类Kuramoto-Sivashinsky方程的输出反馈边界控制

Boundary Control of the Output Feedback of the Kuramoto-Sivashinsky-Like Equation

考虑类Kuramoto-Sivashinsky的边界控制及镇定.结合降阶法和后推法设计控制器和观测器.最后证明了闭环系统的指数稳定性.

Stabilization of boundary control for a fourth-order parabolic partial differential equation is con- sidered. A controller and an observer are designed with the backstepping method to achieve exponential stabilization of the dosed-loop system.