SYNTHESIS OF A DIGITAL REGULATOR OF A HYDRAULIC SYSTEM FOR STABILIZING AN UNDERWATER OBJECT

Abstract

The article presents the results of the development and synthesis of a hydraulic system for stabilizing an underwater object. For completeness and accuracy of mathematical modeling in the hydraulic system, the forces of dry friction between the piston and the walls of the hydraulic cylinder, the forces of dry friction between the rod and the hydraulic cylinder, which together determine the total dry friction force in the active hydraulic cylinder, the total dry friction force in the passive hydraulic cylinder, and the acceleration of movement, are taken into account. Also taken into account is the reduced mass of the system of blocks and chain hoist, the mass of the moving parts of the active and passive hydraulic cylinders. After calculating the mass and dynamic characteristics of the hydraulic stabilization system, mathematical modeling of the developed system was carried out. In the process of developing and synthesizing the system, the features and typical non-linearities of the hydraulic and pneumatic parts included in the system were taken into account, such as the flow characteristic of a spool-type hydraulic valve, low leakage and compression costs in the working cavities of the active hydraulic cylinder. When designing, the adiabatic nature of the process in the pneumohydraulic displacer was adopted, since the reaction and movement of the hydraulic stabilization system occurs quite quickly, which means that the heat exchange with the environment will be negligible. In the process of synthesizing the mathematical model of the system, the nonlinearity of the rope elasticity coefficient is taken into account. A study of the stability of the mathematical model of the stabilization system was carried out and a synthesis of the control system for the hydraulic part of the system was carried out using a fairly common PID controller. The PID controller parameters were calculated using a standard calculation method. Since the result of the operation of the stabilization system with such a synthesis of the control system strongly depended on the perturbation signal, it was decided to increase the invariance of the system with respect to the input signal by introducing a combined control. Such an improvement of the system turned out to be sufficient to improve the quality of the mathematical model of the hydraulic stabilization system. A digital redesign of the controller was carried out, the features of the operation of analog-to-digital transducers of sensors were taken into account. The simulation results showed the operability of such a control system.

Authors

References

1. Gamynin N.S. Gidravlicheskiy privod sistem upravleniya [Hydraulic drive of control systems].
Moscow: Mashinostroenie, 1972, 376 p.
2. Tran V.T., Korikov A.M., Nguen T.T. Modelirovanie gidravlicheskoy sistemy avtomaticheskoy
stabilizatsii [Modeling of the hydraulic system of automatic stabilization], Elektronnye
sredstva i sistemy upravleniya: Mater. dokladov Mezhdunarodnoy nauchno-prakticheskoy
konferentsii [Electronic means and control systems: Materials of reports of the International
scientific-practical conference], 2021, No. 1-2, pp. 85-88.
3. Igamberdiev K.A. Matematicheskoe modelirovanie stabilizatsii gidroprivoda s nelineynoy
nagruzkoy [Mathematical modeling of the stabilization of a hydraulic drive with a nonlinear
load], Problemy vychislitel'noy i prikladnoy matematiki [Problems of Computational and Applied
Mathematics], 2019, No. 3 (21), pp. 30-39.
4. Voronov D.Yu. Gidrotsilindry: ucheb.-metod. posobie [Hydraulic cylinders: textbook-method.
Allowance]. Tol'yatti: TGU, 2011, 72 p.
5. Pan M., Johnston N., Plummer A. Theoretical and experimental studies of a switched inertance
hydraulic system, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of
Systems and Control Engineering, Vol. 228, Issue 1, pp. 12-25.
6. Kudryavtsev D.S., Yakovlev A.A., Chernus' Petr P., Chernus' Pavel P., Sakhabudinov R.V.,
Golosiy A.S. Obespechenie funktsionirovaniya robototekhnicheskoy sistemy «avtonomnyy
glubokovodnyy apparat» v rezhime aktivnoy kompensatsii kachki [Ensuring the functioning of
the robotic system "autonomous deep-sea vehicle" in the mode of active roll compensation],
Tr. 33-y Mezhdu-narodnoy nauchno-tekhnicheskoy konferentsii «Ekstremal'naya
robototekhnika», 29-30 sentyabrya 2022 g. [Proceedings of the 33rd International Scientific and
Technical Conference "Extreme Robotics", September 29-30, 2022]. St. Petersburg: Izd-vo:
TSNII RTK, 2022, pp. 295-307.
7. Chernyy G.G. Gazovaya dinamika: uchebnik dlya universitetov i vtuzov [Gas dynamics:
A textbook for universities and colleges]. Moscow: Nauka. Gl. red. fiz.-mat. lit., 1988, 424 p.
8. Lebedeva N.A. Modelirovanie kolebaniy temperatury v gidravlicheskoy sisteme s perepuskom
topliva [Modeling of temperature fluctuations in a hydraulic system with fuel bypass], Voprosy
nauki [Questions of science], 2015, Vol. 7, pp. 11-15.
9. Knežević D., Savić V. Mathematical modeling of changing of dynamic viscosity, as a function
of temperature and pressure, of mineral oils for hydraulic systems, Facta universitatis - series:
Mechanical Engineering, 2006, Vol. 4, br. 1, pp. 27-34.
10. Helian V., Chen Z., Yao B., Lyu L. Accurate motion control of a direct-drive hydraulic system
with an adaptive nonlinear pump flow compensation, IEEE/ASME Transactions on Mechatronics,
Oct. 2021, Vol. 26, No. 5, pp. 2593-2603. DOI: 10.1109/TMECH.2020.3043576.
11. Coskun G., Kolcuoglu T., Dogramac T. Analysis of a priority flow control valve with hydraulic
system simulation model, J. Braz. Soc. Mech. Sci. Eng., 2017, Vol. 39, pp. 1597-1605.
12. Rybak A.T., Lyakhnitskaya O.V. Modelirovanie privodov tekhnologicheskikh mashin s uchetom
ob"emnoy zhestkosti ikh gidravlicheskikh sistem [Modeling of drives of technological machines
taking into account the volumetric rigidity of their hydraulic systems], Aktual'nye napravleniya
nauchnykh issledovaniy XXI veka: teoriya i praktika [Actual directions of scientific research of
the XXI century: theory and practice], 2015, Vol. 3, No. 9-3 (20-3), pp. 271-276.
13. German-Galkin S.G. Komp'yuternoe modelirovanie poluprovodnikovykh sistem v MATLAB
6.0 [Computer modeling of semiconductor systems in MATLAB 6.0]. St. Petersburg:
KORONA print, 2001, 320 p.
14. Kolisnichenko A.S., Strutinskaya E.V. Ispol'zovanie programmnogo paketa Simulink dlya
imitatsionnogo modelirovaniya gidravlicheskoy sistemy [Using the Simulink software package
for hydraulic system simulation], Novye tekhnologii – neftegazovomu regionu: Mater.
Mezhdunarodnoy nauchno-prakticheskoy konferentsii [New technologies for the oil and gas
region. materials of the International scientific-practical conference], 2016, pp. 86-88.
15. Çetin Ş., Akkaya A.V. Simulation and hybrid fuzzy-PID control for positioning of a hydraulic
system, Nonlinear Dynamics, 2010, Vol. 61, pp. 465-476.
16. Chalupa P., Novák J. Modeling and model predictive control of a nonlinear hydraulic system, Elsevier,
Computers & Mathematics with Applications, August 2013, Vol. 66, Issue 2, pp. 155-164.
17. Plykina E.V. Tsifrovoy algoritm upravleniya gidroprivodom s zolotnikovym raspredelitelem
[Digital control algorithm for a hydraulic drive with a spool valve], Tekhnika XXI veka
glazami molodykh uchenykh i spetsialistov [Technology of the XXI century through the eyes
of young scientists and specialists], 2020, No. 18, pp. 166-174.
18. Nechaev Yu.M., Nikushchenko D.V. Nechetkaya formal'naya sistema upravleniya
modelirovaniem nestatsionarnoy dinamiki podvodnykh ob"ektov [Fuzzy formal control system
for modeling the unsteady dynamics of underwater objects], XXIII Mezhdunarodnaya
konferentsiya po myagkim vychisleniyam i izmereniyam [XXIII International Conference on
Soft Computing and Measurements], 2020, Vol. 1, pp. 174-176.
19. Shi Z., Gu F., Lennox B., Ball A.D. The development of an adaptive threshold for model-based
fault detection of a nonlinear electro-hydraulic system, Control Engineering Practice, November
2005, Vol. 13, Issue 11, pp. 1357-1367.
20. Huang K., Wu S., Li F., Yang C. Fault diagnosis of hydraulic systems based on deep learning
model with mutilate data samples, IEEE Transactions on Neural Networks and Learning Systems,
November 2022, Vol. 33, Issue 11.
21. Feng H., Yin C., Ma W., Yu H., Cao D. Parameters identification and trajectory control for a
hydraulic system, ISA Transactions, September 2019, Vol. 92, pp. 228-240.

Скачивания

Published:

2023-04-10

Issue:

Section:

SECTION I. PROSPECTS FOR THE APPLICATION OF ROBOTIC COMPLEXES

Keywords:

Hydraulic drive, stability, synthesis of control systems, combined management, digital redesign, time sampling period