Fractional order proportional integral (FOPI) and [proportional integral] (FO[PI]) controller designs for first order plus time delay (FOPTD) systems

2009 ◽  
Author(s):  
ChunYang Wang ◽  
Ying Luo ◽  
YangQuan Chen
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Pi Controller ◽  
Proportional Integral ◽  
First Order

scholarly journals PI Controller Design for Time Delay Systems Using an Extension of the Hermite-Biehler Theorem

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Sami Elmadssia ◽  
Karim Saadaoui ◽  
Mohamed Benrejeb
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Pi Controller ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Proportional Integral ◽  
First Order ◽  
Pi Controllers ◽  
Interval Type

We consider stabilizing first-order systems with time delay. The set of all stabilizing proportional-integral PI controllers are determined using an extension of the Hermite-Biehler theorem. The time delay is approximated by a second-order Padé approximation. For uncertain plants, with interval type uncertainty, robust stabilizing PI controllers are determined.

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.

Sign in / Sign up

Export Citation Format

Share Document