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A New $H_{{bm infty}}$ Stabilization Criterion for Networked Control Systems

机译:网络控制系统的新$ H _ {{bm infty}} $稳定准则

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摘要

This note is concerned with robust $H_{infty}$ control of linear networked control systems with time-varying network-induced delay and data packet dropout. A new Lyapunov–Krasovskii functional, which makes use of the information of both the lower and upper bounds of the time-varying network-induced delay, is proposed to drive a new delay-dependent $H_{infty}$ stabilization criterion. The criterion is formulated in the form of a nonconvex matrix inequality, of which a feasible solution can be obtained by solving a minimization problem in terms of linear matrix inequalities. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no slack variable is introduced. Finally, two numerical examples are given to show the effectiveness of the proposed design method.
机译:本说明与线性网络控制系统的鲁棒$ H_ {infty} $控制有关,该控制具有时变网络引起的延迟和数据包丢失的情况。提出了一种新的Lyapunov–Krasovskii函数,该函数利用时变网络引起的时延的上下限信息,以驱动新的时延相关$ H_ {infty} $稳定准则。该准则以非凸矩阵不等式的形式制定,可以通过解决关于线性矩阵不等式的最小化问题来获得可行的解决方案。为了获得少得多的保守结果,估计了某个术语的更严格边界。此外,没有引入松弛变量。最后,给出了两个数值例子,说明了该设计方法的有效性。

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