Design of Finite Time Reduced Order H∞ Controller for Linear Discrete Time Systems

Mohammed Taoussi, Nabil El Akchioui, Adil Bardane, Nabil El Fezazi, Rashid Farkous, El Houssaine Tissir, Mo’tassem Al-Arydah

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The current article gives a new approach that is efficient for the design of a low-order H∞ controller over a finite time interval. The system under consideration is a linear discrete time system affected by norm bounded disturbances. The proposed method has the advantage that takes into account both robustness aspects and desired closed-loop characteristics, reducing the number of variables in Linear Matrix Inequalities (LMIs). Thus, reduced order H∞ controller parameters are given to guarantee a finite time H∞ bound (FTB-H∞) for a closed-loop system. The method of the finite time stability, that is proven in this paper by the Lyapunov theory, can be applied to a wide range of process models. Numerical examples demonstrating the effectiveness of the results developed are presented at the end of this paper.

Original languageBritish English
Article number31
JournalMathematics
Volume11
Issue number1
DOIs
StatePublished - Jan 2023

Keywords

  • discrete time system
  • disturbances
  • finite time
  • reduced order controller
  • robustness

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