Kursk, Kursk, Russian Federation
Kursk, Kursk, Russian Federation
Kursk, Kursk, Russian Federation
BBK 344 Общее машиностроение. Машиноведение
The study objective is to develop approaches to the design of a mobile wheeled robot for transporting small-sized goods, operating autonomously without the participation of a human operator. At the same time, the main task is to develop a mathematical model of a wheeled robot that takes into account the moments of rolling friction and sliding of the driving wheels on the support surface, and which allows to study the starting operation modes of the electromechanical drive of a mobile device. The increase in the speed of the mobile robot is achieved by minimizing the acceleration time to the required speed values through the use of a 2-stage algorithm for changing the control voltage. The development of a mathematical model of a robotic system is carried out on the basis of methods of analytical mechanics and the theory of automatic control. Using the Laplace transforms, an analytical solution of differential equations describing the dynamics of a mobile robot is obtained. Numerical solution of the obtained equations is carried out in Mathcad interface. The novelty of the work consists in obtaining time dependencies for the speed and current in the circuit of the electric motor of the mobile robot wheeled drive and finding out the basic patterns of movement at its launch. The results of the conducted research can be used in the development of motion control systems for mobile robots with feedback, ensuring the stabilization of a set value of the movement speed in steady-state modes. Conclusions: a mathematical model of a mobile robotic system is developed, the starting modes of its operation and the method of combined motion control are studied, the speed of a mobile wheeled device is increased when moving along a given trajectory.
: mobile robot, transportation, cargo, control, movement, mathematical modeling, voltage, speed
1. Yatsun SF, Zhuo PV, Rukavitsyn AN. Study of the movement of a mobile wheeled system with interlocked drivers. Proceedings of the International Scientific and Practical Conference, 2018: Progress of Vehicles and Systems; 2018.
2. Yatsun SF, Zhuo PV, Rukavitsyn AN. Prospects for the development of mobile robotic systems with interlocked drivers. Trends in the development of science and education; 2018.
3. Campion G, Basten J, d'Andrea-Novell B. Structural properties and classification of mathematical and dynamic models of mobile wheeled robots. Nonlinear Dynamics. 2011;7(4):733-769.
4. Pavlovsky VE, Aliseychik AP. Model and dynamic estimates of controllability and comfort of movement of a multi-wheeled mobile robot. Control Sciences. 2013;1:70-78.
5. Sizykh VN, Bakanov MV. Mathematical model for adaptive control of a three-wheeled mobile robot. Proceedings of the International Scientific and Practical Conference, 2018: Transport, Mining and Construction Engineering: Science and Production. St. Petersburg: SPbF SIC MS; 2018.
6. Bartenev VV, Yatsun SF, Al Yezzi AS. Mathematical model of the movement of a mobile robot with two independent driving wheels along a horizontal plane. Izvestia of Samara Scientific Center of the Russian Academy of Sciences. 2011;4(13):288-293
7. Pupkov KA, Egupov ND. Methods of classical and modern theory of automatic control. Synthesis of regulators of automatic control systems. Moscow: Publishing House of Bauman Moscow State Technical University; 2004.
8. Zenkevich SL, Nazarova AV. Control system of a mobile wheeled robot. Herald of the Bauman Moscow State Technical University. Instrument Engineering. 2006;3:31-48.
9. Gronowicz A, Szrek J. Design of LegVan wheel-legged robot’s. Mechanical and Control System ( SYROM 2009); 2009.
10. Krzysztof Kozlowski. Dariusz Pazderski. Modeling and control of fourwheeled skid-steering mobile robot. Math. Comput. Sci. 2004;14(4):477–496.
11. Evstigneev MI, Litvinov YuV, Mazulina VV. Algorithms for controlling the robot when driving over rough terrain. Izv. universities. Instrumentation. 2015;9(58):738-741.
