scholarly journals The method of inverse problems of dynamics for the synthesis of a system of stabilization of the movement of a dynamic object on operatively programmable trajectories

2020 ◽  
Vol 7 (1) ◽  
pp. 29-38
Author(s):  
O. A. Mashkov ◽  
◽  
V. A. Chumakevich ◽  
Yu. V. Mamchur ◽  
V. R. Kosenko ◽  
...  
Keyword(s):  
Inverse Problems ◽  
Dynamic Object ◽  
Inverse Problems Of Dynamics

scholarly journals PATH FOLLOWING PROBLEM FOR UAV CARRYING PENDULUM

2021 ◽  
Vol 55 (1 (254)) ◽  
pp. 56-63
Author(s):  
Arman S. Shahinyan
Keyword(s):  
Inverse Problems ◽  
Equilibrium Point ◽  
Center Of Mass ◽  
Path Following ◽  
The State ◽  
State Trajectory ◽  
Control Actions ◽  
Inverse Problems Of Dynamics ◽  
Yaw Angle

The linearized dynamics of a UAV is considered along with a pendulum hanging from it. The state trajectories of the center of mass of the UAV are given. Given the trajectory of the center of mass of the UAV and the state trajectory of its yaw angle, we have to find the control actions and conditions under which the UAV would follow the path while holding the pendulum stable around its lower equilibrium point. The problem is solved using the method for solving inverse problems of dynamics. All the state trajectories of the system and all the control actions are calculated. The condition is obtained under which a solution to the path following problem exists. A specified simple trajectory is chosen as an example for visualizing the results.

scholarly journals On stochastic inverse problem of construction of stable program motion

2021 ◽  
Vol 19 (1) ◽  
pp. 157-162
Author(s):  
Marat I. Tleubergenov ◽  
Gulmira K. Vassilina
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Integral Manifold ◽  
Random Perturbations ◽  
First Order ◽  
Comparison Functions ◽  
Inverse Problems Of Dynamics ◽  
The Given

Abstract One of the inverse problems of dynamics in the presence of random perturbations is considered. This is the problem of the simultaneous construction of a set of first-order Ito stochastic differential equations with a given integral manifold, and a set of comparison functions. The given manifold is stable in probability with respect to these comparison functions.

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