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Improved Approach to Stabilize Discrete-Time Delayed Systems: Controller for Wind Tunnels

  • Youssef El Fezazi,
  • Nabil El Fezazi,
  • Said Idrissi,
  • Nabil El Akchioui,
  • Amine El Fathi,
  • El Houssaine Tissir

摘要

This paper provides a solution to the discrete-time delayed systems controller design challenge, which is then used to manage the Mach number dynamics in wind tunnels. To guarantee the stability of the closed-loop system, we use a discrete-time Lyapunov-Krasovskii functional (LKF) to ensure stability and overcomes the challenge of bilinearity with a simple linear matrix inequalities (LMIs) condition that can be solved with convex optimization algorithms. Finally, a numerical example at the conclusion of this work demonstrates the applicability of the created control design technique and how less conservative it is than other ones that are already in use.