Operating Range Scheduled Robust Dahlin Algorithm to Typical Industrial Process with Input Constraint

다국어 초록 (Multilingual Abstract)

There is a class of typical nonlinear industrial process, which can be characterized by a first-order inertia plus pure delay model in an operating range, but the model parameters are different in different operating ranges. Usually, a set of Proportion Integration Differentiation (PID) controllers may be used to control the process, and the controllers have different parameters in different operating areas. However, the adjustment process of the PID controllers’ parameters is not an easy job in practice, and the control performance may also be not perfect. The Dahlin algorithm may provide very good control performance for the process, but its control performance may become very poor if the model parameters are not accurate and/or the input is constrained. Faced with this issue, this paper proposes an Operating-Range Scheduled Robust Dahlin Algorithm (ORSRDA) for the process control with input constraint, which is designed on the basis of a nominal first-order inertia plus pure delay model and the given parameters uncertainty. The process operating ranges are divided into pre-designed several zones accordingto the difference between output setting value and current output when a new setting appears. For each operating range, the parameters of ORSRDA are obtained by solving a min-max problem offline to guarantee the closedloop system’s robust stability and acquire the best step-response control performance. To eliminate the steady state error, the integration control action is added into the ORSRDA when the system output is close to its setting value. The proposed method is applied to temperature control of an experimental electric furnace to demonstrate its effectiveness and implement procedure.

참고문헌 (Reference)

1 Rui-Hua Wang, "Time-varying H∞ Control for Discrete-time Switched Systems with Admissible Edge-dependent Average Dwell Time" 제어·로봇·시스템학회 17 (17): 1921-1934, 2019

2 C. L. Liu, "Temperature control system of atmospheric petrochemical furnace based on Dahlin-Smith compensation" 23 (23): 89-93, 2009

3 Z. Q. Zheng, "Study on model mismatch time-delay control system based on Dahlin" 8 : 1-5, 2014

4 D. D. Wen, "Study on adaptive fuzzy-Dahlin control for system with time-varying" 792-795, 2009

5 Y. H. Tan, "Some research on Dahlin algorithm" 17 (17): 18-20, 1990

6 M. Suzuki, "Simultaneous optimization of slab permutation scheduling and heat controlling for a reheating furnace" 24 : 225-238, 2014

7 D. Y. Liang, "Simulation research of some aspects on Dahlin algorithm" 1 (1): 103-112, 1984

8 J. H. Yi, "Robust force control for a magnetically levitated manipulator using flux density measurement" 4 (4): 957-965, 1996

9 R. Fales, "Robust control design for a wheel loader using mixed sensitivity H-infinity and feedback linearization based methods" 4381-4386, 2005

10 T. Y. Chai, "Optimal setting model of reheat furnace temperature" 26 (26): 537-541, 2000

11 Yanfeng Wu, "Operator-based Robust Nonlinear Optimal Vibration Control for an Lshaped Arm Driven by Linear Pulse Motor" 제어·로봇·시스템학회 15 (15): 2026-2033, 2017

12 Cuauhtémoc Acosta Lúa, "Nonlinear Adaptive Controller Applied to an Antilock Braking System with Parameters Variations" 제어·로봇·시스템학회 15 (15): 2043-2052, 2017

13 J. J. He, "Neural adaptive PSD decoupling controller and its application in three-phase electrode adjusting system of submerged arc furnace" 20 : 405-412, 2013

14 Y. Y. Tan, "Model and algorithm for scheduling reheating furnace" 28 (28): 1549-1557, 2011

15 Bingbing Gao, "Interacting Multiple Model Estimation-based Adaptive Robust Unscented Kalman Filter" 제어·로봇·시스템학회 15 (15): 2013-2025, 2017

16 L. Wang, "Intelligent virtual reference feedback tuning and its application to heat treatment electric furnace control" 46 : 1-9, 2015

17 H. Xia, "Implementation of the Dahlin digital controller by IIR network method" 621-624, 2009

18 Y. W. Chen, "Hybrid intelligent preprocessing system of parameters in heating furnace control" 1433-1437, 2010

19 W. Shen, "Flow control based on Dahlin control algorithm in ATM networks" 2449-2454, 2002

20 Y. Y. Yang, "Development of a dynamic control model for walking beam reheating furnace" 3 (3): 51-53, 1988

21 E. B. Dahlin, "Designing and tuning digital controllers" 41 : 77-83, 1968

22 Y. Chen, "Design and simulation of Fuzzy Smith intelligent temperature controller" 14 (14): 422-429, 2007

23 L. J. Yang, "Dahlin algorithm application in a temperature control system" 26 (26): 450-454, 2005

24 X. Zhao, "Comparison and analysis of Dahlin and Dead-beat algorithm for control system" 1 : 37-49, 2016

25 J. D. Liu, "Boiler temperature control system with Dahlin algorithm"

26 S. S. Hu, "Automatic Control Theory" Science Press 348-357, 2007

27 G. C. Goodwin, "Application of nonlinear model predictive control to an industrial induction heating furnace" 37 : 271-277, 2013

28 S. S. Ning, "An optimal scheduling algorithm for reheating furnace in steel production" 21 (21): 1138-1142, 2006

29 L. Li, "A novel robust adaptive controller for EAF electrode regulator system based on approximate model method" 19 : 2158-2166, 2012

30 R. Q. Wang, "A new PID-type fuzzy neural network controller based on genetic algorithm with improved Smith predictor" 16-18, 2009

31 X. L. Yang, "A medical infusion heating system based on Dahlin algorithm" 1263-1267, 2008