Paper Title:
Control Lorenz System with Vibration Estimation with Averaging Method
  Abstract

The vibrational control theory stems from the well-known of stabilization of the upper unstable equilibrium position of the inverted pendulum having suspension point vibration along the vertical line with amplitude as small as desired and a frequency reason high. Chaotic phenomena have been found in many nonlinear systems including continuous time and discrete time. The chaotic systems are characterized by their extreme sensitivity to initial conditions, nonperiodic and boundary. The trajectories start even from close initial states will diverge from each other at an exponential rate as time goes. The vibrational control method was applied to Lorenz system. The effect of the control can be estimated with the APAZ method. It was showed that vibrational control brought the controlled Lorenz system to stable equilibrium with appropriate parameters. Numerical simulation demonstrated validity of the proposed method.

  Info
Periodical
Edited by
Long Chen, Yongkang Zhang, Aixing Feng, Zhenying Xu, Boquan Li and Han Shen
Pages
36-39
DOI
10.4028/www.scientific.net/AMM.43.36
Citation
C. Zhou, "Control Lorenz System with Vibration Estimation with Averaging Method", Applied Mechanics and Materials, Vol. 43, pp. 36-39, 2011
Online since
December 2010
Authors
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yan Li Yang, Zhen Xing Zhang
Chapter 3: Precision Test & Control
Abstract:To solve the chattering problem caused by the general sliding mode control in the active magnetic bearing control, a boundary layer approach...
213
Authors: Guo Qiang Liang, Jun Wei Lei, Xian Jun Shi
Chapter 9: Vibration and Control
Abstract:Considering the pitch channel simplified model of supersonic missile system, a integral type of sliding surface is constructed with the error...
1223
Authors: Si Ping Zhou, Jing Shi, Tao Jin, Qing He, Li Ren, Yue Jin Tang
Chapter 5: Energy Storage Technologies and Storage Battery
Abstract:Current source converter (CSC) can control power transfer between superconducting coil and the AC power system, which is the key component of...
1049
Authors: Xiao Jing Tan, Bin Wu
Chapter 13: Advanced Structural Experimental Techniques and Sensing Techniques
Abstract:Pseudo-dynamic testing using force- mixed control strategy is presented for structures with large stiffness. In this proposed method, the...
1133
Authors: Jian Hua Liang, Xiao Cong Li, Chun Ying Lin, Ming Xiao, Ya Nan Zhao
Chapter 8: Motor and Electrical
Abstract:The permanent magnet synchronous motor take place under certain conditions chaotic phenomenon, according to the differential geometry theory,...
1259