On the stability and controller robustness of some popular PID tuning rules

2003 ◽  
Vol 48 (9) ◽  
pp. 1638-1641 ◽  
Author(s):  
G.J. Silva ◽  
A. Datta ◽  
S.P. Bhattacharyya
2011 ◽  
Vol 21 (1) ◽  
pp. 130-136 ◽  
Author(s):  
Alberto Leva ◽  
Martina Maggio

2006 ◽  
Vol 505-507 ◽  
pp. 1195-1200
Author(s):  
Jing Chung Shen ◽  
Huann Keng Chiang ◽  
Wen Yuh Jywe

This paper presents PID tuning rules for first-order plus integrator systems. These tuning rules are derived by optimizing the integrated absolute errors of set point and load disturbance responses under robustness and bandwidth constrains. For deriving the tuning formulas, PID controllers for some normalized systems were designed. The relationship between the controller parameters, the parameters that characterize the system dynamics and the normalized gain crossover frequency are determined and the tuning formulas are then derived. Experimental results are provided to demonstrate the effectiveness of these tuning rules.


Author(s):  
Zhenlong Wu ◽  
Jie Yuan ◽  
Donghai Li ◽  
Yali Xue ◽  
YangQuan Chen

Abstract Actuator rate limit deteriorates control performance with amplitude attenuation and phase delay, and may lead to system instability in process control. In this paper, great challenges for first-order plus time delay (FOPTD) systems are concerned. Based on the preliminary knowledge of the definition of rate limiter, the concept of closed-loop onset frequency with rate limiter and classic proportional-integral (PI) tuning rules, the rate limit effects on PI controller are analyzed by simulations. The results show that the rate limiter has significant influence on the stability regions of PI parameters which can be reduced greatly. Besides, PI tuning rules with the same robustness constraint can be obviously effected where Skogestad internal model (SIMC) tuning rule is more robust to the rate limit variation than that of maximize the integral gain (Åström) and robustness constrained optimization (DRO) tuning rule. These results can offer a guideline to tune PI parameters when actuators have non-ignorable rate limit for industrial applications.


Aerospace ◽  
2020 ◽  
Vol 7 (6) ◽  
pp. 71
Author(s):  
Victor Gomez ◽  
Nicolas Gomez ◽  
Jorge Rodas ◽  
Enrique Paiva ◽  
Maarouf Saad ◽  
...  

Unmanned aerial vehicles (UAVs) are affordable these days. For that reason, there are currently examples of the use of UAVs in recreational, professional and research applications. Most of the commercial UAVs use Px4 for their operating system. Even though Px4 allows one to change the flight controller structure, the proportional-integral-derivative (PID) format is still by far the most popular choice. A selection of the PID controller parameters is required before the UAV can be used. Although there are guidelines for the design of PID parameters, they do not guarantee the stability of the UAV, which in many cases, leads to collisions involving the UAV during the calibration process. In this paper, an offline tuning procedure based on the multi-objective particle swarm optimization (MOPSO) algorithm for the attitude and altitude control of a Px4-based UAV is proposed. A Pareto dominance concept is used for the MOPSO to find values for the PID comparing parameters of step responses (overshoot, rise time and root-mean-square). Experimental results are provided to validate the proposed tuning procedure by using a quadrotor as a case study.


2013 ◽  
Vol 60 (10) ◽  
pp. 4650-4664 ◽  
Author(s):  
Konstantinos G. Papadopoulos ◽  
Eirini N. Papastefanaki ◽  
Nikolaos I. Margaris

2014 ◽  
Vol 32 ◽  
pp. 43-63 ◽  
Author(s):  
V. Romero Segovia ◽  
T. Hägglund ◽  
K.J. Åström

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