Tuning the PID Controller According to the Criterion of the Maximum Phase Margin

2021 ◽  
pp. 217-224
Author(s):  
Natalia Lysova ◽  
Nina Myasnikova ◽  
Dmitrii Plotnikov ◽  
Anatolii Semenov
2016 ◽  
Vol 67 (3) ◽  
pp. 160-168 ◽  
Author(s):  
Stepan Ozana ◽  
Tomas Docekal

Abstract This paper deals with design of PID controller with the use of methods of global optimization implemented in Matlab environment and Optimization Toolbox. It is based on minimization of a chosen integral criterion with respect to additional requirements on control quality such as overshoot, phase margin and limits for manipulated value. The objective function also respects user-defined weigh coefficients for its particular terms for a different penalization of individual requirements that often clash each other such as for example overshoot and phase margin. The described solution is designated for continuous linear time-invariant static systems up to 4th order and thus efficient for the most of real control processes in practice.


1993 ◽  
Vol 30 (4) ◽  
pp. 303-316 ◽  
Author(s):  
Annraoi M. De Paor

A fiftieth anniversary celebration of the Ziegler–Nichols PID controller The Ziegler–Nichols PID controller tuning rules (November 1942) are addressed anew in the frequency domain. They are shown to guarantee asymptotic stability for processes considered, with a phase margin of about 25°. Refinements and interrelationship are explored.


In this paper, PID controller for Decentralized TITO process is tuned using graphical approach. Ideal decoupler is used to decouple TITO system and then each decoupled system is approximated to FOPDT model. The Graphical method uses boundaries determined by the loci of stability and frequency domain characteristics such as Gain, and Phase margin etc. common region of these loci gives the values of the PID controller coefficients. The results are validated using MATLAB and the simulated results are presented for Coupled tank system.


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