Teaching multiloop control of nonlinear system: three tanks case study

Rosinová, Danica; Balko, Peter; Puleva, Teofana

doi:10.1016/j.ifacol.2016.07.204

Cited by 8 publications

(8 citation statements)

References 3 publications

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“…The objective is to precisely regulate individual tank levels, denoted as

{l}_1

and

{l}_2

. As discussed in [38, 39], the transfer function of the TTHS is

\mathcal{Y}(s)&amp;amp;#x0003D;\left[\begin{array}{ccc}\frac{1.46}{22s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.3s}&amp;amp; \frac{0.47}{15.55s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.9s}&amp;amp; \frac{0.683}{16.28s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.5s}\\ {}\frac{0.654}{17.41s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.2s}&amp;amp; \frac{1.47}{23s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.5s}&amp;amp; \frac{0.67}{15s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.8s}\\ {}0&amp;amp; 0&amp;amp; 0\end{array}\right].

…”

Section: Resultsmentioning

confidence: 99%

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Design of a decentralized control law for variable area coupled tank systems using H_∞ complimentary sensitivity function

K. R.,

Mahapatra,

Ranjan Mahapatro

2023

Asian Journal of Control

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This paper proposes a novel graphical approach to control the liquid levels of the different variable area coupled tank systems using a decentralized controller. The coupled tank systems are common benchmark systems that consist of two tanks interconnected with each other. The primary goal is to maintain the liquid level in the tank at the desired set point by controlling the flow rate. This is attained with a decentralized method wherein the controller values are obtained from the plane. Besides, the robust criteria is enforced to guarantee the robustness. The proposed controller design approach aims to improve the performance of the system in terms of disturbance rejection and tracking. The decentralized control structure uses a distributed control strategy, thereby reducing the computational load which leads to improving the control performance. The loop interactions are minimized with decouplers. Furthermore, first‐order plus dead‐time (FOPDT) models are derived for each of the decoupled subsystems. Besides, the servo and regulatory responses of the controller are verified with input and output disturbances. Additionally, the response of the controller to system uncertainties and parameter variations is also studied. The simulation results demonstrate the effectiveness and robustness of the proposed approach.

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“…The objective is to precisely regulate individual tank levels, denoted as

{l}_1

and

{l}_2

. As discussed in [38, 39], the transfer function of the TTHS is

\mathcal{Y}(s)&amp;amp;#x0003D;\left[\begin{array}{ccc}\frac{1.46}{22s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.3s}&amp;amp; \frac{0.47}{15.55s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.9s}&amp;amp; \frac{0.683}{16.28s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.5s}\\ {}\frac{0.654}{17.41s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.2s}&amp;amp; \frac{1.47}{23s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.5s}&amp;amp; \frac{0.67}{15s&amp;amp;#x0002B;1}{e}&amp;amp;#x0005E;{-0.8s}\\ {}0&amp;amp; 0&amp;amp; 0\end{array}\right].

…”

Section: Resultsmentioning

confidence: 99%

“…levels, denoted as l 1 and l 2 . As discussed in [38,39], the transfer function of the TTHS is Similarly, the decouplers are designed as…”

Section: Figure 17mentioning

confidence: 99%

Design of a decentralized control law for variable area coupled tank systems using H_∞ complimentary sensitivity function

K. R.,

Mahapatra,

Ranjan Mahapatro

2023

Asian Journal of Control

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“…The teaching of advanced control topics using a nonlinear MIMO-multiple-input and multiple-output system of a three-tank model was studied in [8] by Rosinova et al The work by [9] is worth attention. The authors analyze the problem of control design with an observer of the state of a four-tank water level CTS.…”

Section: Matlab/simulink Environmentmentioning

confidence: 99%

“…A coupled or cascaded dynamical system consisting of many tanks, which is investigated in [8,15,68,[77][78][79][80][81][82] (state-space approach, PI, PID), [10,30,80] (transfer function approach), [14,16] (FL, NN), [9,10,15,78,83] (model-based or model-predictive control, state predictor), [8,16,79] (geometry-varying tank), [77,84] (SMC), and [80] (dead-time).…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Therefore, many configurations involving either the pure coupled, cascaded, or their hybrid solutions is developed. Our representative overview of the coupled or cascaded multi-tank dynamical systems refers to the state-space approach, PI and PID, as noted in [8,15,68,[77][78][79][80]82,84]; the transfer function approach [10,30,80]; a geometry-varying tank [8,16,79,83]; a dead-time inclusion [80], and a few commonly used control methods, as noted in [14,16] (FL, NN) [9,10,15,78,83] (model-based, model predictive, and state predictor) [77] (SMC).…”

Section: Multi-tank Dynamical Systemsmentioning

confidence: 99%

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Intelligent Mechatronics in the Measurement, Identification, and Control of Water Level Systems: A Review and Experiment

Olejnik

Awrejcewicz

2022

Machines

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In this paper, a unique overview of intelligent machines and mathematical methods designed and developed to measure and to control the water level in industrial or laboratory setups of coupled and cascaded configurations of tanks is made. A systematized and concise overview is made of the mechatronic systems used in the measurement, identification, and control of the water level enumerates, the software used in the associated scientific research, modern techniques and sensors, and mathematical models, as well as analysis and control strategies. The broad overview of applications of the last decade is finalized by a proposition of a control system that is based on a parameter estimation of a new experimental setup, an integral dynamic model of the system, a modern mechatronic machine such as the Watson-Marlow peristaltic pump, the Anderson Negele sensor of level, the NI cRIO-9074 controller, and LabVIEW virtual instrumentation. The results of real experimental tests, exploiting a hybrid proportional control, being improved by a numerically predicted water level, are obtained using a few tools, i.e., the static characteristics, the classical step response, and a new pyramid-shaped step function of a discontinuous path-following reference input, being introduced to evaluate the effectiveness and robustness of the regulation of the level height.

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Robust nonlinear control of a three-tank system using finite-time disturbance observers

Yang

Sugiura

2019

Control Engineering Practice

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Teaching multiloop control of nonlinear system: three tanks case study

Cited by 8 publications

References 3 publications

Design of a decentralized control law for variable area coupled tank systems using H_∞ complimentary sensitivity function

Design of a decentralized control law for variable area coupled tank systems using H_∞ complimentary sensitivity function

Intelligent Mechatronics in the Measurement, Identification, and Control of Water Level Systems: A Review and Experiment

Robust nonlinear control of a three-tank system using finite-time disturbance observers

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Teaching multiloop control of nonlinear system: three tanks case study

Cited by 8 publications

References 3 publications

Design of a decentralized control law for variable area coupled tank systems using H∞ complimentary sensitivity function

Design of a decentralized control law for variable area coupled tank systems using H∞ complimentary sensitivity function

Intelligent Mechatronics in the Measurement, Identification, and Control of Water Level Systems: A Review and Experiment

Robust nonlinear control of a three-tank system using finite-time disturbance observers

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Product

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Design of a decentralized control law for variable area coupled tank systems using H_∞ complimentary sensitivity function

Design of a decentralized control law for variable area coupled tank systems using H_∞ complimentary sensitivity function