Robust decentralized proportional–integral controller design for an activated sludge process

Anchan, Sanjith S.; Rao, C. Lakshmana

doi:10.1002/apj.2531

Cited by 6 publications

(8 citation statements)

References 33 publications

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“…The characterized transfer function family G P ðsÞ ¼ G n ðsÞð1 þ δG P ðsÞÞ, where G P is the real plant, G n is the nominal model, and δG P ðsÞ represents the multiplicative uncertainty. For a robustness analysis, the characteristics equation of the closed loop system is given by 49…”

Section: Robustness Analysismentioning

confidence: 99%

“…The characterized transfer function family

G_{P} false(s false) = G_{n} false(s false) false(1 + δ G_{P} false(s false) false)

, where

G_{P}

is the real plant,

G_{n}

is the nominal model, and

δ G_{P} false(s false)

represents the multiplicative uncertainty. For a robustness analysis, the characteristics equation of the closed loop system is given by 49

1 + G_{c} false(s false) G_{P} false(s false) = 1 + G_{c} false(s false) G_{n} false(s false) false(1 + δ G_{P} false(s false) false) = 0

…”

Section: Robustness Analysismentioning

confidence: 99%

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Optimal detuning of multivariable proportional integral controller based on data‐driven approach for an activated sludge process

Anchan

Tanneru

Rao

2023

Asia-Pacific J Chem Eng

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The study deals with designing a multivariable centralized proportional‐integral (PI) controller for an activated sludge process (ASP) by adopting a new tuning technique. To overcome the tedious task of manual tuning by a classical method that was based on Ziegler–Nichols tuning, a novel approach is developed by formulating the optimization problem and considering it along with the theoretical results to calculate the controller parameters. The proposed method is then compared with the reported method to demonstrate the advantages of the proposed approach. A nonlinear ASP model is selected to evaluate the performance of the designed controller. The simulation carried through the proposed optimization technique exhibits a significant improvement in closed‐loop performance for tuning the centralized controller. It is observed that the proposed method minimizes the effort of tuning the controller significantly. The proposed controller achieves better load disturbance response and lower overshoot than the reported method. The proposed method could improve integral absolute error (IAE) and integral time absolute error (ITAE) performance indices, ranging between 18.69% to 53.80% and 16.42% to 52.97% for a step change in and , respectively, which are better compared to the reported method. The study also assesses the control system's robustness for their uncertainties with the time constant and time delay.

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Section: Robustness Analysismentioning

confidence: 99%

“…The characterized transfer function family

G_{P} false(s false) = G_{n} false(s false) false(1 + δ G_{P} false(s false) false)

, where

G_{P}

is the real plant,

G_{n}

is the nominal model, and

δ G_{P} false(s false)

represents the multiplicative uncertainty. For a robustness analysis, the characteristics equation of the closed loop system is given by 49

1 + G_{c} false(s false) G_{P} false(s false) = 1 + G_{c} false(s false) G_{n} false(s false) false(1 + δ G_{P} false(s false) false) = 0

…”

Section: Robustness Analysismentioning

confidence: 99%

Optimal detuning of multivariable proportional integral controller based on data‐driven approach for an activated sludge process

Anchan

Tanneru

Rao

2023

Asia-Pacific J Chem Eng

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“…Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) controllers are the most frequently utilized controllers across numerous industries [1,2]. They provide functionalities that allow systems to handle transient and steady-state responses.…”

Section: Introductionmentioning

confidence: 99%

Design of a Decentralized PID Controller Using the Relative Gain Array Technique for a Coupled Flotation Process

Tshemese-Mvandaba

2024

IJEETC

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This study focuses on the design of the decentralized Proportional-Integral-Derivative (PID) controller for a coupled flotation system. It emphasizes the difficulties encountered when dealing with interconnected Multiple-Input Multiple-Output (MIMO) systems that cannot be effectively regulated using traditional linear feedback controllers. The significance of this article lies in its examination of how the Relative Gain Array (RGA) can be utilized to mitigate the impact of process connections. With the use of a thoughtful selection of single-loop pairings, the decentralized controller is created following the RGA technique. The decentralized controller that has been developed serves the purpose of reducing the influence caused by process interfaces. A set-point tracking technique, based on Internal Model Controllers (IMCs) is adopted in the design. The system time response and overshoot were also analyzed. The paper proposed a decentralized control mechanism and provided a comprehensive process for applying it to both the system under investigation and different MIMO industrial processes. The performance of the suggested closed-loop system was simulated and confirmed using Matlab/Simulink.

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“…RARTA is applied to provide dynamic behavior data of the system, thus offering an approximate decomposed process model [3]. Using the methods mentioned above of RGA, RNGA, and RARTA, the transfer function matrix element of a MIMO process is obtained [4]. They can be procured by estimating elements of the matrix that has the same form as the open-loop transfer function by using RGA, RNGA, and RARTA [4].…”

Section: Introductionmentioning

confidence: 99%

“…Using the methods mentioned above of RGA, RNGA, and RARTA, the transfer function matrix element of a MIMO process is obtained [4]. They can be procured by estimating elements of the matrix that has the same form as the open-loop transfer function by using RGA, RNGA, and RARTA [4]. The partial model matching (PMM) [5][6][7] method is one of the design strategies to estimate the control parameters.…”

Section: Introductionmentioning

confidence: 99%

A Simple Method to Design a Decoupler for a Proton Exchange Membrane Fuel Cell

Goyal

Rao

2022

Chem Eng & Technol

Self Cite

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A decoupling control system is designed by a simple tuning-free method for the multi-input multi-output model of a proton exchange membrane fuel cell. The decoupler minimizes the interactions among the loops and is designed by estimating the relative normalized gain array and dynamic relative gain array for the closed-loop model. The proportional integral controller settings are estimated using the partial model matching method. The performances of the proposed method are studied based on closed-loop performances of control variables and time integral errors that are compared with the synthesis method. The proposed controller performs better in terms of integral of time-weighted absolute error.

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Robust decentralized proportional–integral controller design for an activated sludge process

Cited by 6 publications

References 33 publications

Optimal detuning of multivariable proportional integral controller based on data‐driven approach for an activated sludge process

Optimal detuning of multivariable proportional integral controller based on data‐driven approach for an activated sludge process

Design of a Decentralized PID Controller Using the Relative Gain Array Technique for a Coupled Flotation Process

A Simple Method to Design a Decoupler for a Proton Exchange Membrane Fuel Cell

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