolutionary-game theory in the design of distributed optimization-based controllers. First, it discusses how the classical population-game approach can contribute to and complement the design of optimization-based controllers. It shows how the features of this approach can be exploited to extend their capabilities in the solution of distributed optimization problems, and examines density games in order to consider multiple coupled constraints and preserve the non-centralized information requirements. Furthermore, it establishes a close relationship between the possible interactions among agents in a population with constrained information sharing among different local controllers. It also discusses coalitional games, focusing on the Shapley power index and proposes an alternative method of computing the latter, which reduces computational time, as well as a different way of finding it using distributed communication structures. All the proposed strategies are then tested on various control problems, such as those related to the Barcelona water supply network, multiple continuous stirred tank reactors, various unmanned aerial vehicle systems, and a water distribution system. This thesis, examined at the Universitat Politècnica de Catalunya and Universidad de los Andes in 2017, received the award for best thesis in control from the control group of the Spanish Committee of Automatic Control (CEA) in the same year. Front Matter ....Pages i-xxix Front Matter ....Pages 1-1 Introduction (Julian Barreiro-Gomez)....Pages 3-9 Literature Review and Background (Julian Barreiro-Gomez)....Pages 11-34 Front Matter ....Pages 35-35 Dynamical Tuning for Multi-objective MPC Controllers (Julian Barreiro-Gomez)....Pages 37-58 Distributed Predictive Control Using Population Games (Julian Barreiro-Gomez)....Pages 59-96 Distributed Formation Control Using Population Games (Julian Barreiro-Gomez)....Pages 97-110 Distributed Predictive Control Using Density-Dependent Population Games (Julian Barreiro-Gomez)....Pages 111-132 Power Index in Control (Julian Barreiro-Gomez)....Pages 133-159 Front Matter ....Pages 161-161 Partitioning for Large-Scale Systems: Sequential DMPC Design (Julian Barreiro-Gomez)....Pages 163-178 Distributed System Partitioning and DMPC (Julian Barreiro-Gomez)....Pages 179-192 Front Matter ....Pages 193-193 Contributions and Concluding Remarks (Julian Barreiro-Gomez)....Pages 195-199 Back Matter ....Pages 201-201