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Stabilization of Discrete-Time Delayed Systems in Presence of Actuator Saturation Based on Wirtinger Inequality

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  • Vipin Chandra Pal
  • Richa Negi
  • Quanxin Zhu

Abstract

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.

Suggested Citation

  • Vipin Chandra Pal & Richa Negi & Quanxin Zhu, 2019. "Stabilization of Discrete-Time Delayed Systems in Presence of Actuator Saturation Based on Wirtinger Inequality," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-14, July.
    • Handle: RePEc:hin:jnlmpe:5954642
    DOI: 10.1155/2019/5954642
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