摘要
考虑外激励的振幅和频率未知的混沌系统.把系统未知参数扩张成系统的新的状态量,构造新的驱动系统.用参数自适应控制方法构造一个响应系统,使之与驱动系统的结构相同.基于级联系统的稳定性理论,通过两个步骤来设计控制器和参数自适应律,使得驱动—响应系统能够达到完全同步.当驱动—响应系统达到完全同步时,就可以识别出系统的未知参数振幅和频率.最后以受迫Duffing-VanderPol系统和扩音器系统为例验证了本文提出的方案是有效的.
For a chaotic system with unknown amplitude and frequency in external exciting force,the unknown parameters were expanded to be the new state vector and a new drive system was constructed. By a parametric adaptive control,a response system with the same structure as the drive system was constructed. Based on the stability theory in the cascade system,controllers and the parametric adaptive law were designed by two steps, which make the drive-response systems achieve complete synchronization. Then the unknown amplitude and frequency of the drive system can be identified. The forced Duffing-Van der Pol oscillator and loudspeaker system were taken as examples to illustrate the effectiveness of the proposed method.
出处
《动力学与控制学报》
2012年第1期36-42,共7页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(61074012)
福建省资助省属高校专项(JK2009020)
福建省教育厅科技项目(JA11172)~~
关键词
参数未知系统
自适应控制
参数识别
system with unknown parameters
adaptive control
parameters identification
