On-line controller tuning for critically damped soptd systems

doi:10.1080/00986445.2013.830111

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On-line controller tuning for critically damped soptd systems

Journal Article•DOI•

On-line controller tuning for critically damped soptd systems

V. Dhanya Ram¹, M. Chidambaram¹•Institutions (1)

Indian Institute of Technology Madras¹

02 Jan 2015-Chemical Engineering Communications (Taylor & Francis Group)-Vol. 202, Iss: 1, pp 48-58

TL;DR: In this paper, a method is proposed to identify the model parameters of a stable, critically damped second-order plus time delay system using a PID controller using a step response of the closed-loop system using nonlinear algebraic equations.

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Abstract: A method is proposed to identify the model parameters of a stable, critically damped second-order plus time delay system. The method uses a step response of the closed-loop system using a PID controller. The two dominant poles of the closed-loop model were obtained using the step response. The process gain was calculated using the steady-state deviation values of the output and the input variable of the process. Using the identified dominant poles in the derived closed-loop characteristic equations, the relevant two nonlinear algebraic equations were derived to calculate the process delay and time constant. Three simulation examples were considered to show the effectiveness of the proposed method. The open-loop and as well as the closed-loop responses of the process were compared with those of the identified model and of the controller design based on the models. A significant improvement was obtained in the performance of the critically damped SOPTD model over that of the FOPTD model. The identified mode...

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Recent Advances in Chemical Engineering: Select Proceedings of ICACE 2015

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Iyyaswami Regupathi, Shetty K. Vidya, Murugesan Thanabalan

01 Jan 2016

TL;DR: In this paper, a detailed study of heat transfer characteristics of nano-fluids in a channel containing different shapes of submerged tubes is presented, based on heat transfer and fluid flow characteristics of air in a Circular Tube Heat Exchanger with Inclined Ribs.

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Abstract: Part 1 Transfer Operations 1 Numerical Study of Heat Transfer Characteristics of Nano-Fluids in Channel Containing Different Shapes of Submerged Tube 2 A Numerical Investigation Based On Heat Transfer and Fluid Flow Characteristics of Air in a Circular Tube Heat Exchanger with Inclined Ribs 3 Experimental Studies Involving Flow Visualization over Non-Circular Geometries 4 Thermohydraulic transport characteristics of Micro Mixer in Micro Channel 5 Esterification of Ethanol and Maleic Acid in Packed Bed Reactor Catalyzed by Sulfonic Acid Functionalized Silica (SAFS) Part 2 Separation Processes 1 Batch drying of Wheat in a Multiple Porous Draft Tube Spouted Bed 2 Studies on Drying Characteristics of Rhizomes of Ginger (zingiberofficinalerosc) 3 Cationic Dyes Sequestration from Aqueous Phase Using Biosurfactant Based Reverse Micelles 4 Screening of Solvents for Deacidification of Sardine Oil 5 Forward Osmosis Membrane Concentration of Raw Sugarcane Juice 6 Microencapsulation of C-Phycocyanon by Microfluidics Part 3 Adsoprtion 1 Removal of CO2 in a Multistage Fluidized Bed Reactor by Activated Carbon Prepared from Green Coconut Shell Part 4 Photooxidation 1 Calculation of Hydroxyl Radical Concentration Using an Indirect Method-Effect of pH and Carbonate Ion Part 5 Modelling and Simulations of Chemical Processes 1 Mathematical Modelling on Particulate Removal in Multistage Dual-flow Sieve Plate Column Wet Scrubber 2 Methanol and Water Crossover in a Passive Direct Methanol Fuel Cell: Mathematical Model 3 CFD Studies on Pressure Drop for Low Reynolds Fluid Flows Across Orifice in Similarly Shaped

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9 citations

Journal Article•DOI•

Identification of Unstable Second-order Transfer Function Model with a Zero by Optimization Method

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V. Dhanya Ram¹, A. Karlmarx, M. Chidambaram¹•Institutions (1)

Indian Institutes of Technology¹

02 Jan 2016-Indian Chemical Engineer

TL;DR: In this article, a technique is presented to identify a transfer function of an unstable second-order plus time delay (SOPTD) with a zero, where an optimization method is used to estimate the model parameters to match the closed loop responses.

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Abstract: A technique is presented is to identify a transfer function of an unstable second-order plus time delay (SOPTD) with a zero. An optimization method is used to estimate the model parameters to match the closed loop responses. A method is given for the initial guess values of the model parameters (time delay, steady state gain and the values of poles and zero). The method is applied to three simulation examples. The presented method gives good results. The measurement noise and disturbance effects on the model identification are also reported.

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3 citations

Cites background or methods from "On-line controller tuning for criti..."

...The expressions for the effective time constant (τe) and for the damping coefficient (ζ) can be derived as [5, 14]:...
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...Typical closed loop response for a step change in set point and associated parameters to be noted [14]....
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Journal Article•DOI•

Closed-Loop Identification of Two-Input Two-Output Critically Damped Second-Order Systems with Delay

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V. Dhanya Ram¹, M. Chidambaram¹•Institutions (1)

Indian Institute of Technology Madras¹

03 Apr 2017-Indian Chemical Engineer

TL;DR: In this article, a closed-loop identification method is proposed for the identification of two-input two-output (TITO) critically damped second-order plus time delay (CSOPTD) systems.

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Abstract: A closed-loop identification method is proposed for the identification of two-input two-output (TITO) critically damped second-order plus time delay (CSOPTD) systems. The method proposed by Dhanya Ram and Chidambaram [Closed Loop Reaction Curve Method for Identification of TITO Systems, IFAC Proceedings Volume IFAC – Paper On line, 3 (2014)] for the identification of first-order plus time delay model parameters of TITO systems is extended to identify CSOPTD parameters of a higher order model. The responses are compared with the response curve given by Clark [Control System Dynamics. Cambridge University Press (2005)] for a third-order system. From this, the values of K, τe and ζ for the closed-loop response are identified for the third-order system. The interactions are identified as third-order systems using an optimization method, as no standard method has been reported for the identification of the interactions. The initial guess values for this are obtained from the Yuwana and Seborg [“A New M...

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1 citations

Cites methods from "On-line controller tuning for criti..."

...Rajapandiyan and Chidambaram [3] have presented an optimization method for the closed-loop identification of multi-input multi-output (MIMO) systems under decentralized proportional–integral (PI) controllers....
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...The objective of the present work is to extend the method proposed by Dhanya Ram and INDIAN CHEMICAL ENGINEER Vol. 59 No. 2 June 2017 Chidambaram [8] for SISO systems to identify CSOPTD model parameters of a TITO higher order system under decentralized PI/PID controllers....
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...Chandrasekhar and Chidambaram [10] have shown that for TITO systems, the performance of CSOPTD model-based controllers is better than those of FOPTD model-based controllers....
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...Rajapandiyan and Chidambaram [4] have extended the method to the closedloop identification of second-order plus time delay system (SOPTD) multivariable systems using combined step-up and step-down responses....
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...The method suggested by Dhanya Ram and Chidambaram [8] for the identification of an MIMO FOPTD transfer function is extended to identify CSOPTD parameters of a higher order MIMO system....
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Book Chapter•DOI•

Modelling of Interactive Multivariable Systems for Control

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Chandra Shekar Besta¹, Manickam Chidambaram¹•Institutions (1)

Indian Institute of Technology Madras¹

01 Jan 2016

TL;DR: In this paper, a design method for centralized PID controllers using Tanttu and Lieslekto method for the identified critical damped Second order plus time delay (SOPTD) is proposed.

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Abstract: Higher order transfer function models are approximated by a three parameters models such as critical damped SOPTD and FOPTD models. A design method for centralized PID controllers using Tanttu and Lieslekto method for the identified critical damped Second order plus time delay (SOPTD) is proposed. Centralized PI controllers are designed by the Tanttu and Lieslekto method from the identified First order plus time delay (FOPTD) model. The Centralized SOPTD-PID control system gives enhanced main responses and lesser interactions. This improvement is shown for TITO systems having high interactions (λ11 > 1). The robustness study for the controllers is carried out by using the Inverse Maximum Singular Value versus Frequency plot for the input and output multiplicative uncertainties. Simulation results are given for one TITO system having λ11 > 1. The centralized SOPTD-PID controllers give improved results in comparison with the centralized FOPTD-PID/PI controllers.

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1 citations

Book Chapter•DOI•

Direct Synthesis Method-Based PID Controller for Critically Damped Time Delay Systems

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01 Jan 2022

TL;DR: In this paper , a proportional-integral-derivative (PID) controller using direct synthesis method was designed for the control of critical damped second order plus time delay (CDSOPTD) systems.

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Abstract: In this work, design a proportional-integral-derivative (PID) controller using direct synthesis method for the control of critical damped second order plus time delay (CDSOPTD) systems. The different categories of CDSOPDT systems are considered based on the ratio of time delay to system time constant. CDSOPTD systems performance is analyzed using PID controller. The gains of PID controller are obtained using direct synthesis method with tuning parameter $$\alpha$$ ranging from 0.1 to 1. The various PID parameters are used for the control CDSOPTD systems, and the simulation results are obtained. For low value of $$\alpha$$ , the closed-loop responses exhibit that, the unstable behavior, oscillations in a controlled variable, and peak overshoot in responses. In direct synthesis method, the higher value of tuning parameter $$\alpha$$ is used for PID controller tuning, and it is delivered better closed-loop performance for the control of CDSOPTD systems.

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References

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Journal Article•DOI•

Simple analytic rules for model reduction and PID controller tuning

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Sigurd Skogestad¹•Institutions (1)

Norwegian University of Science and Technology¹

01 Jun 2003-Journal of Process Control

TL;DR: In this article, the authors present analytic rules for PID controller tuning that are simple and still result in good closed-loop behavior, including the half-rule for obtaining the effective time delay.

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1,681 citations

"On-line controller tuning for criti..." refers methods in this paper

...PID controllers for the identified critically damped SOPTD and FOPTD models were designed by the SIMC method proposed by Skogestad (2003)....
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...PID controllers for the identified critically damped SOPTD and FOPTD models were designed by the SIMC method proposed by Skogestad (2003). The calculated PID settings are given in Table II along with the identified model parameters....
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...The results are given in Table I. PID controllers for the actual SOPTD system, identified SOPTD, and FOPTDmodels were designed by the simple internal model control (SIMC) method proposed by Skogestad (2003)....
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Book•

Chemical process control: an introduction to theory and practice

[...]

George Stephanopoulos

01 Jan 1984

TL;DR: This paper presents a meta-analysis of the Dynamic and Static Behavior of Chemical Processes and the design of Control Systems for Multivariable Processes using digital computers.

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Abstract: 1 The Control of a Chemical Process: Its Characteristics and Associated Problems 2 Modeling the Dynamic and Static Behavior of Chemical Processes 3 Analysis of the Dynamic Behavior of Chemical Processes 4 Analysis and Design of Feedback Control Systems 5 Analysis and Design of Advanced Control Systems 6 Design of Control Systems for Multivariable Processes 7 Process Control Using Digital Computers

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796 citations

"On-line controller tuning for criti..." refers background in this paper

...The identification of a suitable transfer function model is required to design a suitable proportional integral (PI) controller (Stephanopoulos, 1990)....
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Journal Article•DOI•

For model-based control design, closed-loop identification gives better performance

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Håkan Hjalmarsson¹, Michel Gevers², Franky De Bruyne²•Institutions (2)

Royal Institute of Technology¹, Université catholique de Louvain²

15 Dec 1996-Automatica

TL;DR: It is shown that, when the controller is a smooth function of the input-output dynamics and the disturbance spectrum, the best controller performance is achieved by performing the identification in closed loop with an operating controller that is the ideal controller.

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261 citations

"On-line controller tuning for criti..." refers methods in this paper

...The PID controller design based on the identified model exhibits better performance than that of the controller designed by the open-loop identification method (Hjalmarsson et al., 1996; Landau, 2001; Langer and Landau, 1996)....
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...The closed-loop identification method gives model parameters that fit the actual process better than that obtained by the open-loop identification method (Hjalmarsson et al., 1996; Landau, 2001; Langer and Landau, 1996)....
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Journal Article•DOI•

A new method for on‐line controller tuning

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Minta Yuwana¹, Dale E. Seborg¹•Institutions (1)

University of California, Santa Barbara¹

01 May 1982-Aiche Journal

185 citations

"On-line controller tuning for criti..." refers methods in this paper

...Kavdia and Chidambaram (1996) extended the method of Yuwana and Seborg (1982) to unstable FOPTD systems....
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...The on-line identification of the FOPTD model is described by Yuwana and Seborg (1982) using a proportional controller....
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Journal Article•DOI•

An improved autotune identification method

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Wei Li, Esref Eskinat, William L. Luyben

01 Jul 1991-Industrial & Engineering Chemistry Research

178 citations

Additional excerpts

...Example 2 Consider a third-order plus time delay model given by Li et al. (1991) as: GðsÞ ¼ expð 2sÞ=½ðsþ 1Þð10sþ 1Þð20sþ 1Þ ð20Þ A closed-loop response similar to Figure 1 for a unit step change in the set point was obtained using the PID settings: kc¼ 4, sI¼ 15, and sD¼ 4....
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