Convex lifted conditions for robust l2-stability analysis and l2-stabilization of linear discrete-time switched systems with minimum dwell-time constraint
Convex lifted conditions for robust l2-stability analysis and l2-stabilization of linear discrete-time switched systems with minimum dwell-time constraint
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DOI：
10.1016/j.automatica.2013.12.037
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发表时间：
2014-03
期刊：
影响因子：
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通讯作者：
Corentin Briat
中科院分区：
文献类型：
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作者：
Corentin Briat
利用一种新的线性矩阵不等式（LMI）条件，研究了离散切换系统在最小驻留时间下的稳定性。这些条件在系统的矩阵中是凸的，并且被证明等价于Geromel和Colaneri（2006 b）提出的非凸条件。的凸化的条件是由一个提升过程，引入了一个中等数量的额外的决策变量。利用条件的凸性，可以将结果推广到不确定系统、控制器设计和增益计算，而不需要引入额外的保守性。几个例子来说明该方法的有效性。
Stability analysis of discrete-time switched systems under minimum dwell-time is studied using a new type of LMI conditions. These conditions are convex in the matrices of the system and shown to be equivalent to the nonconvex conditions proposed in Geromel and Colaneri (2006b). The convexification of the conditions is performed by a lifting process which introduces a moderate number of additional decision variables. The convexity of the conditions can be exploited to extend the results to uncertain systems, control design and ℓ 2-gain computation without introducing additional conservatism. Several examples are presented to show the effectiveness of the approach.