具有模态相关平均驻留时间的离散时间脉冲切换系统的异步控制。
Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time.
机构信息
School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
Manufacturing Engineering & Engineering Management, City University of Hong Kong, Hong Kong.
出版信息
ISA Trans. 2014 Mar;53(2):367-72. doi: 10.1016/j.isatra.2013.11.019. Epub 2013 Dec 22.
This paper mainly studies the asynchronous control problem for a class of discrete-time impulsive switched systems, where "asynchronous" means the switching of the controllers has a lag to the switching of system modes. By using multiple Lyapunov functions (MLFs), the much looser asymptotic stability result of closed-loop systems is derived with a mode-dependent average dwell time (MDADT) technique. Based on the stability result obtained, the problem of asynchronous control is solved under a proper switching law. Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained stability results.
本文主要研究一类离散时间脉冲切换系统的异步控制问题，其中“异步”是指控制器的切换相对于系统模式的切换存在滞后。通过使用多个李雅普诺夫函数（MLF）和模式相关平均驻留时间（MDADT）技术，得到了闭环系统更宽松的渐近稳定性结果。基于所得到的稳定性结果，在适当的切换律下解决了异步控制问题。此外，稳定性和镇定结果以矩阵不等式的形式给出，这些不等式在数值上是可行的。最后，通过一个实例说明了所得到的稳定性结果的有效性。
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