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稳定的分数维模型参考自适应系统的设计 被引量:5

The design of the stable fractional model reference adaptive control system
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摘要 针对一类参数未知的线性系统,为了设计出一种能提高系统动态性能的控制律,通过构造分数维的Lyapunov函数,设计出了新的模型参考自适应控制系统,进而证明了该闭环系统是稳定的.仿真实验验证了该闭环系统具有调节时间短、超调量小等更好的动态性能. This paper studies a novel adaptive control strategy for a linear system with unknown parameters. To design a control law with perfective dynamic performance, a new model reference adaptive control system has been designed by constructing a fractional-order Lyapunov function, with the stability of the closed-loop system proved. An example's simulation shows that the closed-loop system has the better dynamic performance such as less regulating time and less overshoot than by the traditional method.
出处 《西安电子科技大学学报》 EI CAS CSCD 北大核心 2005年第5期768-771,共4页 Journal of Xidian University
基金 国家自然科学基金资助项目(6034015)
关键词 分数维微积分 稳定性 分数维的控制器 模型参考自适应控制 fractional calculus stability fractional-order controller model reference adaptive control
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