【摘要】 研究了基于边界输出反馈非线性波方程的自适应控制稳定性问题.利用可测的终端速度,获得了高增益自适应控制器,使用加辽金方法获得闭环系统解的存在性与唯一性,同时,证明闭环系统是指数稳定的.更多还原

【Abstract】 This paper studies adaptive control stability for a nonlinear wave equation under boundary output feedback.A gain adaptive controller is designed in terms of measured end velocity.The existence and uniqueness of the classical solution of the closed-loop system is obtained by using the Galerkin approximation scheme.Meanwhile,the exponential stability of the closed-loop system is obtained.更多还原