Synthesis of the synergetic control law of the transport robotic platform

Fuzzy Synergetic Control for Dynamic Car-Like Mobile Robot

“…where 𝑇 = [𝑇1, 𝑇2]𝑇 is the rate of convergence vector of the macro-variables to manifolds 𝜎 = 0, and σ̇is the derivative of the aggregated macro variable by time.  Solve the system (17) with the evolution condition (18) to obtain the control law.…”

“…Veselov et al [19] solved the problem of a group of mobile robots using the principles and methods of synergistic control theory. Sklyarov et al [18] presented the explanation of using new nonlinear approaches to design control systems for omnidirectional mobile robots, the synergetic control theory (SCT). Bhattacharyya et al [3] proposed a brain-machine interfacing (BMI) paradigm for controlling the direction of end-point movement of a 3-degrees of freedom (DOF) robot arm, and they use a synergetic algorithm to manage a peripheral redundancy in multi-DOF joints towards energy optimality.…”

Research of the vacuum brake booster working process

“…A number of scientists of the Department of "Automobiles" named after A.I. d.t.s., prof. Gredeskula A.B., at Kharkiv National Automobile and Road University, have made a range of researches which are reflected in a number of scientific papers [8,[24][25][26][27][28]. Comparison of the results of theoretical studies obtained in these works with the experimental ones obtained on the laboratory setup suggested in this work, according to the experimental method described in the article, using the created electronic signal processing complex and a sensor unit, made it possible to establish a discrepancy between theoretical and experimental research within 6 %.…”

“…The reliability of theoretical provisions fully depends on the level of experimental research. Theoretical studies carried out by the authors in [8,[24][25][26][27][28] required experimental confirmation, as a result of which it became necessary to create a special installation for studying the working process of a vacuum brake booster.…”

An adaptive hybrid control strategy for a class of nonlinear systems

“…The synergetic control theory has been applied in a variety of domains since it was originally introduced by the Russian academic Kolesnikov, including robotics, electrical systems, power systems, and other nonlinear systems (Sklyarov 2017;Wang et al 2018bWang et al , 2020Nechadi et al 2016;Rastegar et al 2017;Djennoune and Bettayeb 2013;Ettouil et al 2018). The synergetic control theory gives significant control performance outside the manifold in comparison to the sliding mode control technique, and the chattering effect is mitigated.…”