Exponential stability of boundary controlled port Hamiltonian systems with dynamic feedback
Exponential stability of boundary controlled port Hamiltonian systems with dynamic feedback
复制标题
动态反馈边界控制端口哈密顿系统的指数稳定性
DOI：
--
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Y. L. Gorrec
中科院分区：
文献类型：
--
作者：
Héctor Ramírez;H. Zwart;Y. L. Gorrec
本文表明，输入严格无源线性有限维端口哈密尔顿控制器以指数方式稳定一大类边界控制系统。这是因为有限维控制器耗散了流经无限维系统边界的能量。控制器的假设是它是严格无源输入并且是指数稳定的。结果在边界控制 DNA 操作过程的模型上进行了说明。
In this paper it is shown that an input strictly passive linear finite dimensional port-Hamiltonian controller exponentially stabilizes a large class of boundary control systems. This follows since the finite dimensional controller dissipates the energy flowing through the boundaries of the infinite dimensional system. The assumptions on the controller is that it is input strictly passive and that it is exponentially stable. The result is illustrated on the model of a boundary controlled DNA-manipulation process.