## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2013, Special Issue (2013), Article ID 375483, 10 pages.

### Cylinder Position Servo Control Based on Fuzzy PID

#### Abstract

The arbitrary position control of cylinder has always been the hard challenge in pneumatic system. We try to develop a cylinder position servo control method by combining fuzzy PID with the theoretical model of the proportional valve-controlled cylinder system. The pressure differential equation of cylinder, pressure-flow equation of proportional valve, and moment equilibrium equation of cylinder are established. And the mathematical models of the cylinder driving system are linearized. Then fuzzy PID control algorithm is designed for the cylinder position control, including the detail analysis of fuzzy variables and domain, fuzzy logic rules, and defuzzification. The stability of the proposed fuzzy PID controller is theoretically proved according to the small gain theorem. Experiments for targets position of 250 mm, 300 mm, and 350 mm were done and the results showed that the absolute error of the position control is less than 0.25 mm. And comparative experiment between fuzzy PID and classical PID verified the advantage of the proposed algorithm.

#### Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 375483, 10 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394806111

Digital Object Identifier
doi:10.1155/2013/375483

#### Citation

Cai, Shibo; Wu, Shunlei; Bao, Guanjun. Cylinder Position Servo Control Based on Fuzzy PID. J. Appl. Math. 2013, Special Issue (2013), Article ID 375483, 10 pages. doi:10.1155/2013/375483. https://projecteuclid.org/euclid.jam/1394806111

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