Dantzig–Wolfe decomposition and plant-wide MPC coordination

Cheng, Ruoyu; Forbes, J. Fraser; Yip, Wai San

doi:10.1016/j.compchemeng.2007.07.003

Cited by 43 publications

(30 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The communication-based MPC was further improved by a cooperation-based MPC that leads to the Pareto optimal feasible solution. Cheng et al (2008Cheng et al ( , 2007 proposed a coordinated scheme for MPC steady state target calculation based on Dantzig-Wolfe decomposition and price-driven coordination methods, respectively.…”

Section: Distributed Mpc Controlmentioning

confidence: 99%

Coordination of Distributed Model Predictive Controllers for Constrained Dynamic Processes

Marcos

Forbes

Guay

2009

IFAC Proceedings Volumes

View full text Add to dashboard Cite

In this paper, a coordinated-distributed model predictive control (MPC) scheme is presented for large-scale discrete-time linear process systems. Coordinated-distributed MPC control aims at enhancing the performance of fully decentralized MPC controllers by achieving the plant-wide optimal operations. The 'price-driven' decomposition-coordination method is used to adjust the operations of the individual processing units in order to satisfy an overall plant performance objective. Newton's method, together with a sensitivity analysis technique, are used to efficiently update the price in the price-driven decomposition-coordination method. The efficiency of the proposed control scheme is evaluated using a model of a fluid catalytic cracking process.

show abstract

Section: Distributed Mpc Controlmentioning

confidence: 99%

Coordination of Distributed Model Predictive Controllers for Constrained Dynamic Processes

Marcos

Forbes

Guay

2009

IFAC Proceedings Volumes

View full text Add to dashboard Cite

show abstract

“…Algorithm 1 requires a set of initial points {z 0 j }M j=1 that are feasible for both the subproblems (11) and the original problem (7). As economic MPC is a receding horizon strategy, we can generate such a set of points by exploiting the solution from a previous time step.…”

Section: A Warm-startingmentioning

confidence: 99%

“…To solve the decomposed problem efficiently we use a column generation procedure, which is warm-started by a strategy that utilizes problem specific features. Similar algorithms have been applied to coordinate the target calculation in setpoint based MPC [7], [8], building climate control [9], and hierarchical MPC-based control [10].…”

Section: Introductionmentioning

confidence: 99%

A decomposition algorithm for optimal control of distributed energy system

Sokoler

Edlund

Standardi

et al. 2013

IEEE PES ISGT Europe 2013

View full text Add to dashboard Cite

In economic model predictive control of distributed energy systems, the constrained optimal control problem can be expressed as a linear program with a block-angular structure. In this paper, we present an efficient Dantzig-Wolfe decomposition algorithm specifically tailored to problems of this type. Simulations show that a MATLAB implementation of the algorithm is significantly faster than several state-of-the-art linear programming solvers and that it scales in a favorable way.

show abstract

“…The decentralised MPC strategy may be applied in dealing with large-scale industrial systems. However, the Dantzig-Wolfe decomposition approach [16] used in plantwide MPC is based on column generation method and can only be applied to linear control systems with linear objective and linear state-space model, whereas the nest decomposition as shown in [17] usually deals with the uncertain problems existing in the practical world. In [18], the author proves that usually the Nash equilibrium of the subsystems with their local performance index is different from the optimal solution of the overall problem.…”

Section: Introductionmentioning

confidence: 99%

Coordinate model predictive control with neighbourhood optimisation for a signal split in urban traffic networks

Zhou¹,

Lu²

2012

IET Intelligent Transport Systems

View full text Add to dashboard Cite

It has been recognised that a model predictive control (MPC) approach can be successfully applied to many areas in the signal control of urban traffic networks. In this study, the authors propose a novel distributed MPC algorithm with decomposition of the signal control problem in the urban traffic networks. The objective of each subsystem takes into account the information of neighbouring subsystems, being this way affected by their non-local decisions. The proof is also given to show that the solution of the new approach will converge to a global optimum after adequate iterations. Moreover, the simulation result shows that our method solves the problem with an acceptable solution performance.

show abstract

Dantzig–Wolfe decomposition and plant-wide MPC coordination

Cited by 43 publications

References 7 publications

Coordination of Distributed Model Predictive Controllers for Constrained Dynamic Processes

Coordination of Distributed Model Predictive Controllers for Constrained Dynamic Processes

A decomposition algorithm for optimal control of distributed energy system

Coordinate model predictive control with neighbourhood optimisation for a signal split in urban traffic networks

Contact Info

Product

Resources

About