Asymptotic Stability Criterion for a Class of Switched Uncertain Descriptor Systems with Time-delay
-
摘要: 研究了一类带有时滞的切换不确定广义系统的鲁棒渐近稳定问题. 利用Lyapunov稳定性定理和线性矩阵不等式(Linear matrix inequality, LMI)工具, 采用多Lyapunov函数技术, 在设定的切换律下, 得到切换不确定广义时滞系统鲁棒渐近稳定的时滞相关充分条件. 进一步, 建立了一个具有线性矩阵不等式约束的凸优化问题, 利用Matlab软件中的LMI工具箱求解, 得到保证切换广义系统鲁棒渐近稳定的最大可允许时滞上界. 最后示例表明了该方法的有效性.Abstract: The problem of robustly asymptotic stability for a class of switched uncertain descriptor systems with time-delay is considered. By means of Lyapunov function and linear matrix inequality (LMI) tools and based on multiple Lyapunov function techniques, a delay-dependent sufficient condition is deduced such that the solution of the switched descriptor system with time-delay is robustly asymptotic stable for all admissible uncertainties under an appropriate switching law. Furthermore, a convex optimization problem with LMIs constraints is formulated such that the maximum upper bound on the admissible delay can be determined by using the LMI toolbox in Matlab. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method.
点击查看大图
计量
- 文章访问数: 2102
- HTML全文浏览量: 51
- PDF下载量: 1310
- 被引次数: 0