Analytical approach to tuning of model predictive control for first-order plus dead time models

2013 ◽  
Vol 7 (14) ◽  
pp. 1806-1817 ◽  
Author(s):  
Peyman Bagheri ◽  
Ali Khaki Sedigh
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Analytical Approach ◽  
Dead Time ◽  
First Order

scholarly journals Analytical Tuning Method of MPC Controllers for MIMO First-Order Plus Fractional Dead Time Systems

Processes ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 212
Author(s):  
Ning He ◽  
Yichun Jiang ◽  
Lile He
Keyword(s):  
Predictive Control ◽  
Closed Loop ◽  
Dead Time ◽  
Pole Placement ◽  
Closed Loop System ◽  
Placement Problem ◽  
First Order ◽  
Tuning Method ◽  
Domain Performance ◽  
Time Systems

An analytical model predictive control (MPC) tuning method for multivariable first-order plus fractional dead time systems is presented in this paper. First, the decoupling condition of the closed-loop system is derived, based on which the considered multivariable MPC tuning problem is simplified to a pole placement problem. Given such a simplification, an analytical tuning method guaranteeing the closed-loop stability as well as pre-specified time-domain performance is developed. Finally, simulation examples are provided to show the effectiveness of the proposed method.

scholarly journals Model Predictive Control for First-Order Hyperbolic System Based on Quasi-Shannon Wavelet Basis

Processes ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1114
Author(s):  
Ling Ai ◽  
Kok Lay Teo ◽  
Liwei Deng ◽  
Desheng Zhang
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Heating System ◽  
Order System ◽  
Distributed Parameter ◽  
Wavelet Basis ◽  
First Order ◽  
Forward Difference ◽  
Shannon Wavelet ◽  
Predictive Controller

In this paper, we consider a class of first-order hyperbolic distributed parameter systems. Our focus is on the design of a new class of model predictive control schemes using a quasi-Shannon wavelet basis. First, the first-order hyperbolic distributed parameter system is transformed into an equivalent system using collocation techniques for the approximation of spatial derivatives and Euler forward difference method for the approximation of the time component. Then, a model reduction method is applied to obtain a reduced-order system on which a nonlinear model predictive controller is designed through solving a nonlinear quadratic programming problem with input constraints. For illustration, the temperature control of a flow-control long-duct heating system is considered to be an example. A comparative simulation study is conducted to demonstrate the effectiveness of the proposed method.

On the explicit dead-time compensation for robust model predictive control

2012 ◽  
Vol 22 (1) ◽  
pp. 236-246 ◽  
Author(s):  
Tito L.M. Santos ◽  
Daniel Limon ◽  
Julio E. Normey-Rico ◽  
Teodoro Alamo
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Dead Time ◽  
Robust Model Predictive Control ◽  
Robust Model ◽  
Dead Time Compensation
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