This article is concerned with the exponential stabilization of a class of linear boundary control systems (BCSs) in port-Hamiltonian form through energy shaping. Starting from a first feedback loop that is in charge of modifying the Hamiltonian function of the plant, a second control loop that guarantees exponential convergence to the equilibrium is designed. In this way, a major limitation of standard energy shaping plus damping injection control laws applied to linear port-Hamiltonian BCSs, namely the fact that only asymptotic convergence is assured, has been removed.

中文翻译：

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通过能量整形实现哈密尔顿港边界控制系统的指数稳定


本文关注的是通过能量整形实现端口哈密尔顿形式的一类线性边界控制系统 (BCS) 的指数稳定性。从负责修改对象的哈密顿函数的第一个反馈回路开始，设计了保证指数收敛到平衡的第二个控制回路。这样，应用于线性端口哈密尔顿 BCS 的标准能量整形加阻尼注入控制律的主要限制，即仅保证渐近收敛的事实，已被消除。