Exponential stability and spectral analysis of the pendulum system under position and delayed position feedbacks

Autor:	Dong-Xia Zhao, Xiao-Wen Lv, Jun-Min Wang
Rok vydání:	2011
Předmět:	Asymptotic analysis Double pendulum Exponential stability Control and Systems Engineering Position (vector) Control theory Pendulum Dynamical system Complex plane Computer Science Applications Mathematics Inverted pendulum
Zdroj:	International Journal of Control. 84:904-915
ISSN:	1366-5820 0020-7179
DOI:	10.1080/00207179.2011.582886
Popis:	This article addresses the exponential stability and spectral analysis of the linearised pendulum system with both position and delayed position (PDP for short) feedbacks. The semigroup approach is adopted in investigation. The asymptotic spectral expression of the system is presented. It is shown that the spectrum of the system is located in the left half complex plane and its real part goes to −∞ at the high frequency end when the feedback gains and the delay satisfy some additional conditions. Therefore, exponential stability of the system follows from the spectrum determined growth property. Finally, some numerical simulations of a planar pendulum are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a02e4ba9c4049e499a11569de363108b https://doi.org/10.1080/00207179.2011.582886 Zobrazit plný text záznamu