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首页> 外文期刊>International Journal of Innovative Computing Information and Control >DELAY-DEPENDENT STABILITY CRITERION AND H_∞ STATE-FEEDBACK CONTROL FOR UNCERTAIN DISCRETE-TIME SWITCHED SYSTEMS WITH TIME-VARYING DELAYS
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DELAY-DEPENDENT STABILITY CRITERION AND H_∞ STATE-FEEDBACK CONTROL FOR UNCERTAIN DISCRETE-TIME SWITCHED SYSTEMS WITH TIME-VARYING DELAYS

机译：时滞不确定的离散离散切换系统的时滞相关稳定性判据和H_∞状态反馈控制

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摘要

The robust stability and H_∞ state-feedback control problems for uncertain discrete-time switched systems with time-varying delays are discussed in this paper. The uncertainty is time-varying but norm-bounded. By the switched Lyapunov-Krasovskii functional approach, delay-dependent linear matrix inequality conditions for the delay-varying discrete-time uncertain switched system are developed to guarantee that the switched system is asymptotically stable with an l_2 gain smaller than a prescribed scalar under arbitrary switching; Switched state-feedback controller is designed to render the corresponding switched closed-loop system asymptotically stable with an l_2 gain measure. Linear matrix inequality approach is employed to the state-feedback controller design. Finally, two numerical examples are given to illustrate the validity of the proposed techniques.
机译：讨论了具有时变时滞的不确定离散时间切换系统的鲁棒稳定性和H_∞状态反馈控制问题。不确定性会随时间变化，但会受到规范的限制。通过切换的Lyapunov-Krasovskii函数方法，开发了时变时滞离散不确定切换系统的时滞相关线性矩阵不等式条件，以确保切换系统在任意切换下具有小于规定标量的l_2增益的渐近稳定。 ;开关状态反馈控制器设计用于以l_2增益量度使相应的开关闭环系统渐近稳定。状态反馈控制器设计采用线性矩阵不等式方法。最后，给出了两个数值例子来说明所提出技术的有效性。

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