一类最小相位随机非线性系统的输出反馈控制及扰动抑制  

Output feedback control and disturbance attenuation for minimum-phase stochastic nonlinear systems

作　　者：夏媛[1] 季海波[1] 

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027

出　　处：《中国科学技术大学学报》2011年第8期701-707,共7页JUSTC

基　　金：国家自然科学基金(60674029)资助

摘　　要：对于一类具有模型不确定性的最小相位随机非线性系统,研究输出反馈控制使闭环系统状态响应对噪声具有扰动抑制作用,并且无噪声时闭环系统是随机渐近稳定的.首先假设模型系统中的一个子系统随机输入状态稳定,并且系统的漂移项与扩散项分别依赖于该子系统的状态和输出信号,在此假设前提下设计一个降阶观测器,得到一个等价系统,再由递推的方法得出等价系统的输出反馈控制律,使得最终得到的闭环系统对噪声方差是输入状态稳定的.A class of minimum-phase stochastic nonlinear systems with model uncertainty was dealt with.In order to obtain an output feedback control which can make the response of a closed-loop system attenuate noise,and when noise does not exist,the closed-loop system will be stochastically asymptotically stable.First,an assumption was made,in which the a subsystem in the model system was stochastic input state stable,and the drift and diffusion components in the system both depended on the state of the subsystem and output.Then,a reduced-order observer was designed to get a new equivalent system.Next,by means of back-stepping the output feedback control for the new equivalent system was obtained.Finally,the closed-loop system globally stochastic asymptotically stable in probability within the absence of disturbance,and disturbance attenuation was made as well.

关 键 词：随机非线性系统 输出反馈 降维观测器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]