Distributed Parameter Modeling and Boundary Control of Flexible Manipulators

2018 ◽  
Author(s):  
Jinkun Liu ◽  
Wei He
Keyword(s):  
Boundary Control ◽  
Distributed Parameter ◽  
Flexible Manipulators ◽  
Distributed Parameter Modeling

Boundary Control of an Axially Moving String Via Lyapunov Method

1999 ◽  
Vol 121 (1) ◽  
pp. 105-110 ◽  
Author(s):  
Rong-Fong Fung ◽  
Chun-Chang Tseng
Keyword(s):  
Boundary Control ◽  
Lyapunov Method ◽  
Sliding Mode ◽  
Semigroup Theory ◽  
Active Vibration Control ◽  
Nonlinear Partial Differential Equation ◽  
Distributed Parameter ◽  
Axially Moving String ◽  
Active Vibration ◽  
Axially Moving

This paper presents the active vibration control of an axially moving string system through a mass-damper-spring (MDS) controller at its right-hand side (RHS) boundary. A nonlinear partial differential equation (PDE) describes a distributed parameter system (DPS) and directly selected as the object to be controlled. A new boundary control law is designed by sliding mode associated with Lyapunov method. It is shown that the boundary feedback states only include the displacement, velocity, and slope of the string at RHS boundary. Asymptotical stability of the control system is proved by the semigroup theory. Finally, finite difference scheme is used to validate the theoretical results.

Distributed parameter modeling of fluid transmission lines

2021 ◽  
Vol 106 ◽  
pp. 155-172
Author(s):  
Ahmed Elkhashap ◽  
Daniel Rüschen ◽  
Dirk Abel
Keyword(s):  
Transmission Lines ◽  
Distributed Parameter ◽  
Distributed Parameter Modeling
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