In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system. Since the dynamics of the coupled tanks system is nonlinear, determination of the optimal water level in the tanks could be formulated as an optimal control problem for a useful operation decision. For simplicity, the linear model of the coupled tanks system is suggested to give the true operating height of the coupled tanks. In our approach, the adjustable parameter is added into the model used. The aim is to measure the differences between the real plant and the model used repeatedly during the computation procedure. In this way, the optimal solution of the model used can be updated iteratively. On this basis, system optimization and parameter estimation are integrated. At the end of the iteration procedure, the converged solution approximates to the correct optimal solution of the original optimal control problem, in spite of model-reality differences. For illustration, the numerical parameters of a coupled tank system are studied and the applicable of the approach proposed is shown. In conclusion, the efficiency of the approach proposed in achieving the desired water level of the coupled tanks is highly presented.

1.
H.I.
Jaafar
,
S.Y.S.
Hussein
,
N.A.
Selamat
,
M.N.M.
Nasir
and
M.H.
Jali
,
Analysis of Transient Response for Coupled Tank System via Conventional and Particle Swarm Optimization (PSO) Techniques
,
International Journal of Engineering and Technology
, Vol.
6
, No.
5
, (
2014
),
2002
2007
.
2.
S. A.
Jagnade
,
R. A.
Pandit
and
A. R.
Badge
,
Modeling, Simulation and Control of Flow Tank System
,
International Journal of Science and Research (IJSR)
, Vol.
4
, Iss.
2
, (
2015
),
657
669
.
3.
A.
Sharma
,
O. P.
Verma
and
M.
Singh
,
Mathematical Modeling and Intelligent Control of Two Coupled Tank System
,
Imperial Journal of Interdisciplinary Research (IJIR)
Vol.
2
, Iss.
10
, (
2016
),
1589
1593
.
4.
K.
Ashokkumar
,
A Nonlinear Controller for Liquid Level Control System
,
International Journal of Scientific & Engineering Research
, Vol.
4
, Iss.
6
, (
2013
),
987
992
.
5.
N.
Tompkins
, “
Synchronization Dynamics of Coupled Chemical Oscillators
”, PhD Thesis,
Brandeis University
,
2015
.
6.
R. M
,
Soumya
,
S.
Bidyadhar
,
G.
Subhojit
,
PI Controller Design for a Coupled Tank System Using LMI Approach: An Experimental Study
,
Journal of Chemical Engineering & Process Technology
, (
2016
),
1
8
.
7.
M.
Saad
,
A.
Albagul
and
Y.
Abueejela
,
Performance Comparison between PI and MRAC for Coupled-Tank System
,
Journal of Automation and Control Engineering
, Vol.
2
, No.
3
, (
2014
),
316
321
.
8.
N.B.
Almutairi
and
M.
Zribi
,
Sliding Mode Control of Coupled Tanks
,
Mechatronics
, Vol.
16
, Iss.
7
, (
2006
),
427
441
.
9.
T.G.
Hicks
, “
Handbook of Mechanical Engineering Calculations
”, 2nd Ed,
McGraw-Hill Education
:
New York
,
2006
.
10.
J.A.
John
and
R. M.
Francis
,
Modelling and Nonlinear Control Design for Coupled Twin Tank Level Process
,
International Journal of Science and Research (IJSR)
, Vol.
4
, Iss.
8
, (
2015
),
618
622
.
11.
J.
Seung
,
A.F.
Atiya
,
A.G.
Parlos
and
K.
Chong
,
Parameter Estimation for Coupled Tank Using Estimate Filtering
,
International Journal of Control and Automation
, Vol.
6
, No.
5
, (
2013
),
91
102
.
12.
A.
Srinivasan
and
P.
Nivethitha
,
Pneumatic Control Valve Stiction Detection and Quantification
,
International Journal of Advance Engineering and Research Development
, Vol.
2
, Iss.
4
, (
2015
),
121
127
.
13.
F.L.
Lewis
, “
Applied Optimal Control and Estimation: Digital Design and Implementation
,”
Prentice Hall, Inc
,
1992
.
14.
A.E.
Bryson
and
Y.C.
Ho
, “
Applied Optimal Control
,”
Hemisphere Publishing Company
,
New York
,
1975
.
15.
S.L.
Kek
,
K.L.
Teo
and
M.I.A.
Aziz
,
An Integrated Optimal Control Algorithm for Discrete–Time Nonlinear Stochastic System
,
International Journal of Control
, Vol.
83
, (
2010
),
2536
2545
.
16.
P.D.
Roberts
and
T.W.C.
Williams
,
On an Algorithm for Combined System Optimization and Parameter Estimation
,
Automatica
, Vol.
17
, (
1981
),
199
209
.
17.
P.D.
Roberts
and
V.M.
Becerra
,
Optimal Control of a Class of Discrete-Continuous Nonlinear Systems Decomposition and Hierarchical structure
,
Automatica
, Vol.
37
, (
2001
),
1757
1769
.
18.
V.M.
Becerra
and
P.D.
Roberts
,
Dynamic Integrated System Optimization and Parameter Estimation for Discrete Time Optimal Control of Nonlinear Systems
,
International Journal of Control
, Vol.
63
, (
1996
),
257
281
.
This content is only available via PDF.