Distributed multiparametric model predictive control design for a quadruple tank process

•A vector space partitioned centralized controller is designed.•An explicit cooperative distributed model predictive controller is designed.•Controller performances are compared under servo tracking.•Controller performances are compared for Disturbance rejection.•Robustness of the cooperative design...

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Bibliographic Details
Published in:Measurement : journal of the International Measurement Confederation 2014-01, Vol.47, p.841-854
Main Authors: Kirubakaran, V., Radhakrishnan, T.K., Sivakumaran, N.
Format: Article
Language:English
Subjects:
Benchmarking
Controllers
Decentralized
Design engineering
Distributed MPC
Mathematical models
Multiparametric
Partitioning
Quadruple tank
Tanks
Vector spaces
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Summary:•A vector space partitioned centralized controller is designed.•An explicit cooperative distributed model predictive controller is designed.•Controller performances are compared under servo tracking.•Controller performances are compared for Disturbance rejection.•Robustness of the cooperative design is studied. Distributed control for plant wide control has received attention lately. In this paper, multiparametric quadratic programming based controllers have been developed for a benchmark quadruple tank problem. A centralized control strategy is developed by partitioning its six dimensional vector space based on constraint satisfaction, stability and optimality. Control design is simplified using its decentralized version after a relative gain array analysis of the benchmark. A cooperative game theory based distributed model predictive controller and decentralized proportional integral (PI) controller are also designed for the same system. A decoupling based cooperative distributed multiparametric model predictive controller (mpMPC) is proposed. The controllers are subjected to reference tracking and disturbance rejection and the performance measures are compared. Also, the robustness of cooperative mpMPC to parameter uncertainties is discussed. Distributed design approach is a natural fit for the vector space partitioning based mpMPC design. Simulations results are analyzed and the performance of the five controllers is discussed.
ISSN:0263-2241
1873-412X
DOI:10.1016/j.measurement.2013.10.011