A Game-Theoretic Decentralized Model Predictive Control of Thermal Appliances in Discrete-Event Systems Framework

This paper presents a decentralized model predictive control (MPC) scheme for thermal appliances coordination control in smart buildings. The general system structure consists of a set of local MPC controllers and a game-theoretic supervisory control constructed in the framework of discrete-event systems (DES). In this hierarchical control scheme, a set of local controllers work independently to maintain the thermal comfort level in different zones, and a centralized supervisory control is used to coordinate the local controllers according to the power capacity and the current performance. Global optimality is ensured by satisfying the Nash equilibrium at the coordination layer. The validity of the proposed method is assessed by a simulation experiment including two case studies. The results show that the developed control scheme can achieve a significant reduction of the peak power consumption while providing an adequate temperature regulation performance if the system is $\mathcal{P}$-observable.

[1]  Alberto Bemporad,et al.  Decentralized model predictive control of dynamically coupled linear systems , 2011 .

[2]  Andrew G. Alleyne,et al.  Optimal Partitioning for the Decentralized Thermal Control of Buildings , 2013, IEEE Transactions on Control Systems Technology.

[3]  Zhong Fan,et al.  A Game Theoretic Optimization Framework for Home Demand Management Incorporating Local Energy Resources , 2015, IEEE Transactions on Industrial Informatics.

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

[5]  Peng Shi,et al.  Adaptive output synchronization of heterogeneous network with an uncertain leader , 2017, Autom..

[6]  Jiming Chen,et al.  Residential Energy Consumption Scheduling: A Coupled-Constraint Game Approach , 2014, IEEE Transactions on Smart Grid.

[7]  Prashant Mhaskar,et al.  Predictive control methods to improve energy efficiency and reduce demand in buildings , 2013, Comput. Chem. Eng..

[8]  George J. Pappas,et al.  Green scheduling of control systems for peak demand reduction , 2011, IEEE Conference on Decision and Control and European Control Conference.

[9]  Giuseppe Tommaso Costanzo,et al.  A System Architecture for Autonomous Demand Side Load Management in Smart Buildings , 2012, IEEE Transactions on Smart Grid.

[10]  Petru-Daniel Morosan,et al.  Building temperature regulation using a distributed model predictive control , 2010 .

[11]  W. Murray Wonham,et al.  Think Globally, Act Locally: Decentralized Supervisory Control , 1991, 1991 American Control Conference.

[12]  P. Ramadge,et al.  Supervisory control of a class of discrete event processes , 1987 .

[13]  C. Desclaux,et al.  Supervisory control of discrete-event processes with partial observations , 1988 .

[14]  Yang Shi,et al.  Distributed MPC of Aggregated Heterogeneous Thermostatically Controlled Loads in Smart Grid , 2016, IEEE Transactions on Industrial Electronics.

[15]  Eduardo F. Camacho,et al.  Distributed model predictive control based on a cooperative game , 2011 .

[16]  Farrokh Janabi-Sharifi,et al.  Theory and applications of HVAC control systems – A review of model predictive control (MPC) , 2014 .

[17]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[18]  Christian Ghiaus,et al.  Model Predictive Control of thermal comfort as a benchmark for controller performance , 2014 .

[19]  Bruce Bueno de Mesquita,et al.  An Introduction to Game Theory , 2014 .

[20]  Jiming Chen,et al.  A Survey on Demand Response in Smart Grids: Mathematical Models and Approaches , 2015, IEEE Transactions on Industrial Informatics.

[21]  Guchuan Zhu,et al.  Discrete-Event Systems-Based Power Admission Control of Thermal Appliances in Smart Buildings , 2017, IEEE Transactions on Smart Grid.

[22]  Anirban Mahanti,et al.  Game Theoretic Model Predictive Control for Distributed Energy Demand-Side Management , 2015, IEEE Transactions on Smart Grid.

[23]  Daniel E. Fisher,et al.  EnergyPlus: creating a new-generation building energy simulation program , 2001 .

[24]  Rajnikant V. Patel,et al.  Robust decentralized control of HVAC systems using H∞-performance measures , 2004, J. Frankl. Inst..

[25]  Giuseppe Tommaso Costanzo,et al.  Power Admission Control With Predictive Thermal Management in Smart Buildings , 2015, IEEE Transactions on Industrial Electronics.

[26]  Yoav Shoham,et al.  Simple search methods for finding a Nash equilibrium , 2004, Games Econ. Behav..

[27]  Luca Ferrarini,et al.  Temperature Control of a Commercial Building With Model Predictive Control Techniques , 2015, IEEE Transactions on Industrial Electronics.

[28]  S. Ricker Asymptotic minimal communication for decentralized discrete-event control , 2008, 2008 9th International Workshop on Discrete Event Systems.

[29]  Steven Liu,et al.  Energy Management for Smart Grids With Electric Vehicles Based on Hierarchical MPC , 2013, IEEE Transactions on Industrial Informatics.