Naive control of the double integrator

2001 ◽  
Vol 21 (5) ◽  
pp. 86-97 ◽  
Keyword(s):  
Naive Control ◽  
Double Integrator

scholarly journals Delay Equivalences in Tuning PID Control for the Double Integrator Plus Dead-Time

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 328
Author(s):  
Mikulas Huba ◽  
Damir Vrancic
Keyword(s):  
Dead Time ◽  
Pid Controllers ◽  
Noisy Environment ◽  
Advantages And Disadvantages ◽  
Implementation Problem ◽  
Low Pass ◽  
Excellent Control ◽  
Low Pass Filters ◽  
Double Integrator

The paper investigates and explains a new simple analytical tuning of proportional-integrative-derivative (PID) controllers. In combination with nth order series binomial low-pass filters, they are to be applied to the double-integrator-plus-dead-time (DIPDT) plant models. With respect to the use of derivatives, it should be understood that the design of appropriate filters is not only an implementation problem. Rather, it is also critical for the resulting performance, robustness and noise attenuation. To simplify controller commissioning, integrated tuning procedures (ITPs) based on three different concepts of filter delay equivalences are presented. For simultaneous determination of controller + filter parameters, the design uses the multiple real dominant poles method. The excellent control loop performance in a noisy environment and the specific advantages and disadvantages of the resulting equivalences are discussed. The results show that none of them is globally optimal. Each of them is advantageous only for certain noise levels and the desired degree of their filtering.

scholarly journals Reset control of the double integrator with finite settling time and finite jerk

Automatica ◽  
2021 ◽  
Vol 127 ◽  
pp. 109536
Author(s):  
Antonio Barreiro ◽  
Alfonso Baños ◽  
Emma Delgado
Keyword(s):  
Settling Time ◽  
Reset Control ◽  
Double Integrator

Traveling Salesperson Problems for a Double Integrator

2009 ◽  
Vol 54 (4) ◽  
pp. 788-793 ◽  
Author(s):  
K. Savla ◽  
F. Bullo ◽  
E. Frazzoli
Keyword(s):  
Double Integrator
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