Stability Analysis of a Class of Switched Nonlinear Systems with an Improved Average Dwell Time Method
Stability Analysis of a Class of Switched Nonlinear Systems with an Improved Average Dwell Time Method
复制标题
改进平均停留时间法一类切换非线性系统的稳定性分析
DOI：
10.1155/2014/214756
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发表时间：
2014-03
影响因子：
--
通讯作者：
郭荣伟
中科院分区：
文献类型：
--
作者：
郭荣伟
本文研究了切换非线性系统在全局渐近稳定（GAS）和全局渐近稳定（GAS）与不稳定子系统共存两种情况下的稳定性，并给出了一些稳定性分析的新结果。首先，通过对原有停留时间方法的扩展，提出了一种改进的平均停留时间（ADT）方法。特别地，对于二次稳定切换系统，给出了一种改进的模相关平均停留时间（MDADT）方法。其次，基于改进的ADT和MDADT方法，得到了一些新的稳定性分析结果。需要指出的是，所得结果与现有结果相比有两个优点；一是改进的ADT方法简化了现有ADT方法的条件，二是得到的ADT（）的下界也比其他方法得到的下界小。最后，通过算例验证了所提方法的正确性和有效性。
This paper investigates the stability of switched nonlinear (SN) systems in two cases: (1) all subsystems are globally asymptotically stable (GAS), and (2) both GAS subsystems and unstable subsystems coexist, and it proposes a number of new results on the stability analysis. Firstly, an improved average dwell time (ADT) method is presented for the stability of such switched system by extending our previous dwell time method. In particular, an improved mode-dependent average dwell time (MDADT) method for the switched systems whose subsystems are quadratically stable (QS) is also obtained. Secondly, based on the improved ADT and MDADT methods, several new results to the stability analysis are obtained. It should be pointed out that the obtained results have two advantages over the existing ones; one is that the improved ADT method simplifies the conditions of the existing ADT method, the other is that the obtained lower bound of ADT () is also smaller than that obtained by other methods. Finally, illustrative examples are given to show the correctness and the effectiveness of the proposed methods.
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影响因子：
6.8
作者：
W. Dayawansa;C. Martin
通讯作者：
W. Dayawansa;C. Martin
影响因子：
6.4
作者：
Zhao, Xudong;Zhang, Lixian;Liu, Ming
通讯作者：
Liu, Ming
影响因子：
2.1
作者：
Lixian Zhang;Changhong Wang;Huijun Gao
通讯作者：
Lixian Zhang;Changhong Wang;Huijun Gao
具有平均驻留时间的切换线性系统的异步切换控制
影响因子：
6.4
作者：
Zhang, Lixian;Gao, Huijun
通讯作者：
Gao, Huijun
DOI：
10.1109/cdc.1999.831330
发表时间：
1999-12
期刊：
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)
影响因子：
--
作者：
J. Hespanha;A. Morse
通讯作者：
J. Hespanha;A. Morse