Stability of Boundary Feedback Control Based on Weighted Lyapunov Function in Networks of Open Channels
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摘要: 以描述明渠非定常流的一维模型——Saint-Venant方程为基础, 对由两段渠道串联构成的梯级河道网络, 以加权熵函数构成其Lyaponov函数, 基于该Lyapunov函数证明了在一定的边界反馈控制作用下, 闭环系统在平衡点的一个邻域内是渐近稳定的.
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关键词:
- Saint-Venant方程 /
- 熵 /
- Lyapunov函数 /
- 渐近稳定性 /
- 边界反馈控制
Abstract: A Lyapunov function is constructed based on the weighted sum of entropies for the case of two open channels in cascade, which is described by the Saint-Venant equations. A class of boundary feedback controllers is presented to guarantee the local closed-loop asymptotic stability in a neighborhood of the equilibrium point by means of the Lyapunov design approach.-
Key words:
- Saint-Venant equations /
- entropy /
- Lyapunov function /
- asymptotic stability /
- boundary feedback control
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