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Memory Resilient Gain-scheduled State-Feedback Control of Uncertain LTI/LPV Systems with Time-Varying Delays

机译:不确定系统的记忆弹性增益调度状态反馈控制   具有时变时滞的LTI / LpV系统

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摘要

The stabilization of uncertain LTI/LPV time delay systems with time varyingdelays by state-feedback controllers is addressed. At the difference of otherworks in the literature, the proposed approach allows for the synthesis ofresilient controllers with respect to uncertainties on the implemented delay.It is emphasized that such controllers unify memoryless and exact-memorycontrollers usually considered in the literature. The solutions to thestability and stabilization problems are expressed in terms of LMIs which allowto check the stability of the closed-loop system for a given bound on theknowledge error and even optimize the uncertainty radius under some performanceconstraints; in this paper, the $\mathcal{H}_\infty$ performance measure isconsidered. The interest of the approach is finally illustrated through severalexamples.
机译:解决了状态反馈控制器对时变时滞的不确定LTI / LPV时滞系统的稳定问题。与文献中其他工作的不同之处在于,所提出的方法考虑到实现延迟的不确定性,可以合成弹性控制器。需要强调的是,这种控制器统一了文献中通常考虑的无记忆和精确内存控制器。稳定性和稳定性问题的解决方案用LMI表示,该LMI可以在给定的知识误差范围内检查闭环系统的稳定性,甚至可以在某些性能约束下优化不确定性半径。在本文中,考虑了$ \ mathcal {H} _ \ infty $性能指标。最后通过几个示例说明了该方法的兴趣。

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