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

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

International Journal of Recent Technology and Engineering - 2 ◽

10.35940/ijrte.b1050.0882s819 ◽

2019 ◽

Vol 8 (2S8) ◽

pp. 1261-1266

Keyword(s):

Transfer Function ◽

Fractional Order ◽

Pid Controller ◽

Individual Element ◽

Set Point ◽

Control Loops ◽

Order Filter ◽

Higher Dimensional ◽

Improved Performance ◽

Effective Transfer

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

International Journal of Engineering and Advanced Technology - Regular Issue ◽

10.35940/ijeat.f1127.0886s19 ◽

2019 ◽

Vol 8 (6S) ◽

pp. 637-642

Keyword(s):

Transfer Function ◽

Fractional Order ◽

Pid Controller ◽

Individual Element ◽

Set Point ◽

Control Loops ◽

Order Filter ◽

Higher Dimensional ◽

Improved Performance ◽

Effective Transfer

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Fractional order IMC based PID controller design using Novel Bat optimization algorithm for TITO Process

Energy Procedia ◽

10.1016/j.egypro.2017.05.237 ◽

2017 ◽

Vol 117 ◽

pp. 1125-1133 ◽

Cited By ~ 9

Author(s):

S.K. Lakshmanaprabu ◽

U Sabura Banu ◽

P.R. Hemavathy

Keyword(s):

Fractional Order ◽

Optimization Algorithm ◽

Pid Controller ◽

Controller Design ◽

Pid Controller Design

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PSO and GA tuned conventional and fractional order PID controllers for quadrotor control

Aircraft Engineering and Aerospace Technology ◽

10.1108/aeat-08-2020-0185 ◽

2021 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Hasan Saribas ◽

Sinem Kahvecioglu

Keyword(s):

Fractional Order ◽

Pid Controller ◽

Controller Design ◽

Optimization Problems ◽

Parameter Tuning ◽

Absolute Error ◽

Cost Functions ◽

Pid Controllers ◽

Content Type ◽

Quadrotor Control

Purpose This study aims to compare the performance of the conventional and fractional order proportional-integral-derivative (PID and FOPID) controllers tuned with a particle swarm optimization (PSO) and genetic algorithm (GA) for quadrotor control. Design/methodology/approach In this study, the gains of the controllers were tuned using PSO and GA, which are included in the heuristic optimization methods. The tuning processes of the controller’s gains were formulated as optimization problems. While generating the objective functions (cost functions), four different decision criteria were considered separately: integrated summation error (ISE), integrated absolute error, integrated time absolute error and integrated time summation error (ITSE). Findings According to the simulation results and comparison tables that were created, FOPID controllers tuned with PSO performed better performances than PID controllers. In addition, the ITSE criterion returned better results in control of all axes except for altitude control when compared to the other cost functions. In the control of altitude with the PID controller, the ISE criterion showed better performance. Originality/value While a conventional PID controller has three parameters (Kp, Ki, Kd) that need to be tuned, FOPID controllers have two additional parameters (µ). The inclusion of these two extra parameters means more flexibility in the controller design but much more complexity for parameter tuning. This study reveals the potential and effectiveness of PSO and GA in tuning the controller despite the increased number of parameters and complexity.

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