Pneumatic drives in comparison with other types of drives have a large number of advantages: it is the simplicity of design and maintenance; insensitivity to overloads; the availability of air used as a working fluid; environmental friendliness, etc. The article presents a non-linear mathematical model of the pneumatic system, which consists of the equations of the dynamics of the piston, as well as the equations of pressure formation in the chambers of the pneumatic cylinder. Existing methods for controlling such systems are considered. The synthesis of the laws of control by the AKAR method is carried out, graphs of changes in the phase coordinates of the system and control actions are also presented. A comparative analysis of a nonlinear synergetic controller and a linear and nonlinear PID controller obtained by the classical method of typical controllers is presented.

Topics
Control equipment, Mathematical modeling
1.
A.N.
 
Kharchenko
, “
Improving the accuracy and speed of industrial mechatronic electro-pneumatic servo drives based on hardware and software integration of mechatronic components
,” Ph.D. thesis,
Moscow State Technological University
,
2010
.
Google Scholar
 
2.
B.
 
Yao
 and
D.
 
Chris
, “Energy-saving adaptive robust motion control single-rod hydraulic cylinders with programmable valves,” in
Proc. of the American Control Conference
,
Anchorage
,
USA
,
2002
pp.
4819
–
4824
.
Google Scholar
 
3.
N.
 
Shu
,
G. M.
 
Bone
 et al, “
Experimental comparison of two pneumatic servo position control algorithms,”
/
in Proc of the IEEE International Conference on Mechatronics & Automation
,
Niagara Falls, Canada
,
2005
, pp.
37
–
42
.
Google Scholar
 
4.
B. W.
 
McDonell
 and
J. E.
 
Bobrow
, “
Modeling, identification, and control of a pneumatically actuated, force controllable robot
,”
IEEE Transactions on Robotics and Automation
,
1998
, pp.
732
–
742
.
Google Scholar
 
5.
A.H.
 
Jones
 and
P.B.
 
Oliveira
, “Evolutionary Design of PID Control Structures,”
Proc. IFAC Workshop on Digital Control - Past, Present and Future of PID Control
,
Terrassa
,
2000
, pp.
205
–
213
.
Google Scholar
 
6.
D.
 
Meng
,
G.
 
Tao
 and
X.
 
Zhu
,
International Journal of Control
,
Letters
 
86
,
1620
–
1633
(
2013
).
Google Scholar
 
7.
V.
 
Denisenko
,
Modern automation technologies
.
Letters
 
1
,
78
–
88
(
2007
).
Google Scholar
 
8.
J.
 
Quevedo
 and
T.
 
Escobet
, “Digital control: past, present and future of PID control,” in
Proc. IFAC Workshop
,
Terrassa
,
2000
, pp.
145
–
152
.
Google Scholar
 
9.
Y.
 
Li
,
K.
 
Ang
, and
G.C.Y.
 
Chong
, “
Patents, Software, and Hardware for PID control
,”
an overview and analysis of the current art. IEEE Control Systems Magazine
,
2006
, pp.
41
–
54
.
Google Scholar
 
10.
A.
 
O’Dwyer
, “
PID compensation of time delayed processes 1998-2002: a survey
,”
Proceedings of the American Control Conference. Denver
,
Colorado
,
2003
, pp.
1494
–
1499
.
Google Scholar
Crossref
Search ADS
 
11.
T.A.
 
Pyavchenko
,
News of the Southern Federal University. Technical science
.
Letters
 
2
,
135
–
141
. (
2012
).
Google Scholar
 
12.
T.A.
 
Pyavchenko
,
Bulletin of the Taganrog Radio Engineering University
.
Letters
 
5
,
83
–
88
. (
2006
).
Google Scholar
 
13.
Z.
 
Situm
,
D.
 
Pavkovic
, and
B.
 
Novakovic
,
Journal of Dynamic Systems, Measurement, and Control, Letters
 
2
, pp.
376
–
387
. (
2004
).
https://doi.org/10.1115/1.1767857
Crossref
Search ADS
 
14.
S.
 
Cai
,
S.
 
Wu
, and
G.
 
Bao
,
Journal of Applied Mathematics, Letters
 
3
, pp.
228
–
235
. (
2013
).
15.
S.
 
Mu
,
S.
 
Shibata
,
T.
 
Yamamoto
,
S.
 
Goto
,
S.
 
Nakashima
, and
K.
 
Tanaka
,
International Symposium on Artificial Intelligence and Robotics ISAIR 2018: Cognitive Internet of Things: Frameworks, Tools and Applications, Letters
 
810
,
323
–
332
. (
2018
).
16.
S.
 
Shibata
,
M.
 
Jindai
,
T.
 
Yamamoto
, and
A.
 
Shimizu
,
JSME International Journal Series
,
Letters
 
1
,
189
–
196
. (
2006
).
Google Scholar
 
17.
A.A
 
Kolesnikov
,
G.E.
 
Veselov
,
A.N.
 
Popov
 “Synergetic management methods for complex systems: mechanical and electromechanical systems,” (
LIBROKOM
,
Moscow
,
2013
), p.
304
.
18.
A.A
 
Kolesnikov
, “Synergetic and problems of control theory,” (
PHYSMATLITIS
,
Moscow
,
2004
), p.
504
.
This content is only available via PDF.
© 2019 Author(s).
2019
Author(s)