Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties

2013 ◽  
pp. 95-103
Author(s):  
Larisa A. Nazarova ◽  
Leonid A. Nazarov
Keyword(s):  
Inverse Problems ◽  
The State ◽  
Rock Masses

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.

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