Robust Asynchronous <i>H</i><sub>∞</sub> Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach

This work discuss the robust stabilization problem for discrete-time switched singular systems with simultaneous presence of time-varying delay and sensor nonlinearity. To this end, an observer-based controller was synthesized that works under asynchronous switching signals. Investigating the averag...

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Bibliographic Details
Main Authors: Mohamed Amin Regaieg, Mourad Kchaou, Houssem Jerbi, Attia Boudjemline, Ahmed Hafaifa
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/10/19/2334
Description
Summary:This work discuss the robust stabilization problem for discrete-time switched singular systems with simultaneous presence of time-varying delay and sensor nonlinearity. To this end, an observer-based controller was synthesized that works under asynchronous switching signals. Investigating the average dwell time approach and using a Lyapunov–Krasovskii functional with triple sum terms, sufficient conditions were derived for achieving the existence of such asynchronous controller and guaranteeing the resulting closed-loop system to be exponentially admissible with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance level. Subsequently, the effectiveness of the proposed control scheme was verified through two numerical examples.
ISSN:2079-9292