Control System Design for 3x3 Processes Based on Effective Transfer Function and Fractional Order Filter

Designing of PI/PID controller with fractional order set point filter is proposed to achieve the improved performance of 3x3 processes. But the design of controller for such higher dimensional multivariable processes is too difficult task because of interaction involved between the process variables. So interaction must be taken into design consideration. In this method of design determines the interaction between the variables using RGA and RNGA methods and uses it in converting the multivariable processes into multiple single loops. The interaction problems between the loops are overcome by incorporating the decouplers in the control loops. Then, the Effective Transfer Function (ETF) has obtained to design PI/PID controller for each individual element as in single input processes. The fractional order filter is also added to improve the servo response of the processes. Hence, the proposed system improves the overall performance by minimizing the interaction effects due to set point variations. This method is also validate by using a case study.

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Multi-Loop PID Controller Design for MIMO Processes Based on SIMC Fractional Order Filter

International Journal of Innovative Technology and Exploring Engineering - Special Issue ◽

10.35940/ijitee.k1509.119119 ◽

2019 ◽

Vol 9 (1) ◽

pp. 4595-4600

Keyword(s):

Fractional Order ◽

Pid Controller ◽

Controller Design ◽

Process Variables ◽

Loop Control ◽

Set Point ◽

Control Loops ◽

Order Filter ◽

Multiloop Control ◽

Relative Gains

This paper presents a multiloop control for the different dimensional multivariable processes which are having the strong interrelation amid its variables. The objective of this discussion is to enhance the overall performance of the system by reducing the effects of interrelation of process variables. The prerequisite for design of multi loop control is to determine the best pair of controlled variables. In this paper the pair of variables is identified by using the relative gains of the process variables. Based on these, the pair of possible control loops is identified and their FOPDT models are approximated. Then to improve the servo operation (for set point changes in input) the PID controller parameters are calculated for these models using Simplified IMC tuning formulas. To minimize the effects of interrelations fractional order filter is used. With this combination, the overall objective of the control system is fulfilled i.e., tracking the set point and lessening the interaction. To show the effectiveness, the two examples are considered with different dimension, interaction and controller is designed. The results show that the SIMC algorithm improved the performance of the system.

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Improved performance with fractional order control for asymmetrical cascaded H-bridge multilevel inverter

Bulletin of Electrical Engineering and Informatics ◽

10.11591/eei.v9i4.1885 ◽

2020 ◽

Vol 9 (4) ◽

pp. 1335-1344

Author(s):

Vemula Anil Kumar ◽

Arounassalame Mouttou

Keyword(s):

Fractional Order ◽

Pid Controller ◽

Output Voltage ◽

Model Simulation ◽

Harmonic Distortion ◽

Simplified Model ◽

Control Scheme ◽

In Series ◽

Improved Performance ◽

Fractional Order Pid

This paper proposes a control scheme for seven level asymmetrical cascaded H-bridge multi level inverter (ACHBMLI) based on fractional order calculus. The seven level ACHBMLI consists of two H-bridges that are connected in series and are excited by different dc voltage sources. A simplified model is developed by assuming the small signal variation component is equal in both the H-bridges. A fractional order PID (FO-PID) controller is designed for the ACHBMLI using the simplified model. Simulation study shows the adequacy of FO-PID controller in giving an output voltage with minimum distortions. A conventional PID controller is also designed for ACHBMLI using the same simplified model. The performance of the ACHBMLI with FO-PID controller is compared with the performance of ACHBMLI with conventional PID controller. The simulation results prove the superiority of FO-PID controller in maintaining the output voltage of the ACHBMLI close to the reference voltage and in reducing the harmonic distortion of output voltage of the inverter. The simulation was done using MATLAB and the parameters of FO-PID controller was designed using FOMCON tool box.

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Design of IMC-PID controller with fractional-order filter for steam distillation essential oil extraction process

Indonesian Journal of Electrical Engineering and Computer Science ◽

10.11591/ijeecs.v21.i2.pp801-810 ◽

2021 ◽

Vol 21 (2) ◽

pp. 801

Author(s):

Siti Nur Hasinah Binti Johari ◽

Mohd Hezri Fazalul Rahiman ◽

Najidah Hambali ◽

Ramli Adnan ◽

Mazidah Tajjudin

Keyword(s):

Essential Oil ◽

Fractional Order ◽

Pid Controller ◽

Steam Distillation ◽

Reference Model ◽

Internal Model Control ◽

Step Response ◽

Steam Temperature ◽

Order Filter ◽

Model Control

<p>Essential oils are one of the industry's major compounds, particularly in the pharmaceutical, perfume and food sectors. They were acquired using several methods such as steam distillation. In this method, heat from the steam will release the aromatic molecule at their specific boiling points. Thus, it is important to regulate the steam temperature at the correct level to get the perfect composition of the yield. Many studies have shown that essential oil is volatile and sensitive to excess heat. In order to maintain the desired steam temperature, this study proposed an internal model control (IMC) based PID with fractional-order filter as a controller for this system. IMC is a model-based control structure that can handle parameter variations and load disturbance very well. With the inverse model imposed in the loop, IMC can gain a perfect tracking control as well. The implementation of a fractional-order filter cascaded to the PID controller may enhance the system robustness to process gain with its iso-damping properties. This study was conducted by simulation using MATLAB R2018. The step response of the closed-loop system has been evaluated with varying filter parameters depending on the desired phase margin of the open-loop reference model. <em></em></p>

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A Fractional Calculus Perspective of PID Tuning

Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C ◽

10.1115/detc2003/vib-48375 ◽

2003 ◽

Cited By ~ 9

Author(s):

Ramiro S. Barbosa ◽

J. A. Tenreiro Machado ◽

Isabel M. Ferreira

Keyword(s):

Transfer Function ◽

Fractional Calculus ◽

Fractional Order ◽

Pid Controller ◽

Open Loop ◽

Controller Tuning ◽

Pid Tuning ◽

Loop Transfer Function ◽

Pid Controller Tuning ◽

Fractional Order Integrator

This paper gives an interpretation of the classical PID controller tuning based on the fractional calculus theory. The PID parameters are calculated according with the specifications of an elementary system whose open-loop transfer function is a fractional order integrator (FOI). The performances of the two systems are compared and illustrated through the frequency and time responses.

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Fuzzy Logic Based Set-Point Weighting for Fractional Order PID Control

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.367.369 ◽

2013 ◽

Vol 367 ◽

pp. 369-376 ◽

Cited By ~ 2

Author(s):

R. Karthikeyan ◽

Sreekanth Pasam ◽

S. Sudheer ◽

Vallabhaneni Teja

Keyword(s):

Fractional Order ◽

Dynamic Systems ◽

Pid Control ◽

Pid Controller ◽

Research Community ◽

Control Structures ◽

Set Point ◽

Integer Order ◽

Second Order Systems ◽

Fractional Order Pid

Differentiation and integration of non-integer order have drawn increasing attention in research community. Fractional order dynamic systems have been recognized as effective tool for characterizing the real world phenomena. This may be implemented by using different control structures in which a fuzzy mechanism is adopted to tune the parameters by using Ziegler-Nichols method. Fractional-order PID control is the development of general integer-order PID controller. This paper proposes the basic framework of fractional order dynamic system with fuzzy weighted set-point. Comparisons are made with PID and FOPID controllers for first and second order systems. The response shows the superiority of the fuzzy set-point weighting methodology over the other methods.

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