Fradkov Alexander L, Evans Robin J, Andrievsky Boris R
Institute for Problem of Mechanical Engineering, Russian Academy of Sciences, 61, Bolshoy, VO 199178 St Petersburg, Russia.
Philos Trans A Math Phys Eng Sci. 2006 Sep 15;364(1846):2279-307. doi: 10.1098/rsta.2006.1826.
A survey of the field related to control of chaotic systems is presented. Several major branches of research that are discussed are feed-forward ('non-feedback') control (based on periodic excitation of the system), the 'Ott-Grebogi-Yorke method' (based on the linearization of the Poincaré map), the 'Pyragas method' (based on a time-delayed feedback), traditional for control-engineering methods including linear, nonlinear and adaptive control. Other areas of research such as control of distributed (spatio-temporal and delayed) systems, chaotic mixing are outlined. Applications to control of chaotic mechanical systems are discussed.
本文对混沌系统控制领域进行了综述。所讨论的几个主要研究分支包括前馈（“非反馈”）控制（基于系统的周期激励）、“奥特-格雷博吉-约克方法”（基于庞加莱映射的线性化）、“皮拉加斯方法”（基于时延反馈）以及控制工程中的传统方法，包括线性、非线性和自适应控制。还概述了其他研究领域，如分布式（时空和延迟）系统的控制、混沌混合。并讨论了混沌机械系统控制的应用。
