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To solve this problem, the coagulated derivative is adopted in the paper; besides, the attitude dynamics equations derived in this paper take into account the effect of mass variation and the drift of orbital trajectory at the same time.
However, multiple faults cannot exist on a trajectory at the same time instant.
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Because of the relatively large number of trails (about 400), we used of a large 3D display to juxtapose a large number of trajectories at the same time.
In his career development course for scientists at the City University of New York, physics professor Brian Schwartz encourages Ph.D. students to pursue two career trajectories at the same time in case one doesn't work out.
We used Matlab to randomly generate 50,000 discrete trajectories, getting the mean-square value of 50,000 trajectories at the same time, that is, Y_{j}=frac{1}{50text000}sum_{i=1}^{50text000}bigl|y_{j}^{i}bigr|^{2}, where (y_{j}^{i}) is numerical solution of i trajectories at the time (t_{j}).
A composite control law is designed to track the desired trajectory while at the same time the internal dynamics is stabilized.
The torques of the hip joint and the knee joint as well as the EMG signals are acquired during the robot performing the predefined trajectory, and at the same time, the subject makes random efforts.
In this paper, we discuss the design problem of transfer trajectory and at the same time analyze the visible segment of Tracking, Telemetry & Control (TT&C) system for this mission.
The synchronization goal is to control the angular position of each wheel to a desired trajectory and at the same time the differential (or synchronization) error between the angular position of the two wheels.
Our planner first computes a key position (or middle point) based on the object's position, and then this key position is used as a partial goal in an optimization-based motion planner which computes a collision-free trajectory that at the same time minimizes the ring-shaped object's deformation through an elastic energy based objective function.
Simulation results show that the proposed controller has a remarkable performance for tracking the step and ramp reference trajectories while at the same time it is robust against steam flowrate changes.
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