Reduced Order Controller Design for Robust Output Regulation
Reduced Order Controller Design for Robust Output Regulation
复制标题
用于稳健输出调节的降阶控制器设计
DOI:
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发表时间:
2020
影响因子:
6.8
通讯作者:
Duy Phan
中科院分区:
文献类型:
--
作者:
L. Paunonen;Duy Phan
We study robust output regulation for parabolic partial differential equations (PDEs) and other infinite-dimensional linear systems with analytic semigroups. As our main results, we show that robust output tracking and disturbance rejection for our class of systems can be achieved using a finite-dimensional controller and present algorithms for construction of two different internal model based robust controllers. The controller parameters are chosen based on a Galerkin approximation of the original PDE system and employ balanced truncation to reduce the orders of the controllers. In the second part of the paper, we design controllers for robust output tracking and disturbance rejection for a one-dimensional (1D) reaction–diffusion equation with boundary disturbances, a 2D diffusion–convection equation, and a 1D beam equation with Kelvin–Voigt damping.