Time-varying scheme for non-centralized model predictive control of large-scale systems

The Non-Centralized Model Predictive Control (NC-MPC) framework refers in this paper to any distributed, hierarchical, or decentralized model predictive controller (or a combination of them) the structure of which can change over time and the control actions of which are not obtained based on a centralized computation. Within this framework, we propose suitable on-line methods to decide which information is shared and how this information is used between the different local predictive controllers operating in a decentralized, distributed, and/or hierarchical way. Evaluating all the possible structures of the NC-MPC controller leads into a combinatorial optimization problem. Therefore, we also propose heuristic reduction methods, to keep tractable the number of NC-MPC problems to be solved. To show the benefits of the proposed framework, a case study of a set of coupled water tanks is presented.

[1]  Eduardo F. Camacho,et al.  An assessment of coalitional control in water systems , 2015, 2015 European Control Conference (ECC).

[2]  Jairo Espinosa,et al.  A comparative analysis of distributed MPC techniques applied to the HD-MPC four-tank benchmark , 2011 .

[3]  Karim Salahshoor,et al.  A novel graph-based partitioning algorithm for large-scale dynamical systems , 2015, Int. J. Syst. Sci..

[4]  Moritz Diehl,et al.  A comparison of distributed MPC schemes on a hydro‐power plant benchmark , 2015 .

[5]  Riccardo Scattolini,et al.  Architectures for distributed and hierarchical Model Predictive Control - A review , 2009 .

[6]  Paul A. Trodden,et al.  Adaptive cooperation in robust distributed model predictive control , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

[7]  Fernando Daniel Bianchi,et al.  Model selection: From LTI to switched-LPV , 2012, 2012 American Control Conference (ACC).

[8]  Eduardo F. Camacho,et al.  Coalitional model predictive control of an irrigation canal , 2014 .

[9]  J. M. Maestre,et al.  Distributed Model Predictive Control: An Overview and Roadmap of Future Research Opportunities , 2014, IEEE Control Systems.

[10]  Huiping Li,et al.  Distributed receding horizon control of large-scale nonlinear systems: Handling communication delays and disturbances , 2014, Autom..

[11]  Takayuki Ishizaki,et al.  Hierarchical distributed control for networked linear systems , 2014, 53rd IEEE Conference on Decision and Control.

[12]  Bart De Schutter,et al.  A Multiobjective-Based Switching Topology for Hierarchical Model Predictive Control Applied to a Hydro-Power Valley , 2013, ICONS.

[13]  Ozan Demir,et al.  Optimal and event-based networked control of physically interconnected systems and multi-agent systems , 2014, Int. J. Control.

[14]  Eduardo F. Camacho,et al.  A coalitional control scheme with applications to cooperative game theory , 2014 .

[15]  C. Ocampo‐Martinez,et al.  Application of predictive control strategies to the management of complex networks in the urban water cycle [Applications of Control] , 2013, IEEE Control Systems.

[16]  Dragoslav D. Siljak,et al.  Nested ε-decompositions and clustering of complex systems , 1986, Autom..

[17]  Rudy R. Negenborn,et al.  Distributed Model Predictive Control Made Easy , 2013 .

[18]  Lin Huang,et al.  Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Chiara Ravazzi,et al.  Distributed randomized algorithms for opinion formation, centrality computation and power systems estimation: A tutorial overview , 2015, Eur. J. Control.

[20]  Bart De Schutter,et al.  Multi-agent model predictive control for transportation networks: Serial versus parallel schemes , 2008, Eng. Appl. Artif. Intell..

[21]  C. Ocampo‐Martinez,et al.  Partitioning Approach oriented to the Decentralised Predictive Control of Large-Scale Systems , 2011 .

[22]  Jan Lunze,et al.  Design of the communication structure of a self-organizing networked controller for heterogeneous agents , 2015, 2015 European Control Conference (ECC).

[23]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[24]  Vicenç Puig,et al.  Multi-layer decentralized MPC of large-scale networked systems , 2014 .

[25]  Eduardo F. Camacho,et al.  Distributed model predictive control based on agent negotiation , 2011 .

[26]  Juan Manuel,et al.  On model predictive control for economic and robust operation of generalised flow-based networks , 2015 .

[27]  Antonis Papachristodoulou,et al.  Model decomposition and reduction tools for large-scale networks in systems biology , 2011, Autom..

[28]  Olaf Stursberg,et al.  Optimized distributed control and topology design for hierarchically interconnected systems , 2013, 2013 European Control Conference (ECC).

[29]  Bart De Schutter,et al.  Distributed model predictive control of irrigation canals , 2009, Networks Heterog. Media.

[30]  Lakshminarayanan Samavedham,et al.  Optimizing the Communication Topology in a Coordinated Model Predictive Control Architecture , 2014 .

[31]  Eduardo F. Camacho,et al.  An Iterative Design Method for Coalitional Control Networks with Constraints on the Shapley Value , 2014 .

[32]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .