摘要
引入了分数阶微积分理论及其在控制和混沌系统研究中的应用.基于此种理论,针对参数未知的Lorenz系统利用backstepping的方法,设计出了作用在第三个状态上的分数阶控制器,此种控制算法能够避免奇异点出现并且使得整个闭环系统稳定.它还可以通过分数阶阶次的选择得到不同的控制效果来满足控制工程中的各种需要.仿真试验验证了此算法的有效性.
Fractional calculus theory and its application in control and chaos system research are intruduced. Based on this theory and by using backstepping method, a kind of fractional order controller affecting on the third state is designed for lorenz system with unknown parameters. It is singularity free, and the closed-looped system is stable globally. All kinds of control effect can be obtained to meet various control project needs, The simulation experiment shows the algorithm＇s effectiveness.
出处
《动力学与控制学报》
2006年第2期132-135,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(60374015)~~
