Decentralized PI/PID controllers based on gain and phase margin specifications for TITO processes

Maghade, D. K.; Patre, B. M.

doi:10.1016/j.isatra.2012.02.006

Cited by 92 publications

(34 citation statements)

References 39 publications

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“…To design the decentralized controller, a FOPTD process transfer function often reasonably describes the process gain, overall time constant, and equivalent delay term of a higher‐order process transfer function or more complicated transfer function . In the next section, an effective reduction method is proposed based on the equivalent transfer function (ETF), and the FOPTD models

{true \hat{P}}_{i i} (s)

is obtained.…”

Section: Control System Design Based On the Direct Synthesis And Modimentioning

confidence: 99%

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PI controller design for a TITO system based on delay compensated structure and direct synthesis

Jin

Zhu

Wang³

et al. 2016

Can J Chem Eng

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The present study suggests a new scheme to design a decentralized PI controller for two‐input two‐output (TITO) processes. The decentralized controller is obtained from the direct synthesis method. The decoupler is derived from a modified decoupler and minimizes the interaction between the loops. Then a new reduced method based on equivalent transfer function (ETF) with relative gain array concept and relative normalized relative gain array concept reduces the decoupled process transfer functions to first‐order plus time delay (FOPTD) forms. Further, two PI controllers are obtained in the proposed delay‐compensated configuration in terms of the only parameter in every individual loop for the FOPTD transfer functions. Three illustrative examples demonstrate that the performance is verified on the original interactive system and show the effectiveness of the proposed design method. The results confirm the superior performance of the proposed compensation configuration in nominal and robust cases. The proposed method also offers several important advantages compared to other previous methods.

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{true \hat{P}}_{i i} (s)

is obtained.…”

Section: Control System Design Based On the Direct Synthesis And Modimentioning

confidence: 99%

“…Several reasons for the continued popularity of decentralized controllers are listed . Firstly, decentralized controllers are easy to implement and to understand for operators.…”

Section: Introductionmentioning

confidence: 99%

PI controller design for a TITO system based on delay compensated structure and direct synthesis

Jin

Zhu

Wang³

et al. 2016

Can J Chem Eng

View full text Add to dashboard Cite

show abstract

“…(15) are need to be computed in order to get FOPDT model of h ii (s). Here, FOPDT model is obtained based on frequency response fitting at two points, ω = 0 and ω = ω cii , where ω cii is phase crossover frequency [21].…”

Section: B Model Reductionmentioning

confidence: 99%

“…SIMULATION EXAMPLES In this section two simulation examples are included to show the effectiveness of the proposed controller. The performance of the proposed controller is compared with MP-PI [15], NDT-PI [19], IMC-PI [23] and BLT-PI [24] controllers. The simulation work is carried out using Matlab.…”

Section: Controller Parameter Calculationmentioning

confidence: 99%

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Design of decentralized PI controller based on Characteristic Ratio Assignment method For TITO process

Hajare¹,

Patre²

2013

2013 Annual IEEE India Conference (INDICON)

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In this paper, a decentralized PI controller design based on Characteristic Ratio Assignment (CRA) method for Two-Input-Two-Output (TITO) interacting processes is proposed. The design methodology uses decoupler to reduce the interaction between the variables, and the First Order Plus Dead Time (FOPDT) model is obtained for each decoupled subsystem. The independent diagonal controllers are computed for each reduced order FOPDT decoupled subsystem using CRA method. To verify the performance and stability of controllers two simulation examples are presented. To indicate the robustness of the controller the 20% uncertainty is added to the original system and controller performance is evaluated. The performance of the proposed controller is compared with prevalent controllers in the literature.

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Performance evaluation of a non linear PID controller using chaotic gravitational search algorithm for a twin rotor system

Sivadasan,

Shiney

2023

Adv Control Appl

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A novel strategy using a chaotic gravitational search algorithm (CGSA) based nonlinear PID control scheme, which is validated through a laboratory helicopter model called the twin rotor system, is presented in this paper. In this work, CGSA is used as a stochastic based global optimization algorithm for controller design in the twin rotor system adopted. The fine chaotic search process used in CGSA obtains the optimal solution in the iterative process based on the current best solution. The goal of the controller design in this paper is to stabilize the twin rotor system with considerable cross couplings to reach the selected position and follow the desired trajectory effectively. The addition of nonlinear functions to the PID controller structure initiates better error tracking and facilitates smooth output under changing input conditions. The design objective is to implement a nonlinear PID control scheme for the angular displacements of the twin rotor system with minimization of the integral square error (ISE) as the fitness function in the algorithm. The statistical performance of the controller is analyzed by considering the best, worst, mean, and standard deviations of ISE. In this work, simultaneous control of pitch and yaw angles is considered to get rid of the coupling effect between the two rotors. From the simulation results it is observed that the proposed work shows better performance than the other evolutionary computation techniques. The results also indicate the advantage of the proposed CGSA based tuning for the two degree of freedom MIMO control with standard reference trajectories as per the TRMS330‐10 model.

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Decentralized PI/PID controllers based on gain and phase margin specifications for TITO processes

Cited by 92 publications

References 39 publications

PI controller design for a TITO system based on delay compensated structure and direct synthesis

PI controller design for a TITO system based on delay compensated structure and direct synthesis

Design of decentralized PI controller based on Characteristic Ratio Assignment method For TITO process

Performance evaluation of a non linear PID controller using chaotic gravitational search algorithm for a twin rotor system

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