Compact Numerical Methods for Computers: Linear Algebra and Function Minimization (J. C. Nash)

SIAM Review ◽  
1981 ◽  
Vol 23 (1) ◽  
pp. 124-125 ◽  
Author(s):  
Ralph A. Willoughby
Keyword(s):  
Numerical Methods ◽  
Linear Algebra ◽  
Function Minimization ◽  
And Function

Numerical Methods in Linear Algebra

1994 ◽  
pp. 1310-1363
Author(s):  
Jitka Segethová ◽  
Karel Segeth
Keyword(s):  
Numerical Methods ◽  
Linear Algebra

Trajectory tracking of a mini four-rotor helicopter in dynamic environments - a linear algebra approach

Robotica ◽  
2014 ◽  
Vol 33 (08) ◽  
pp. 1628-1652 ◽  
Author(s):  
Claudio Rosales ◽  
Daniel Gandolfo ◽  
Gustavo Scaglia ◽  
Mario Jordan ◽  
Ricardo Carelli
Keyword(s):  
Control System ◽  
Numerical Methods ◽  
Linear Algebra ◽  
Trajectory Tracking ◽  
Dynamic Environments ◽  
Lagrange Equations ◽  
3D Space ◽  
Control Actions ◽  
Algebra Approach ◽  
Simulation Results

SUMMARYThis paper presents the design of a controller that allows a four-rotor helicopter to track a desired trajectory in 3D space. To this aim, a dynamic model obtained from Euler-Lagrange equations describes the robot. This model is represented by numerical methods, with which the control actions for the operation of the system are obtained. The proposed controller is simple and presents good performance in face of uncertainties in the model of the system to be controlled. Zero-convergence proof is included, and simulation results show a good performance of the control system.

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