Lyapunov's Direct Method for Uncertain Systems

2011 ◽  
pp. 7-53
Keyword(s):  
Uncertain Systems ◽  
Direct Method ◽  
Lyapunov’S Direct Method

scholarly journals Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Tung Lam Nguyen ◽  
Trong Hieu Do ◽  
Hong Quang Nguyen
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Simulations ◽  
Vibration Suppression ◽  
Direct Method ◽  
Equations Of Motion ◽  
Gantry Crane ◽  
Partial Differential ◽  
Control Approach ◽  
Lyapunov’S Direct Method

The paper presents a control approach to a flexible gantry crane system. From Hamilton’s extended principle the equations of motion that characterized coupled transverse-transverse motions with varying rope length of the gantry is obtained. The equations of motion consist of a system of ordinary and partial differential equations. Lyapunov’s direct method is used to derive the control located at the trolley end that can precisely position the gantry payload and minimize vibrations. The designed control is verified through extensive numerical simulations.

On the theory of Lyapunov’s direct method

2006 ◽  
Vol 73 (3) ◽  
pp. 376-379 ◽  
Author(s):  
A. A. Martynyuk
Keyword(s):  
Direct Method ◽  
Lyapunov’S Direct Method
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