Real time implementation of multivariable centralised FOPID controller for TITO process

Lakshmanaprabu, S.K.; Banu, U. Sabura

doi:10.1504/ijris.2018.096204

Cited by 4 publications

(9 citation statements)

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“…Further, the tracking performance and robustness studies are conducted for uncertain parametric conditions. The following interacting tank systems are considered: (i) coupled conical tank system (CCTS) [ 41 ], (ii) coupled spherical tank system (CSTS) [ 29 ] and (iii) quadruple tank system (QTS) [ 42 ]. As presented in [ 43 ], the ideal range for gain and phase margin are between 2–5 and 30–60

respectively.…”

Section: Resultsmentioning

confidence: 99%

“…As reported in [ 41 ], the height of the tank is 50 cm, and the tank is operated around 20–25 cm by regulating the input flow rate. The TITO FOPDT process model is obtained at the operating points

= 24.5 cm,

= 25.6 cm.…”

Section: Resultsmentioning

confidence: 99%

“…The servo response of the CCTS is presented in Figure 7 . It is observed that the proposed control algorithm performs better as compared to the following methods which are multi-loop PID [ 23 ], multi-variable centralised FOPID (MCFOPID) [ 23 ], particle swarm optimization based PI [ 44 ] and genetic algorithm based PI (GAPI) [ 41 ]. The reference tracking for the variation of levels of tanks 1 and 2 are illustrated in Figure 7 a,c.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

K.R.¹,

Mahapatra²

2022

Sensors

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A decentralized PI/PID controller based on the frequency domain analysis for two input two output (TITO) coupled tank systems is exploited in this paper. The fundamentals of the gain margin and phase margin are used to design the proposed PI/PID controller. The basic objective is to keep the tank at the predetermined level. To satisfy the design specifications, the control algorithm is implemented for decoupled subsystems by employing a decoupler. First-order plus dead time (FOPDT) models are obtained for the decoupled subsystems using the model-reduction technique. In addition, the control law is realized by considering the frequency domain analysis. Further, the robustness of the controller is verified by considering multiplicative input and output uncertainties. The proposed method is briefly contrasted with existing techniques. It is envisaged that the proposed control algorithm exhibits better servo and regulatory responses compared to the existing techniques.

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respectively.…”

Section: Resultsmentioning

confidence: 99%

= 24.5 cm,

= 25.6 cm.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

K.R.¹,

Mahapatra²

2022

Sensors

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show abstract

“…The original non-linear model of the system, as described in Ref. 53, presents a comprehensive understanding of the system dynamics under standard operating conditions. Figure 9 provides a comparative analysis between the original system in Ref.…”

Section: Coupled Conical Tank Systemmentioning

confidence: 99%

“…Figure 9 provides a comparative analysis between the original system in Ref. 53 and the reduced FOPDT models in Equations ( 47) and (48). The reduced FOPDT model was able to capture the system behavior.…”

Section: Coupled Conical Tank Systemmentioning

confidence: 99%

Advanced tree‐seed optimization based fractional‐order PID controller design for simplified decoupled industrial tank systems

Kottayathu Rajagopalan,

Mahapatra,

Mahapatro

2024

Int J Numerical Modelling

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Controlling coupled tank systems is challenging due to interactions between tanks, nonlinear dynamics, time delays, uncertainties, and cross‐coupling effects. The design of effective control strategies to address these complexities while ensuring stability and robust performance is difficult. Hence, this study focuses on presenting an innovative approach to enhance level control in coupled tank systems by employing a fractional‐order proportional‐integral‐derivative (FOPID) controller. The FOPID controller is designed by imposing constraints on the performance metric and closed‐loop gain. Besides, the defined optimization problem is solved by employing a tree seed algorithm. Further, the stability is analyzed graphically using the singular value analysis. The inherent complexities of coupled tank systems are effectively addressed by designing decouplers. The unique characteristics of the tree seed algorithm to navigate complex solution spaces and its effective handling of constraints offer a robust optimization framework. The validity and efficiency of the proposed method are analyzed in a range of simulation experiments conducted on distinct interconnected tank systems. Besides, the stability is verified graphically. The analysis highlights the effectiveness of the control law in handling uncertainties and disturbances. Besides, the proposed method reduces the settling time to around . Through a systematic integration of optimization and comprehensive stability analysis, the study provides a holistic solution for optimizing level control in coupled tank systems.

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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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Real time implementation of multivariable centralised FOPID controller for TITO process

Cited by 4 publications

References 0 publications

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

Advanced tree‐seed optimization based fractional‐order PID controller design for simplified decoupled industrial tank systems

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

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Real time implementation of multivariable centralised FOPID controller for TITO process

Cited by 4 publications

References 0 publications

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

Advanced tree‐seed optimization based fractional‐order PID controller design for simplified decoupled industrial tank systems

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

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