基于状态反馈的切换线性系统二次镇定与传递问题

2016 Third International Conference on Mathematics and Computers in Sciences and in Industry (MCSI) Pub Date : 2016-08-01 DOI:10.1109/MCSI.2016.033

N. Otsuka, Shota Sekiguchi

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引用次数: 2

摘要

本文研究了具有恒定输入的连续和离散切换线性系统从任意初始状态依次经过给定目标状态ε-邻域的两个传递问题。首先研究具有恒定输入的连续时间切换线性系统的二次镇定问题。接下来，将研究具有恒定输入的离散时间切换线性系统的相同问题。在此基础上，提出了两个基于状态相关切换的恒定输入切换线性系统的ε-传输问题，并给出了可解性条件。此外，还将给出两个说明性的数值例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quadratic Stabilization and Transit Problems for Switched Linear Systems via State Feedback

In this paper, two transit problems which pass through the ε-neighborhood of some given objective states in turn from an arbitrary initial state will be studied for both continuous-time and discrete-time switched linear systems with constant input. At first the quadratic stabilization problem for continuous-time switched linear systems with constant input will be investigated. Next, the same problem for discrete-time switched linear systems with constant input will be studied. After that two ε-transit problems by using switched linear systems with constant input via state-dependent switching will be formulated, and then solvability conditions will be given. Further, two illustrative numerical examples will be shown.

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2016 Third International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)

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