Input/output-to-state stability of switched nonlinear systems with an improved average dwell time approach
Input/output-to-state stability of switched nonlinear systems with an improved average dwell time approach
复制标题
采用改进的平均停留时间方法的开关非线性系统的输入/输出状态稳定性
DOI：
10.1007/s12555-014-0292-0
复制
发表时间：
2016
影响因子：
3.2
通讯作者：
Ma Shu-Ping
中科院分区：
文献类型：
--
作者：
Liu Li-Xia;Guo Rong-Wei;Ma Shu-Ping
本文研究了在平均停留时间（ADT）切换信号下切换系统的输入/输出稳态（IOSS）特性：1)所有子系统都是IOSS， 2)部分子系统是IOSS，并提出了一些新的稳定性分析结果。首先，我们用一种改进的ADT方法，给出了子系统为IOSS的切换非线性系统的新的IOSS结果。其次，将改进的ADT方法推广到部分子系统稳定的非强制标称切换非线性系统中，建立了新的稳定性分析结果。部分子系统为IOSS的切换非线性系统的IOSS性质，我们证明了如果平均停留时间足够大，且其中一个非IOSS系统活跃的时间比例不太大，则可以建立切换系统的IOSS性质。需要指出的是，本文的主要结果与已有的结果相比有一定的优势。最后，通过仿真算例验证了所得结果的正确性和有效性。
This paper investigates the input/output-to-state stable (IOSS) property of the switched systems under average dwell time (ADT) switching signals in two cases: 1) all of the subsystems are IOSS, 2) parts of the subsystems are IOSS, and proposes a number of new results on stability analysis. First, we present a new IOSS result for the switched nonlinear systems whose subsystems are IOSS with an improved ADT method. Second, extending the improved ADT method to unforced nominal switched nonlinear systems in which parts of subsystems are stable, we establish a new stability analysis result. IOSS property of switched nonlinear systems in which parts of subsystems are IOSS, we show that if the average dwell time is large enough and if the fraction of time where one of the non-IOSS system is active is not too big, then IOSS property of the switched system can be established. It should be pointed that the main results obtained in this paper have some advantages over the exiting ones. Finally, two illustrative examples with simulation verify the correctness and validity of our results.