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On Enlarging the set of Attraction for Discrete-Time Linear Systems with Constrained State and Control

机译:扩大具有受约束状态和控制的离散时间线性系统的吸引力

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The paper is devoted to the stabilization of linear systems having restricted states and controls. The determination of a 'larger' region of attraction for these systems is addressed. This region is described by an ellipsoid for which the volume is maximized. Necessary and sufficient LMI condition is given for the derivation of state feedback controllers driving the system asymptotically to the origin without violating the constraints for all states in the attraction region. The approach is illustrated by an example to show the application of our method.
机译:本文致力于稳定具有限制状态和对照的线性系统。解决这些系统的“较大”的吸引区域的确定。该区域由椭圆体描述的椭球最大化。给出了所需的和足够的LMI条件,用于推导出现渐近系统的状态反馈控制器,而不违反吸引区域中所有状态的约束。通过示例来说明该方法以显示我们的方法的应用。

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