Control of a system of two interacting bodies on a rough inclined plane

机译：在粗糙的倾斜平面上控制两个相互作用的物体的系统

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For a system of two bodies on an inclined plane with Coulomb’s friction, the in-principle possibility for driving the system to an arbitrary terminal state of rest by means of control of the interaction force between the bodies is proved for the case where the bodies do not rest on the common line of maximum slope in the initial state. A control algorithm that combines quasistatic and fast motions is designed.

机译：对于在倾斜平面上具有库仑摩擦的两个物体的系统，对于其中两个物体之间存在相互作用的情况，证明了通过控制两个物体之间的相互作用力将系统驱动到任意最终静止状态的原理可能性在初始状态下不要停留在最大斜率的公共线上。设计了一种将准静态和快动作相结合的控制算法。

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《International Conference on Stability and Oscillations of Nonlinear Control Systems》|2020年|1-4|共4页
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N. N. Bolotnik; T. Yu. Figurina;
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locomotion systems; interacting bodies; inclined plane; Coulomb’s friction; control of motion;

机译：运动系统;相互作用的物体;倾斜的平面;库仑的摩擦;运动的控制;

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专利

1. Periodic locomotion of a two-body crawling system along a straight line on a rough inclined plane [J] . N. Bolotnik, P. Schorr, I. Zeidis, Zeitschrift fur Angewandte Mathematik und Mechanik . 2018,第11期

机译：沿着粗糙倾斜平面上直线的双体爬行系统的周期性运动
2. Optimal control of the rectilinear motion of a rigid body on a rough plane by means of the motion of two internal masses [J] . N.N. Bolotnik, T.Yu. Figurina Journal of applied mathematics and mechanics . 2008,第2期

机译：通过两个内部质量块的运动，对刚体在粗糙平面上的直线运动的最佳控制
3. Dense granular flow of mixtures of spheres and dumbbells down a rough inclined plane: Segregation and rheology [J] . Mandal Sandip, Khakhar D. V. Physics of fluids . 2019,第2期

机译：粗糙倾斜平面致密的球体和哑铃混合物的密集颗粒状：分离和流变
4. Control of a system of two interacting bodies on a rough inclined plane [C] . N. N. Bolotnik, T. Yu. Figurina International Conference on Stability and Oscillations of Nonlinear Control Systems . 2020

机译：控制粗倾斜平面上的两个相互作用体系的系统
5. Design, development and testing of a fuzzy logic and rough set controller for HVAC systems. [D] . Arima, Masanori. 1996

机译：HVAC系统的模糊逻辑和粗糙集控制器的设计，开发和测试。
6. High axial resolution imaging system for large volume tissues using combination of inclined selective plane illumination and mechanical sectioning [O] . Qi Zhang, Xiong Yang, Qinglei Hu, 2017

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7. The study on flow properties of nonconvex particles down a rough inclined plane [O] . Wenjin Han, Dengming Wang, Yisong Wu 2021

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Control of a system of two interacting bodies on a rough inclined plane

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