Stability Analysis of a Flexible Two-Link Timoshenko Manipulator Using Boundary Control Method

2008 ◽  
Author(s):  
Hossein Rastgoftar ◽  
Masih Mahmoodi ◽  
Mohammad Eghtesad ◽  
Mojtaba Kazemi
Keyword(s):  
Stability Analysis ◽  
Boundary Control ◽  
Lyapunov Stability ◽  
Timoshenko Beam ◽  
Control Method ◽  
Beam Theory ◽  
Stability Theorem ◽  
Lyapunov Stability Theorem ◽  
Stabilization Problem ◽  
Boundary Control Method

In this article, the stabilization problem of two flexible one-link and two-link manipulators is solved using boundary control method. To account for the flexibility of links, Timoshenko beam theory is adopted and using Lyapunov stability theorem, forces and torques necessary to be applied at the joints of the manipulators are calculated. Finally the problem of trajectory tracking for this robot is briefly discussed.

Application of Synchronization Control Method to Zagzag System

2012 ◽  
Vol 241-244 ◽  
pp. 1067-1070
Author(s):  
Yin Li ◽  
Chun Long Zheng
Keyword(s):  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Control Method ◽  
Stability Theorem ◽  
Synchronization Control ◽  
Lyapunov Stability Theorem ◽  
Synchronization Scheme

In this paper, synchronization control method of Zagzag system is discussed both theoretically and numerically. Based on the Lyapunov stability theorem and the chaotic methods, synchronization control is given and illustrated with Zagzag system as example. Numerical simulations are presented to demonstrate the effectiveness of the proposed synchronization scheme.

Discontinuous Control and Stability Analysis of Step-Down DC-DC Voltage Converters

2020 ◽  
Vol 38 (3A) ◽  
pp. 446-456
Author(s):  
Bashar F. Midhat
Keyword(s):  
Stability Analysis ◽  
Lyapunov Stability ◽  
Control Method ◽  
Power Electronic ◽  
Electronic Circuits ◽  
Dc Voltage ◽  
Power Electronic Circuits ◽  
Lyapunov Stability Criterion ◽  
Control Step ◽  
Step Down

Step down DC-DC converters are power electronic circuits, which mainly used to convert voltage from a level to a lower level. In this paper, a discontinuous controller is proposed as a control method in order to control Step-Down DC-DC converters. A Lyapunov stability criterion is used to mathematically prove the ability of the proposed controller to give the desired voltage. Simulationsl1 are performedl1 in MATLABl1 software. The simulationl1 resultsl1 are presentedl1 for changesl1 in referencel1 voltagel1 and inputl1 voltagel1 as well as stepl1 loadl1 variations. The resultsl1 showl1 the goodl1 performancel1 of the proposedl1 discontinuousl1 controller.

ANTI-SYNCHRONIZATION OF A CLASS OF COUPLED CHAOTIC SYSTEMS VIA LINEAR FEEDBACK CONTROL

2006 ◽  
Vol 16 (04) ◽  
pp. 1041-1047 ◽  
Author(s):  
CHUANDONG LI ◽  
XIAOFENG LIAO
Keyword(s):  
Lyapunov Stability ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Stability Theorem ◽  
Linear Feedback ◽  
Generalized Synchronization ◽  
Lyapunov Stability Theorem ◽  
Linear Feedback Control ◽  
Relevant Variables ◽  
Special Case

As a special case of generalized synchronization, chaos anti-synchronization can be characterized by the vanishing of the sum of relevant variables. In this paper, based on Lyapunov stability theorem for ordinary differential equations, several sufficient conditions for guaranteeing the existence of anti-synchronization in a class of coupled identical chaotic systems via linear feedback or adaptive linear feedback methods are derived. Chua's circuit is presented as an example to demonstrate the effectiveness of the proposed approach by computer simulations.

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