Finite-time control of linear systems subject to parametric uncertainties and disturbances
Finite-time control of linear systems subject to parametric uncertainties and disturbances
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DOI：
10.1016/s0005-1098(01)00087-5
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发表时间：
2001-09-01
期刊：
影响因子：
6.4
通讯作者：
Dorato, P
中科院分区：
文献类型：
--
作者：
Amato, F;Ariola, M;Dorato, P
本文考虑具有时变参数不确定性和外部常量扰动的线性系统的有限时间控制问题。给出了系统通过状态反馈实现鲁棒有限时间镇定的充分条件。它既适用于具有非零初始条件的问题，也适用于含有未知常量扰动的问题。然后将这个条件归结为一个涉及线性矩阵不等式(LMI)的可行性问题。给出了一个详细的例子来说明所提出的方法。(C)2001爱思唯尔科学有限公司。保留所有权利。
In this paper we consider finite-time control problems for linear systems subject to time-varying parametric uncertainties and to exogenous constant disturbances. The main result provided is a sufficient condition for robust finite-time stabilization via state feedback. It can be applied to problems with both non-zero initial conditions and unknown constant disturbances. This condition is then reduced to a feasibility problem involving linear matrix inequalities (LMIs). A detailed example is presented to illustrate the proposed methodology. (C) 2001 Elsevier Science Ltd. All rights reserved.