CONTROL OF THE LORENZ CHAOS BY THE EXACT LINEARIZATION

作     者：陈立群 刘延柱 

作者机构：Department of Engineering Mechanics Shanghai Jiaotong University Shanghai P.R. China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：1998年第19卷第1期

页      面：67-73页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：A simple physical realization of system (2.1) is fluid loop thermosiphon heated form below and cooled form above. In this case  xt is the fluid velocity in the loop  x2 and x3 are the horizontal and vertical temperature difference respectively  P is analogous to the Prandtl number  b is a * Project supported by'the Science Foundation of the National Education Committee for Doctorate Program and the Applied Science Foundation of the Ministry of Metallurgical Industry tDepartment of Engineering Mechanics. Shanghai Jiaotong University  Shanghai 200030  P. R. China 

主　　题：Rayleigh number Lorenz system chaos 

摘      要：Controlling chaos in the Lorenz system with a controllable Rayleigh number is investigated by the state space exact linearization method. Based on proving the exact linearizability, the nonlinear feedback is utilized to design the transformation changing the original chaotic system into a linear controllable one so that the control is realized. Numerical examples of control are presented.