Mathematical modelling and simulation of CSTR using MIT rule

Kumar, Narendra; Khanduja, Neha

doi:10.1109/iicpe.2012.6450458

Cited by 9 publications

(4 citation statements)

References 3 publications

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“…et.al. [19] talked about the very popular ‗MIT rule' to design a ‗CSTR system'. Not only that, the simulation based analysis had also been depicted in the research article.…”

Section: A Short Literature Reviewmentioning

confidence: 99%

Analytical Study of ‘De-coupler’ and ‘Diagonal PID Controller’ for the designing of a MIMO System

2023

AJAC

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In the perspective of 'Control System' , the proper designing of controller for any industrial instrument is essential ormandatory to get a desired output response. There are versatile types of controller are used in the industrial level to get the output response according to our wishes. A controller is able to improve only transient response or Steady state response or it can improve both the responses. A special case of MIMO (Multiple input Multiple output) system is called TITO (Two Input two output) system. Here in this work,a new idea to design a controller has been proposed which is consisting of a 'De-coupler' and a 'Diagonal PID Controller'. This type of approach is also helpful to learn the exact designing of 'De-coupler' as well as'Diagonal PID Controller'.

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“…et.al. [19] talked about the very popular ‗MIT rule' to design a ‗CSTR system'. Not only that, the simulation based analysis had also been depicted in the research article.…”

Section: A Short Literature Reviewmentioning

confidence: 99%

Analytical Study of ‘De-coupler’ and ‘Diagonal PID Controller’ for the designing of a MIMO System

2023

AJAC

View full text Add to dashboard Cite

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“…Alshammari et al [25] have illustrated the advantages of adaptive control over conventional PID controllers by considering a temperature control problem in CSTR. In the recent times, several modified adaptive control strategies have been reported by researchers [26][27][28][29][30][31][32][33][34][35][36]. Kumar and Kahnduja [26] have reported a model reference adaptive control (MRAC) technique centered on Massachusetts Institute of Technology (MIT) rule for controlling CSTR.…”

Section: Introductionmentioning

confidence: 99%

“…In the recent times, several modified adaptive control strategies have been reported by researchers [26][27][28][29][30][31][32][33][34][35][36]. Kumar and Kahnduja [26] have reported a model reference adaptive control (MRAC) technique centered on Massachusetts Institute of Technology (MIT) rule for controlling CSTR. But MIT rule fails to stabilize the process and requires fine tuning.…”

Section: Introductionmentioning

confidence: 99%

Improved fractional augmented control strategies for continuously stirred tank reactors

Mukherjee

Raja

Kundu

et al. 2022

Asian Journal of Control

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Controlling concentration and temperature of continuously stirred tank reactor (CSTR) is an extremely challenging task in chemical process industries. This is because conventional unity feedback schemes do not guarantee stable operating conditions for the CSTR process. Therefore, fractional calculus is augmented with multi‐loop control to achieve enhanced stability and closed‐loop performance than unity feedback structure in this work. Accordingly, three different fractional‐order‐based novel multi‐loop control structures are proposed based on time domain analysis. In two of the proposed strategies, fractional‐order PID controller (FOPID) and internal model control (IMC)‐based FOPID controller with fractional filter are used in the inner‐loop. Moreover, fractional‐order‐based Lyapunov stability rule of model reference adaptive control (MRAC) is used in outer‐loops for both of the above mentioned methods. Finally, an advanced multi‐loop predictor with FOPD controller in the inner‐loop and FOIMC controller in the outer‐loop is also proposed. In this work, fractional‐order, filter parameters, and FOPID settings are obtained by minimizing multi‐objective functions using modified particle swarm optimization (PSO) algorithm. Closed‐loop responses and control efforts of the proposed control strategies are compared with that of FO‐Lyapunov‐based MRAC scheme. Quantitative performance analysis is also carried out on all proposed methods based on error metrics and total variation of the control signal.

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“…The inlets are composed of parameters and variables such as temperature profiles, reactants concentration, reactants density, heating or cooling system temperature, and reactants volume while the outlets are composed of the product concentration, product temperature, product volume, and product density, to name few. Scientists and engineers are interested in fully understanding the dynamics of these tanks through mathematical analysis [1,2,3]. Other researchers have carried out uncertainty quantification on CSTR models.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity and Uncertainty Analysis of Variable-Volume Deterministic Model for Endothermic Continuously Stirred Tank Reactor

Muhirwa¹,

Mbalawata²,

Masanja³

2020

J. Math. Inf.

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This paper deals with the formulation and the identifiability of the variablevolume deterministic model for the endothermic continuously stirred tank reactor (CSTR). The identifiability of physical parameters of the formulated model is done by using the least squares and the delayed rejection adaptive algorithm version of the Markov chain Monte Carlo (MCMC) method. The least square estimates are used as prior information for the MCMC method. To measure the model output associated with the perturbed model parameters, we use global sensitivity analysis implemented in Latin Hypercube Sampling method. The obtained results from partial rank correlation coefficients show that six parameters are very sensitive and correlated with the model outputs. Finally, we show that the least square and the MCMC numerical results impart the model to be realistic, reliable and worthwhile to describe the dynamics of CSTR processes as physical parameters of the model are well identified and their uncertainties in the model response are analysed and quantified.

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Mathematical modelling and simulation of CSTR using MIT rule

Cited by 9 publications

References 3 publications

Analytical Study of ‘De-coupler’ and ‘Diagonal PID Controller’ for the designing of a MIMO System

Analytical Study of ‘De-coupler’ and ‘Diagonal PID Controller’ for the designing of a MIMO System

Improved fractional augmented control strategies for continuously stirred tank reactors

Sensitivity and Uncertainty Analysis of Variable-Volume Deterministic Model for Endothermic Continuously Stirred Tank Reactor

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