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Stability analysis of LPV systems under aperiodic sampled-data dynamic output feedback control 1

机译:非周期性采样数据下LPV系统的稳定性分析控制 1

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This paper addresses the problem of asymptotic stability assessment of LPV systems under aperiodic sampled-data dynamic output feedback control. Based on a looped-functional approach to deal with the aperiodic sampling effects, the continuous and discrete-time behaviors of the plant and controller, respectively, are taken into account. For a given discrete-time stabilizing controller, the obtained LMI conditions can be used to directly certify the stability of the closed-loop system considering the sampling interval in a given range. Moreover, they can be incorporated into an optimization problem to obtain the maximal bounds on the sampling interval for which stability of the closed-loop system is guaranteed. A numerical example with the application of the proposed method is shown.
机译:本文解决了非周期性采样数据动态输出反馈控制下LPV系统的渐近稳定性评估问题。 基于处理非周期性采样效果的环状功能方法,分别考虑了工厂和控制器的连续和离散时间行为。 对于给定的离散时间稳定控制器,所获得的LMI条件可用于直接认证闭环系统的稳定性,考虑到给定范围内的采样间隔。 此外,它们可以被结合到优化问题中,以获得采样间隔上的最大界限,保证闭环系统的稳定性。 示出了具有所提出的方法的应用的数值示例。

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