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D-SIORHC, Distributed MPC with Stability Constraints Based on a Game Approach

  • J. M. LemosEmail author
  • J. M. Igreja
Chapter
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 69)

Abstract

This chapter describes D-SIORHC, a distributed MPC algorithm with stability constraints based on a game approach. This controller is designed for chained linear systems, in which each local subsystem interacts only with their neighbors. At the beginning of each sampling interval, each local controller agent computes the value of the corresponding manipulated variable in an iterative process where, in each iteration, it optimizes a quadratic cost by assuming that the neighbor controllers will use for their manipulated variables the value which they have computed in the previous iteration. Therefore, in a game theory framework, if this coordination procedure converges, a Nash equilibrium is reached. The use of linear plant models and the absence of inequality operational constraints allows to compute the manipulated variables in an explicit way, in each iteration of the coordination procedure, thereby reducing the computational load. This approach differs from other distributed MPC algorithms based on linear models in the inclusion of stability constraints in the local controllers that leads to a different control law. The controller usage is illustrated through its application to a water delivery canal.

Keywords

Nash Equilibrium Tracking Error Coincidence Point Prediction Horizon Stability Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was supported by FCT—Fundação para a Ciência e a Tecnologia, Portugal, under project AQUANET: Decentralized and reconfigurable control for water delivery multipurpose canal systems, contract PTDC/EEA-CRO/102102/2008, and INESC-ID multi-annual funding through PEst-OE/EEI/LA0021/2011.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.INESC-ID/IST/UTLLisboaPortugal
  2. 2.INESC-ID/ISEL/IPLLisboaPortugal

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