Simple fractional order controller combined with a Smith predictor for temperature control in a steel slab reheating furnace

2013 ◽  
Vol 11 (3) ◽  
pp. 533-544 ◽  
Author(s):  
Vicente Feliu-Batlle ◽  
Raul Rivas-Perez ◽  
Fernando J. Castillo-García
2019 ◽  
Vol 41 (16) ◽  
pp. 4521-4534 ◽  
Author(s):  
Vicente Feliu-Batlle ◽  
Raul Rivas-Perez

In this paper, a new strategy for robust control of temperature in a steel slab reheating furnace with large time delay uncertainty based on fractional-order controllers combined with a Smith predictor is proposed. A time delay model of the preheating zone of this process is used, obtained from an identification procedure applied in a real industrial furnace. It is shown that this process experiences very large time delay changes. A fractional-order integral controller embedded in a Smith predictor structure (FI-SP) is designed, which is robust to changes in such time delay. Simulated results of a standard Proportinal Integral Derivative (PID) controller, a PID controller embedded in a Smith predictor and the proposed FI-SP controller are compared. Six performance indexes have been used in this comparison. The analysis of these indexes shows that the designed FI-SP controller exhibits the most robust behavior (lowest indexes averaged in all the range of time delay variation) for ranges that include large time delays. Then the robustness features of the FI-SP controller outperform the other integer order controllers in the time responses both to set-point changes and to step disturbances. Therefore, this controller guarantees the best accuracy of temperature control. The designed FI-SP guarantees system stability and robust performance for a high range of plant time delay uncertainties.


2016 ◽  
Vol 14 (11) ◽  
pp. 4439-4447 ◽  
Author(s):  
I.O. Benitez ◽  
R. Rivas ◽  
V. Feliu ◽  
L.P. Sanchez ◽  
L.A. Sanchez

Author(s):  
L. Aguero Carhuavilca ◽  
E. Navarro Castro ◽  
A. Llanos Rodriguez ◽  
D. Barrera Esparta

Author(s):  
Jinsong Liang ◽  
Weiwei Zhang ◽  
YangQuan Chen ◽  
Igor Podlubny

In this paper, we analyze the robustness of the fractional wave equation with a fractional order boundary controller subject to delayed boundary measurement. Conditions are given to guarantee stability when the delay is small. For large delays, the Smith predictor is applied to solve the instability problem and the scheme is proved to be robust against a small difference between the assumed delay and the actual delay. The analysis shows that fractional order controllers are better than integer order controllers in the robustness against delays in the boundary measurement.


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