Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time
Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time
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DOI：
10.1109/tcsi.2010.2092151
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发表时间：
2011-05
期刊：
影响因子：
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通讯作者：
Lixian Zhang;Naigang Cui;Ming Liu;Ye Zhao
中科院分区：
文献类型：
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作者：
Lixian Zhang;Naigang Cui;Ming Liu;Ye Zhao
开关动力系统广泛存在于各种功率变换器、混沌发生器等实际电子电路中。本文研究了一类具有平均驻留时间开关的开关动力系统的滤波器设计问题。模式相关的全阶滤波器的设计考虑到一个更实际的现象，异步切换考虑，其中“异步”意味着要设计的滤波器的切换有一个滞后于系统模式的切换。本文首先给出了系统稳定性和l2-增益分析的新结果，其中子系统运行期间的类李雅普诺夫函数允许增加。根据所提出的类李雅普诺夫函数，可以设计期望的模式相关滤波器，其中，在应用匹配滤波器之前，允许在异步切换的间隔中执行不匹配滤波器。在H∞意义下，给出了线性系统的异步滤波问题，得到了容许异步滤波器存在的条件.提供了两个例子来显示开发的结果的潜力。
Switched dynamical systems can be found in many practical electronic circuits, such as various kinds of power converters, chaos generators, etc. This paper is concerned with the filter design problem for a class of switched system with average dwell time switching. Mode-dependent full-order filters are designed taking a more practical phenomenon, the asynchronous switching into account, where “asynchronous” means that the switching of the filters to be designed has a lag to the switching of the system modes. New results on the stability and l2-gain analyses for the systems are first given where the Lyapunov-like functions during the running time of subsystems are allowed to increase. In light of the proposed Lyapunov-like functions, the desired mode-dependent filters can be designed in that the unmatched filters are allowed to perform in the interval of the asynchronous switching before the matched ones are applied. In H∞ sense, the problem of asynchronous filtering for the underlying systems in linear cases is formulated and the conditions of the existence of admissible asynchronous filters are obtained. Two examples are provided to show the potential of the developed results.