摘要
运用基于估计的模块化设计思想,研究了受方差不确定Wiener噪声干扰的参数严格反馈非线性系统对已知信号的自适应跟踪问题.构造控制Lyapunov函数,设计了具有鲁棒稳定特性的输入状态稳定控制器,确保系统满足控制器-辨识器分离.对不确定方差采用自适应方式处理.根据无源性理论,设计无源辨识器模块,给出了参数自适应律,确保系统误差的有界性,使跟踪误差在概率意义下收敛.
The estimation-base modular design was applied for the adaptive tracking problems for a class of stochastic nonlinear systems in the form of parametric-strict-feedback driven by Wiener noises of unknown covariance. A complete controller-identifier separation was achieved by employing control Lyapunov functions and using the ISS controller with strong parametric robustness properties. For the noise of unknown covariance, the adaptive algorithm is designed. According to the passive theorems, a passive identifier module is designed to guarantee the boundedness of the state error. Therefore, the result that the tracking error converges to a small residual set in probability was obtained.
基金
安徽高校省级自然科学研究重点项目(KJ2010A292)资助
关键词
自适应跟踪
输入-状态稳定
方差不确定
无源辨识器
adaptive tracking
input-to-state stability (ISS)
unknown covariance
passive identifier