具有不确定噪声的随机非线性系统的鲁棒自适应跟踪

Robust adaptive tracking of stochastic nonlinear systems with uncertain noises

研究了一类随机非线性系统的鲁棒自适应跟踪问题.文中利用随机控制Lyapunov设计方法,对于受方差不确定Wiener噪声干扰的参数严格反馈形式的系统,给出了参数自适应律和控制律,使得跟踪误差在4次均方意义下收敛到一个小范围内.

Robust adaptive tracking problems for a class of stochastic nonlinear systems were investigated. A stochastic Lyapunov design method was applied for systems in the form of parametric-strict-feedback driven by Wiener noises of unknown covariance. A parameter adaptive law and a control law were obtained to ensure that the tracking error could converge to a small residual set around the origin in the sense of mean quartic value.