Nonlinear internal model control using neural networks: Application to processes with delay and design issues

被引:94
作者
Rivals, I [1 ]
Personnaz, L [1 ]
机构
[1] Ecole Super Phys & Chim Ind, Elect Lab, F-75231 Paris 05, France
来源
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2000年 / 11卷 / 01期
关键词
affine models; internal model control; inverse model; model regerence control; neural networks; nonlinear systems; robustness; systems with delay; tracking;
D O I
10.1109/72.822512
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We propose a design procedure of neural internal model control systems for stable processes with delay. We show that the design of such nonadaptive indirect control systems necessitates only the training of the inverse of the model deprived from its delay, and that the presence of the delay thus does not increase the order of the inverse, The controller is then obtained by cascading this inverse with a rallying model which imposes the regulation dynamic behavior and ensures the robustness of the stability. ii change in the desired regulation dynamic behavior, or an improvement of the stability, can be obtained by simply tuning the rallying model, without retraining the whole model reference controller The robustness properties of internal model control systems being obtained when the inverse is perfect, me detail the precautions which must be taken for the training of the inverse so that it is accurate in the whole space visited during operation with the process, En the same spirit, me make an emphasis on neural models affine in the control input, whose perfect inverse is derived without training. The control of simulated processes illustrates the proposed design procedure and the properties of the neural internal model control system for processes without and with delay.
引用
收藏
页码:80 / 90
页数:11
相关论文
共 33 条
[1]  
ABU S, 1988, 871226 ADERSA DRET
[2]  
Alvarez J., 1995, Proceedings of the Third European Control Conference. ECC 95, P301
[3]   FEEDFORWARD AND FEEDBACK LINEARIZATION OF NONLINEAR-SYSTEMS AND ITS IMPLEMENTATION USING INTERNAL MODEL CONTROL (IMC) [J].
CALVET, JP ;
ARKUN, Y .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1988, 27 (10) :1822-1831
[4]   ADAPTIVE-CONTROL OF A CLASS OF NONLINEAR DISCRETE-TIME-SYSTEMS USING NEURAL NETWORKS [J].
CHEN, FC ;
KHALIL, HK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (05) :791-801
[5]  
Cybenko G., 1989, Mathematics of Control, Signals, and Systems, V2, P303, DOI 10.1007/BF02551274
[6]   INTERNAL MODEL CONTROL .5. EXTENSION TO NONLINEAR-SYSTEMS [J].
ECONOMOU, CG ;
MORARI, M ;
PALSSON, BO .
INDUSTRIAL & ENGINEERING CHEMISTRY PROCESS DESIGN AND DEVELOPMENT, 1986, 25 (02) :403-411
[7]  
Goodwin G C., 1984, ADAPTIVE FILTERING P
[8]   MULTILAYER FEEDFORWARD NETWORKS ARE UNIVERSAL APPROXIMATORS [J].
HORNIK, K ;
STINCHCOMBE, M ;
WHITE, H .
NEURAL NETWORKS, 1989, 2 (05) :359-366
[9]   NEURAL NETWORKS FOR NONLINEAR INTERNAL MODEL CONTROL [J].
HUNT, KJ ;
SBARBARO, D .
IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1991, 138 (05) :431-438
[10]  
HUNT KJ, 1992, NEURAL NETWORKS CONT, P94