Asynchronously switched control of switched linear systems with average dwell time
Asynchronously switched control of switched linear systems with average dwell time
复制标题
具有平均驻留时间的切换线性系统的异步切换控制
DOI：
10.1016/j.automatica.2010.02.021
复制
发表时间：
2010-05-01
期刊：
影响因子：
6.4
通讯作者：
Gao, Huijun
中科院分区：
文献类型：
--
作者：
Zhang, Lixian;Gao, Huijun
研究了一类具有平均停留时间（ADT）的线性切换系统在连续时间和离散时间下的异步切换控制问题。所谓异步切换是指候选控制器与系统模式之间的切换是异步的。通过进一步允许类李雅普诺夫函数在有源子系统运行期间增加，首先导出了具有ADT的切换系统在非线性设置下的扩展稳定性结果。然后，线性情况下的异步切换镇定控制问题得到解决。在给定类Lyapunov函数的增加尺度和减少尺度以及异步切换的最大时延的情况下，得到了允许切换信号的最小ADT以及相应的控制器增益。数值算例表明了所得结果的有效性和潜力。(C)2010爱思唯尔有限公司版权所有。
This paper concerns the asynchronously switched control problem for a class of switched linear systems with average dwell time (ADT) in both continuous-time and discrete-time contexts. The so-called asynchronous switching means that the switchings between the candidate controllers and system modes are asynchronous. By further allowing the Lyapunov-like function to increase during the running time of active subsystems, the extended stability results for switched systems with ADT in nonlinear setting are first derived. Then, the asynchronously switched stabilizing control problem for linear cases is solved. Given the increase scale and the decrease scale of the Lyapunov-like function and the maximal delay of asynchronous switching, the minimal ADT for admissible switching signals and the corresponding controller gains are obtained. A numerical example is given to show the validity and potential of the developed results. (C) 2010 Elsevier Ltd. All rights reserved.