Control co-design for discrete-time switched linear systems

Control co-design for discrete-time switched linear systems
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DOI:
10.1016/j.automatica.2017.04.043
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发表时间:
2017-08
期刊:
Autom.
影响因子:
--
通讯作者:
M. Fiacchini;S. Tarbouriech
M. Fiacchini;S. Tarbouriech
中科院分区:
其他
文献类型:
--
作者:
M. Fiacchini;S. Tarbouriech

文献摘要

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研究了离散切换线性系统的状态反馈控制策略和切换控制策略的联合设计问题。给出了周期可镇定系统可镇定的充要条件。这些条件以线性矩阵不等式(LMI)问题的形式存在,该问题的解提供了使系统稳定的切换律和一族状态反馈增益以及指数下降率的界。通过与文献结果的比较,说明了该方法的有效性。
The paper deals with the co-design of a control policy, composed by both the state feedback and the switching control law, for discrete-time switched linear systems. Constructive conditions are given that are necessary and sufficient for the stabilizability of systems which are periodic stabilizable. The conditions are in form of a Linear Matrix Inequality (LMI) problem whose solution provides the switching law and a family of state feedback gains stabilizing the system as well as a bound on the exponential decreasing rate. The effectiveness of the proposed technique is illustrated by comparison with results from the literature.