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Control of Synergetic Processes to Ensure the Asymptotic Stability of Hydraulic Systems

Authors: Popov D.N., Sosnovskiy N.G., Siukhin M.V. Published: 24.05.2017
Published in issue: #3(72)/2017  
DOI: 10.18698/1812-3368-2017-3-37-51

 
Category: Mathematics and Mechanics | Chapter: Mechanics of Liquid, Gas and Plasma  
Keywords: the mathematical model, dynamic hydraulic system, synergy process, nonlinear mechanics

The purpose of the article is to consider the problem of synthesis of structure and parameters of nonlinear dynamic hydraulic systems. On the basis of nonlinear dynamics the study shows that in such systems synergistic processes are possible. We give mathematical models of systems with electrohydraulic servo drives and pumps. For preliminary analytical studies of the dynamics of these hydraulic systems we applied the second (direct) Lyapunov method. As a result of the research we propose a method of the sequential selection of control algorithms according to which in the first stage the problem is solved within the linear control theory, and in the second stage, the resulting algorithms are adjusted for inherent nonlinearities in the characteristics of the hydraulic system.

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