控制理论(社会学)
反推
数学
观察员(物理)
边界(拓扑)
半群
国家(计算机科学)
控制器(灌溉)
数学证明
李雅普诺夫函数
全状态反馈
输出反馈
应用数学
控制(管理)
数学分析
计算机科学
自适应控制
非线性系统
生物
人工智能
物理
几何学
量子力学
算法
农学
作者
Chunwan Lv,Chufen Wu,Ze‐Hao Wu,Da‐Yan Liu
标识
DOI:10.1080/00207721.2023.2230464
摘要
In this paper, the boundary stabilisation of a coupled time fractional hyperbolic equation system is investigated by both state and output feedback. A target system is first introduced, which, by the semigroup method and the Lyapunov one, is proved to admit a unique solution and is Mittag–Leffler stable. A boundary state feedback controller and state observer are designed via the backstepping technique, with explicit formulae for the gain functions. An observer-based output feedback stabilising controller is then proposed for the controlled system. Some rigorous theoretical proofs are given to demonstrate that the resulting closed-loop system under the state and output feedback controllers has a unique solution and is Mittag–Leffler stable. Some numerical simulations are performed to validate the effectiveness of the proposed control approach.
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