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首页> 外文期刊>Mathematical Problems in Engineering >Stabilization of Discrete-Time Delayed Systems in Presence of Actuator Saturation Based on Wirtinger Inequality
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Stabilization of Discrete-Time Delayed Systems in Presence of Actuator Saturation Based on Wirtinger Inequality

机译：基于丝网不等式的执行器饱和度存在下离散时间延迟系统的稳定

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摘要

This paper examines the stability analysis of discrete-time control systems particularly during the event of actuator saturation and time-varying state delay. With the help of Wirtinger inequality along with Lyapunov-Krasovskii functional gain of state feedback controller is determined for stabilization of above system. The saturation nonlinearity is represented in the terms of convex hull. A new linear matrix inequality (LMI) criterion is settled with reciprocally convex combination based inequality which is dependent on delay. The proposed criterion is less conservative in concern to increase the delay bound and a controller is also simulated for real time problem of missile control system in this paper. It is also attained that projected stability criterion is less conservative compared to other outcomes. Furthermore, an optimization procedure together with LMI constraints has been proposed to maximize the attraction of domain.
机译：本文介绍了离散时间控制系统的稳定性分析，特别是在执行器饱和度和时变状态延迟的情况下。借助钢丝钳不等式以及Lyapunov-Krasovskii功能的功能增益，确定了上述系统的稳定性。饱和非线性以凸壳的术语表示。新的线性矩阵不等式（LMI）标准以基于延迟的不等式的互换组合的互转性。所提出的标准较少保守的关注，因为增加了延迟限制，并且还模拟了本文导弹控制系统的实时问题的控制器。与其他结果相比，投影稳定标准也较少保守。此外，已经提出了与LMI约束一起的优化过程以最大化域的吸引力。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第16期|5954642.1-5954642.14|共14页
  • 作者

    Pal Vipin Chandra; Negi Richa; Zhu Quanxin;

  • 作者单位

    Natl Inst Technol Silchar Dept Elect & Instrumentat Engn Silchar Assam India;

    MNNIT Allahabad EED Pryagraj 211004 India;

    Hunan Normal Univ Sch Math & Stat MOE LCSM Changsha 410081 Hunan Peoples R China;

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