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Finite-time Stability of Linear Time-Varying Delay Systems Using LQR Based Sliding Mode Control

机译:基于LQR滑模控制的线性时变时滞系统的有限时间稳定性

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In this paper we discussed the finite time stability of linear time-delay systems. The sufficient conditions are derived using linear quadratic regulator control (LQR) based sliding mode control (SMC) by proposing an integral sliding surface. Some novel conditions to design the appropriate control for the considered linear system is derived using the Lyapunov stability theory. The results can be easily solved using some standard numerical packages. A practical example is presented to illustrate the advantages and effectiveness of the proposed results.
机译:在本文中,我们讨论了线性时滞系统的有限时间稳定性。通过提出整体滑动表面,使用基于线性二次调节器控制(LQR)的滑模控制(SMC)得出足够的条件。利用Lyapunov稳定性理论推导了一些为所考虑的线性系统设计适当控制的新颖条件。使用一些标准的数值软件包可以轻松解决结果。给出了一个实际的例子来说明所提出的结果的优点和有效性。

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