A generalized reduced gradient method for the optimal control of multiscale dynamical systems

2013 ◽  
Author(s):  
Keith Rudd ◽  
Greg Foderaro ◽  
Silvia Ferrari
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Gradient Method ◽  
Reduced Gradient Method ◽  
Reduced Gradient ◽  
Generalized Reduced Gradient

Multi-objective traction optimization of vehicles in loose dry sand using the generalized reduced gradient method

2016 ◽  
Vol 64 ◽  
pp. 46-57 ◽  
Author(s):  
Joe D. Robinson ◽  
Farshid Vahedifard ◽  
Masoud Rais-Rohani ◽  
George L. Mason ◽  
Jody D. Priddy
Keyword(s):  
Gradient Method ◽  
Multi Objective ◽  
Reduced Gradient Method ◽  
Reduced Gradient ◽  
Dry Sand ◽  
Generalized Reduced Gradient

Optimum Balancing of Three-Dimensional “RSSR” Mechanisms

1999 ◽  
Author(s):  
Tarcisio Antonio Hess Coelho ◽  
Valter Francisco Arruda Alves
Keyword(s):  
Dynamic Behavior ◽  
Gradient Method ◽  
Numerical Optimization ◽  
Three Dimensional ◽  
Physical Models ◽  
Line Position ◽  
Reduced Gradient Method ◽  
Optimum Configuration ◽  
Reduced Gradient ◽  
Generalized Reduced Gradient

Abstract The Generalized Reduced Gradient method of numerical optimization is applied in obtaining the reduction of moments and forces transmitted to the frame of a three-dimensional RSSR mechanism. Such a modification of dynamic behavior of the mechanism, or balancing, is achieved by the addition of counterweights attached to the moving links in an off-line position. The evaluation of the obtained optimum configuration is performed by comparing the measured vibration levels of the frame of physical models of the balanced and unbalanced mechanism.

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