Title :
Stability analysis of a pendulum based system using contraction analysis
Author :
Gandhi, Ravi ; Adhyaru, Dipak
Abstract :
This paper introduces a new method for deriving the virtual linearized model of a given non-linear system on the basis of convergence. Once the virtual model for a given system is obtained, it is very simple to analyze the behavior of given non-linear system. To represent an idea regarding the concept of contraction analysis an example of simple pendulum system has been taken and the virtual linearized model has been derived with the help of the Contraction analysis.
Keywords :
convergence; nonlinear systems; pendulums; stability; contraction analysis; convergence; nonlinear system; pendulum based system; stability analysis; virtual linearized model; Analytical models; Convergence; Equations; Jacobian matrices; Mathematical model; Stability analysis; Trajectory; Contraction Analysis; Jacobian-Matrix; Non-linear Pendulum; Virtual Model;
Conference_Titel :
Engineering (NUiCONE), 2011 Nirma University International Conference on
Conference_Location :
Ahmedabad, Gujarat
Print_ISBN :
978-1-4577-2169-4
DOI :
10.1109/NUiConE.2011.6153309
