Model Predictive Control of Cocurrent First-Order Hyperbolic PDE Systems

2005 ◽  
Vol 44 (6) ◽  
pp. 1812-1822 ◽  
Author(s):  
Jinhoon Choi ◽  
Kwang Soon Lee
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Hyperbolic Pde ◽  
First Order ◽  
Pde Systems

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.

scholarly journals Model Predictive Control of Priced Timed Automata Encoded With First-Order Logic

2021 ◽  
pp. 1-8
Author(s):  
Efe C. Balta ◽  
Ilya Kovalenko ◽  
Isaac A. Spiegel ◽  
Dawn M. Tilbury ◽  
Kira Barton
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Timed Automata ◽  
Order Logic ◽  
First Order Logic ◽  
First Order
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