A closed-loop integration of scheduling and control for hydraulic fracturing using offset-free model predictive control

2021 ◽  
Vol 302 ◽  
pp. 117487
Author(s):  
Kaiyu Cao ◽  
Sang Hwan Son ◽  
Jiyoung Moon ◽  
Joseph Sang-Il Kwon
Author(s):  
Michael E. Cholette ◽  
Dragan Djurdjanovic

In this paper, a model-predictive control (MPC) method is detailed for the control of nonlinear systems with stability considerations. It will be assumed that the plant is described by a local input/output ARX-type model, with the control potentially included in the premise variables, which enables the control of systems that are nonlinear in both the state and control input. Additionally, for the case of set point regulation, a suboptimal controller is derived which has the dual purpose of ensuring stability and enabling finite-iteration termination of the iterative procedure used to solve the nonlinear optimization problem that is used to determine the control signal.


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