In the present paper, we discuss a new design method for a proportional-integral-derivative (PID) control system using a model predictive approach. The PID compensator is designed based on generalized predictive control (GPC). The PID parameters are adaptively updated such that the control performance is improved because the design parameters of GPC are selected automatically in order to attain a user-specified control performance. In the proposed scheme, the estimated plant parameters are updated only when the prediction error increases. Therefore, the control system is not updated frequently. The control system is updated only when the control performance is sufficiently improved. The effectiveness of the proposed method is demonstrated numerically. Finally, the proposed method is applied to a weigh feeder, and experimental results are presented.

References

References
1.
Åström
,
K. J.
, and
Hägglund
,
T.
,
1995
,
PID Controllers: Theory, Design and Tuning
,
2nd ed.
,
Instrument Society of America
, Research Triangle Park, NC.
2.
O'Dwyer
,
A.
,
2003
,
Handbook of PI and PID Controller Tuning Rules
,
Imperial College Press
,
London, UK
.
3.
Johnson
,
M. A.
, and
Moradi
,
M. H.
, eds.,
2005
,
PID Control: New Identification and Design Methods
,
Springer-Verlag
,
London
.
4.
Silva
,
G. J.
,
Datta
,
A.
, and
Bhattacharyya
,
S.
,
2005
,
PID Controllers for Time-Delay Systems
,
Birkhäuser
,
Boston
.
5.
Yu
,
C. C.
,
2006
,
Autotuning of PID Controllers
,
2nd ed.
,
Springer
,
London
.
6.
Visioli
,
A.
,
2006
,
Practical PID Control
,
Springer-Verlag
,
London
.
7.
Vilanova
,
R.
, and
Visioli
,
A.
, eds.,
2012
,
PID Control in the Third Millennium
,
Springer
, London, UK.
8.
IFAC,
2012
,
Proceedings of the IFAC Conference on Advances in PID Control
, Brescia, Italy.
9.
Peng
,
J. Y.
,
2014
, “
Integrated PID-Based Sliding Mode State Estimation and Control for Piezoelectric Actuators
,”
IEEE/ASME Trans. Mechatronics
,
19
(
1
), pp.
88
99
.10.1109/TMECH.2012.2222428
10.
Boloa
,
Y.
,
Puig
,
V.
, and
Blesa
,
J.
,
2014
, “
Gain-Scheduled Smith Predictor PID-Based LPV Controller for Open-Flow Canal Control
,”
IEEE Trans. Control Syst. Technol.
,
22
(
2
), pp.
468
477
.10.1109/TCST.2013.2257776
11.
Clarke
,
D. W.
,
Mohtadi
,
C.
, and
Tuffs
,
P. S.
,
1987
, “
Generalized Predictive Control—Part I. The Basic Algorithm
,”
Automatica
,
23
(
2
), pp.
137
148
.10.1016/0005-1098(87)90087-2
12.
Clarke
,
D. W.
,
Mohtadi
,
C.
, and
Tuffs
,
P. S.
,
1987
, “
Generalized Predictive Control—Part II. Extensions and Interpretations
,”
Automatica
,
23
(
2
), pp.
149
160
.10.1016/0005-1098(87)90088-4
13.
Camacho
,
E. F.
, and
Bordons
,
C.
,
2000
,
Model Predictive Control
,
2nd ed.
,
Springer-Verlag
, London, UK.
14.
Tan
,
K.
,
Huang
,
S.
, and
Lee
,
T.
,
2000
, “
Development of a GPC-Based PID Controller for Unstable Systems With Deadtime
,”
ISA Trans.
,
39
(1)
, pp.
57
70
.10.1016/S0019-0578(99)00036-1
15.
Tan
,
K.
,
Lee
,
T.
,
Huang
,
S.
, and
Leu
,
F.
,
2002
, “
PID Control Design Based on a GPC Approach
,”
Ind. Eng. Chem. Res.
,
41
(
8
), pp.
2013
2022
.10.1021/ie010480i
16.
Sato
,
T.
,
2009
, “
Strongly Stable GPC-Based PID Controller
,”
Int. J. Adv. Mechatronic Syst.
,
1
(
3
), pp.
183
193
.10.1504/IJAMECHS.2009.023201
17.
Sato
,
T.
,
2010
, “
Design of a GPC-Based PID Controller for Controlling a Weigh Feeder
,”
Control Eng. Pract.
,
18
(
2
), pp.
105
113
.10.1016/j.conengprac.2009.12.001
18.
Yamamoto
,
T.
,
2007
, “
Design of a Performance-Adaptive PID Control System Based on Modeling Performance Assessment
,”
IEEJ Trans. EIS
,
127
(
12
), pp.
2101
2108
(in Japanese).10.1541/ieejeiss.127.2101
19.
Sato
,
T.
,
Kitano
,
S.
,
Yamamoto
,
T.
,
Araki
,
N.
, and
Konishi
,
Y.
,
2011
, “
Implementation of Performance-Adaptive PI Control on a Weigh Feeder
,”
Int. J. Adv. Mechatronic Syst.
,
3
(
3
), pp.
181
187
.10.1504/IJAMECHS.2011.042614
20.
Kitano
,
S.
,
Sato
,
T.
,
Yamamoto
,
T.
,
Araki
,
N.
, and
Konishi
,
Y.
,
2012
, “
Control of a Weigh Feeder Using GMVCS-PI Based on Performance Adaptive Method
,”
ICIC Express Lett.
,
6
(
5
), pp.
1381
1386
.
21.
Clarke
,
D. W.
, and
Gawthrop
,
P. J.
,
1979
, “
Self-Tuning Control
,”
IEE Proc. Part D: Control Theory Appl.
,
126
, pp.
633
640
10.1049/piee.1979.0145.
22.
Clarke
,
D. W.
,
1984
, “
Self-Tuning Control of Nonminimum-Phase Systems
,”
Automatica
,
20
(
5
), pp.
501
517
.10.1016/0005-1098(84)90003-7
23.
Aicha
,
F. B.
,
Bouani
,
F.
, and
Ksouri
,
M.
,
2013
, “
A Multivariable Multiobjective Predictive Controller
,”
Int. J. Appl. Comput. Sci.
,
23
(
1
), pp.
35
45
10.2478/amcs-2013-0004.
24.
Åström
,
K. J.
, and
Wittenmark
,
B.
,
1997
,
Computer-Controlled Systems: Theory & Design
,
3rd ed.
,
Prentice Hall
, Upper Saddle River, NJ.
25.
Bobál
,
V.
,
Böhm
,
J.
,
Fessl
,
J.
, and
Macháçek
,
J.
,
2005
,
Digital Self-Tuning Controllers
,
Springer
, London, UK.
26.
Landau
,
L. D.
,
Lozano
,
R.
,
M'Saad
,
M.
, and
Karimi
,
A.
,
2011
,
Adaptive Control
,
Springer
, London, UK.
27.
Keesman
,
K. J.
,
2011
,
System Identification
,
Springer
, London, UK.
28.
Wood
,
R.
,
Shah
,
S. L.
, and
Miller
,
R. M.
,
1995
, “
Adaptive Predictive Control Employing On-Line Time Delay Estimation
,”
Advances in Instrumentation and Control
,
Instrument Society of America
, Research Triangle Park, NC.
29.
Hopkins
,
M.
,
2006
, “
Loss in Weight Feeder Systems
,”
Meas. + Control
,
39
(
8
), pp.
237
240
.10.1177/002029400603900801
30.
Heinrici
,
H.
,
2000
, “
Continuous Weighing and Feeding Systems—An Integral Component in Process Engineering
,”
Aufbereit. Tech.
,
41
(
8
), pp.
376
383
(in German).
31.
Haefner
,
H.
,
1996
, “
Advanced Weighfeeder System for Optimization of the Kiln System
,”
World Cem.
,
27
(
6
), pp.
19
27
.
32.
Vermylen
,
J.
,
1985
, “
Controllers Assure Consistency in Batch Mixing of Pasta Dough
,”
Food Process.
,
46
(
10
), pp.
138
139
.
You do not currently have access to this content.