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H_∞ Control for Discrete-Time Uncertain Singular Systems with Interval Time-Varying State and Input Delays

机译:H_∞控制离散时间不确定奇异系统,间隔时变状态和输入延迟

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This study focuses on the H_∞ control problem of a class of discrete-time uncertain singular systems with interval time-varying state and input delays. A sufficient condition, in the form of linear matrix inequality (LMI) with nonlinear constraints, for the existence of H_∞ state feedback controller is given by combining Lyapunov approach and LMI technique. In order to solve the nonlinear problem, a cone complementarity linearization algorithm is offered. As a medium step, a new bounded real lemma for discrete-time singular systems with a pair of interval time-varying state delays is obtained. Two numerical examples are provided to show the applicability of the proposed approach.
机译:本研究重点介绍了间隔时变状态和输入延迟的一类离散时间不确定奇异系统的H_∞控制问题。通过组合Lyapunov方法和LMI技术,给出了具有非线性约束的线性矩阵不等式(LMI)形式的充分条件,用于存在H_∞状态反馈控制器。为了解决非线性问题,提供了一种锥形互补线性化算法。作为媒介步骤,获得了具有一对间隔时变形延迟的离散时间奇异系统的新有界实际引理。提供了两个数值例子以显示所提出的方法的适用性。

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