Analytical Design of Fractional Order Proportional Integral Controller for Spherical Tank

2014 ◽  
Vol 573 ◽  
pp. 279-284 ◽  
Author(s):  
Neenu Elizabeth Cherian ◽  
K. Sundaravadivu
Keyword(s):  
Fractional Order ◽  
Dead Time ◽  
Transfer Functions ◽  
Design Method ◽  
Analytical Design ◽  
Proportional Integral ◽  
First Order ◽  
Spherical Tank ◽  
Proportional Integral Controller ◽  
Fopi Controller

This paper presents an analytical design method for fractional order proportional integral (FOPI) controller for the spherical tank which is modelled as a first order plus dead time (FOPDT) process. The design is based on the Bode’s ideal transfer function and fractional calculus. By using frequency domain, the proposed FOPI tuning rules are directly derived for a generalized first order plus dead time process and then applied to the transfer functions obtained at various operating points of the spherical tank. The performance of the designed FOPI controller is compared with the conventional integer order proportional integral derivative (IOPID) controller in simulation.

scholarly journals New Design Method for Fractional Order Proportional Integral (FO-PI) Controller of 3x3 Multivariable Systems

2020 ◽  
Vol 5 (1) ◽  
pp. 73-78
Author(s):  
Sami LAIFA ◽  
Badreddine BOUDJEHEM
Keyword(s):  
Fractional Order ◽  
Design Method ◽  
Optimal Parameters ◽  
Proportional Integral ◽  
Pi Controllers ◽  
Integral Controller ◽  
Proportional Integral Controller ◽  
Diffusive Representation ◽  
Irrational Transfer Function ◽  
Better Than

This paper presents a new design method of Fractional Order Proportional Integral Controller (FO-PI) for 3x3 multivariable system (three-input-three-output). The Optimal parameters of the FO-PI controllers are tuning by minimizing performance index criterion as objective function. The irrational transfer function of the fractional operator is performed by means of diffusive representation and allows to formulate the optimization problem as a function of fractional order. The simulation results show that the performance of the response obtained by diffusive approach -based FO-PI are better than whose obtained by the classical controllers.

scholarly journals Design of fractional order controllers using constrained optimization and reference tracking method

2020 ◽  
Vol 11 (1) ◽  
pp. 291
Author(s):  
Manoj D Patil ◽  
K. Vadirajacharya ◽  
Swapnil Khubalkar
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Dead Time ◽  
Proportional Integral Derivative ◽  
Reference Tracking ◽  
Tracking Method ◽  
Proportional Integral ◽  
First Order ◽  
Control Community ◽  
Online Tuning

In recent times, fractional order controllers are gaining more interest. There are several fractional order controllers are available in literature. Still, tuning of these controllers is one of the main issues which the control community is facing. In this paper, online tuning of five dierent fractional order controllers is discussed viz. tilted proportional-integral-derivative (T-PID) controller, fractional order proportional-integral (FO-PI) controller, fractional order proportional-derivative (FO-PD) controller, fractional order proportional-integral-derivative (FO-PID) controller. A reference tracking method is proposed for tuning of fractional order controllers. First order with dead time (FOWDT) system is used to check feasibility of the control strategy.

Limits of a simplified controller design based on integral plus dead time models

2018 ◽  
Vol 232 (6) ◽  
pp. 728-741 ◽  
Author(s):  
Mikuláš Huba ◽  
Igor Bélai
Keyword(s):  
Dead Time ◽  
Controller Design ◽  
Absolute Error ◽  
Higher Order ◽  
Smith Predictor ◽  
Proportional Integral ◽  
Overall Design ◽  
Error Measures ◽  
Integral Controller ◽  
Proportional Integral Controller

This article presents design and evaluation of filtered proportional–integral controllers and filtered Smith predictor–inspired constrained dead time compensators. Both are based on the integral plus dead time and on the first-order time delayed plant models. They are compared as for tuning simplicity, robustness and noise attenuation. Such a comparison, which presents a robustness test regarding the importance of the internal plant feedback approximation, may be carried out by performance measures built on deviations of the input and output transient responses from their ideal shapes. When combined with integral of absolute error measures of both solution types with the disturbance responses set as nearly equivalent, we can see that the filtered Smith predictor setpoint responses may be significantly faster than the filtered proportional–integral controller responses, more robust and, using higher-order filters, also sufficiently smooth. Furthermore, tuning of the possibly higher-order filters for filtered Smith predictor is simpler. Its overall design is more transparent and straightforward with respect to the control constraints, where the filtered Smith predictor requires some additional anti-windup measures.

scholarly journals Fractional order proportional-integral controller applied to a back-to-back converters

2018 ◽  
Vol 210 ◽  
pp. 02013
Author(s):  
Manuel A. Duarte-Mermoud ◽  
Juan-Carlos Travieso-Torres ◽  
Tedy A. Crespo-Herrera
Keyword(s):  
Fractional Order ◽  
Synchronous Generator ◽  
Power Converter ◽  
Electrical Network ◽  
Proportional Integral ◽  
Constant Torque ◽  
Pi Controllers ◽  
Network Simulations ◽  
Integral Controller ◽  
Proportional Integral Controller

The use of fractional order proportional-integral (FOPI) controllers, applied to back-to-back (BTB) power converters is proposed and studied in this paper. A comparative study with the integer order proportional-integral (PI) controllers, traditionally used for this purposes, is performed and the result are discussed. The BTB power converter is connected between a permanent magnet synchronous generator (PMSG) -which is moved by a turbine placed in line with a mineral pipeline for energy recovery purposesand the electrical network, to inject the recovered energy through a voltage control into the electrical network. Simulations under normal conditions (constant torque) as well as under variable torque variations are studied, representing different possible operating scenarios for the generator.

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