Control discrete-time switched singular systems with state delays under asynchronous switching
Control discrete-time switched singular systems with state delays under asynchronous switching
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DOI：
10.1080/00207721.2011.652230
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发表时间：
2013-06
影响因子：
4.3
通讯作者：
Jinxing Lin;S. Fei;Zhifeng Gao
中科院分区：
文献类型：
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作者：
Jinxing Lin;S. Fei;Zhifeng Gao
研究了一类具有时变状态延迟的离散切换奇异系统在异步切换下的状态反馈控制问题。这里考虑的异步切换意味着候选控制器的切换时刻滞后于系统模式的切换时刻。引入了不匹配控制率的概念。利用多重Lyapunov函数方法和平均停留时间技术，首先导出了稳定切换律存在的充分条件，以保证闭环系统存在异步切换时的规律性、因果性和指数稳定性。稳定开关律的特征是失配控制率有上界，平均停留时间有下界。然后，利用线性矩阵不等式（LMI）技术，建立了一组模相关状态反馈控制器的可解性条件。最后通过一个算例说明了所提方法的有效性。
This article is concerned with the problem of state feedback control for a class of discrete-time switched singular systems with time-varying state delays under asynchronous switching. The asynchronous switching considered here means that the switching instants of the candidate controllers lag behind those of the system modes. The concept of mismatched control rate is introduced. By using the multiple Lyapunov function approach and the average dwell time technique, a sufficient condition for the existence a stabilising switching law is first derived to guarantee the regularity, causality and exponential stability of the closed-loop system in the presence of asynchronous switching. The stabilising switching law is characterised by a upper bound on the mismatched control rate and a lower bound on the average dwell time. Then, the corresponding solvability condition for a set of mode-dependent state feedback controllers is established by using the linear matrix inequality (LMI) technique. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.