摘要
This paper deals with the design of boundary control to stabilize one-dimensional Schrödinger equation with general external disturbance. The backstepping method is first applied to transform the anti-stability from the free end to the control end. A variable structure feedback stabilizing controller is then designed to achieve arbitrary assigned decay rate. The Galerkin approximation scheme is used to show the existence of the solution to the closed-loop system. The exponential stability of the closed-loop system is obtained by the Lyapunov functional method. A numerical example demonstrates the efficiency of the proposed control scheme.
源语言 | 英语 |
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页(从-至) | 100033 |
页数 | 1 |
期刊 | IFAC Journal of Systems and Control |
卷 | 7 |
DOI | |
出版状态 | 已出版 - 30 3月 2019 |
已对外发布 | 是 |