Decentralized PID Controller Tuning Based on Desired Dynamic Equations

Abstract The paper aims to show the ability of the desired-dynamic-equations (DDE) based decentralized PID controller tuning method with its application to the ALSTOM gasifier benchmark control problem. The DDE-based PID controller tuning method was deduced from a kind of nonlinear adaptive controller with relative degree of two, which behaves good tracking performance and robustness by using an extended state observer and DDE to estimate and compensate the uncertainty and disturbance. The tunable parameters of DDE-based PID controller have explicit and distinctive physical meanings, thus can be tuned separately rather than iteratively as traditional PID controller does. The tuning method is firstly applied to the ALSTOM gasifier benchmark control problem with linear model, simulation shows that it exceeds output limits only twice (the least in literature) at 0% load with the step and sinusoidal disturbance; then the same controller is applied without any modification to nonlinear gasifier model, and the simulations show that it not only meets all control specifications, but also follows load change rapidly and shows good adaptability to the coal quality change.

[1]  Donghai Li,et al.  OPTIMIZATION OF DECENTRALIZED PI/PID CONTROLLERS BASED ON GENETIC ALGORITHM , 2008 .

[2]  Andrew Pike,et al.  INTRODUCTION TO THE 2 ND ALSTOM BENCHMARK CHALLENGE ON GASIFIER CONTROL , 2004 .

[3]  Roger Dixon,et al.  Dynamic modelling and simulation of the air blown gasification cycle prototype integrated plant , 1998 .

[4]  Paolo Valigi,et al.  A decentralized controller for the robust stabilization of a class of MIMO dynamical systems , 1992, 1992 American Control Conference.

[5]  Aidan O'Dwyer,et al.  Handbook of PI and PID controller tuning rules , 2003 .

[6]  J. A. Rossiter,et al.  An advanced predictive control approach to the ALSTOM gasifier problem , 2000 .

[7]  E. M. Shaban,et al.  Multivariable proportional-integral-plus (PIP) control of the ALSTOM nonlinear gasifier simulation , 2006 .

[8]  I. Postlethwaite,et al.  H1 CONTROL AND ANTI-WINDUP COMPENSATION OF THE NONLINEAR ALSTOM GASIFIER MODEL , 2004 .

[9]  Guo-Ping Liu,et al.  Multi-objective optimal-tuning proportional-integral controller design for the ALSTOM gasifier problem , 2000 .

[10]  Yi Cao,et al.  Predictive control for the ALSTOM gasifier problem , 2006 .

[11]  Chih-Hung Chiang,et al.  A direct method for multi-loop PI/PID controller design , 2003 .

[12]  Ian Postlethwaite,et al.  Robust control of the gasifier using a mixed-sensitivity H∞ approach , 2000 .

[13]  E. M. Shaban,et al.  MULTIVARIABLE PROPORTIONAL-INTEGRAL-PLUS ( PIP ) CONTROL OF THE ALSTOM NONLINEAR GASIFIER MODEL , 2004 .

[14]  Raymond Gorez,et al.  Nonmodel-Based Explicit Design Relations for PID Controllers , 2000 .

[15]  Peter C. Young,et al.  Proportional-integral-plus (PIP) control of the ALSTOM gasifier problem , 2000 .

[16]  Jiawen Dong,et al.  Design of robust multivariable PID controllers via IMC , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[17]  F. Leonard Optimum PIDS controllers, an alternative for unstable delayed systems , 1994, 1994 Proceedings of IEEE International Conference on Control and Applications.

[18]  H. Marquez,et al.  Robust Controller Design And Pid Tuning For Multivariable Processes , 2002 .

[19]  Roger Dixon,et al.  The ALSTOM benchmark challenge on gasifier control , 2000 .

[20]  B. N. Asmar,et al.  A process engineering approach to the ALSTOM gasifier problem , 2000 .

[21]  A. Farag,et al.  Structure selection and tuning of multi-variable PID controllers for an industrial benchmark problem , 2006 .

[22]  J. A. Wilson,et al.  State estimation-based control of a coal gasifier , 2006 .