Stability and stabilization of aperiodic sampled-data control systems: An approach using robust linear matrix inequalities
Stability and stabilization of aperiodic sampled-data control systems: An approach using robust linear matrix inequalities
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DOI：
10.1109/cdc.2009.5399812
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发表时间：
2009-12
期刊：
影响因子：
--
通讯作者：
Y. Oishi;H. Fujioka
中科院分区：
文献类型：
--
作者：
Y. Oishi;H. Fujioka
考虑了非周期采样数据控制系统的稳定性分析，并将其应用于网络和嵌入式控制。对于所有可能的采样区间，稳定性条件用线性矩阵不等式来描述。虽然这个条件在数值上难以处理，但利用中值定理可以构造一个易于处理的充分条件。特别注意了非保守稳定性分析的充分条件的严密性。讨论了一种减少保守性和泛化到稳定的区域划分技术。实例表明了该方法的有效性。
Stability analysis of an aperiodic sampled-data control system is considered for application to network and embedded control. The stability condition is described in a linear matrix inequality to be satisfied for all possible sampling intervals. Although this condition is numerically intractable, a tractable sufficient condition can be constructed with the mean value theorem. Special attention is paid to tightness of the sufficient condition for less conservative stability analysis. A region-dividing technique for reduction of conservatism and generalization to stabilization are also discussed. Examples show the efficacy of the approach.