Details

Autor(en) / Beteiligte

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

Titel

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

Ist Teil von

• Mathematics (Basel), 2022-12, Vol.11 (1), p.31

Ort / Verlag

Basel: MDPI AG

Erscheinungsjahr

2022

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• 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.