Finite-time stabilization via dynamic output feedback
Finite-time stabilization via dynamic output feedback
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DOI：
10.1016/j.automatica.2005.09.007
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发表时间：
2006-02-01
期刊：
影响因子：
6.4
通讯作者：
Cosentino, C
中科院分区：
文献类型：
--
作者：
Amato, F;Ariola, M;Cosentino, C
本文研究了连续时间线性系统的有限时间镇定问题，这个问题以前已经在状态反馈的情况下得到了解决。在这项工作中的假设，状态是可用于反馈和输出反馈问题进行了研究。给出了使闭环系统有限时间稳定的动态输出反馈控制器设计的充分条件。这样的充分条件是在一个LMI优化问题，这给了机会，适合的有限时间控制问题的一般框架的LMI方法的多目标综合。在这方面的一个例子说明了一个控制器的设计，保证，在同一时间，有限时间的稳定性连同一些极点配置的要求。(c)2005爱思唯尔有限公司保留所有权利。
In this paper the finite-time stabilization of continuous-time linear systems is considered; this problem has been previously solved in the state feedback case. In this work the assumption that the state is available for feedback is removed and the output feedback problem is investigated. The main result provided is a sufficient condition for the design of a dynamic output feedback controller which makes the closed loop system finite-time stable. Such sufficient condition is given in terms of an LMI optimization problem; this gives the opportunity of fitting the finite-time control problem in the general framework of the LMI approach to the multi-objective synthesis. In this context an example illustrates the design of a controller which guarantees, at the same time, finite-time stability together with some pole placement requirements. (c) 2005 Elsevier Ltd. All rights reserved.