中文摘要：

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.

英文摘要：

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.