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Digital redesign of analogue dynamic output-feedback controllers for polytopic systems

机译：多拓系统模拟动态输出反馈控制器的数字重新设计

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摘要

This paper is devoted to the problem known as digital redesign, i.e. given a previously designed stabilising continuous-time controller for a continuous-time plant, synthesise a digital controller that provides the hybrid closed-loop system with output trajectories as similar as possible to the continuous-time ones. To accomplish this goal, two distinct optimisation criteria are investigated: (i) the Euclidean norm of the difference between the dynamic matrix of the discretised closed-loop continuous-time system and the dynamic matrix that represents the discretised open-loop system fed back by the designed digital controller; (ii) the norm of the transfer function from the noise input to the error between the outputs of the two systems. As main novelties with respect to the existing results on digital redesign, the proposed conditions can deal with polytopic systems, and can synthesise reduced-order dynamic output-feedback digital controllers as well.
机译：本文致力于称为数字重新设计的问题，即给定先前为连续时间工厂设计的稳定连续时间控制器，合成数字控制器，该数字控制器提供具有输出轨迹的混合闭环系统，如可能类似的输出轨迹 连续时间。 为了完成这一目标，研究了两个不同的优化标准：（i）离散的闭环连续时间系统的动态矩阵与表示离散的开环系统的动态矩阵之间的动态矩阵之间的欧几里德常见 设计的数字控制器; （ii）从两个系统输出之间的噪声输入到误差的转移功能的规范。 作为关于现有的数字重新设计结果的主要新科技，所提出的条件可以处理多种式系统，也可以合成减少的动态输出 - 反馈数字控制器。

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