H∞ Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation

Mourad Kchaou,Houssem Jerbi,Haitham Alsaif,Naim Ben Ali

doi:10.3390/act10080196

Abstract

In this study, we investigate the H∞ fault-tolerant control problem for a discrete-time singular system which is subject to external disturbances, actuator faults, and sensor saturation. By assuming that the state variable of the system is unavailable for measurement, and the actuator fault can be described by a Markovian jump process, attention is mainly focused on designing a reliable dynamic output-feedback (DOF) controller able to compensate for the effects of the aforementioned factors on the system stability and performance. Based on the sector non-linear approach to handle the sensor saturation, a new criterion is established to ensure that the closed-loop system is stochastically admissible with a γ level of the H∞ disturbance rejection performance. The main aim of this work is to develop a procedure for synthesizing the controller gains without any model transformation or decomposition of the output matrix. Therefore, by introducing a slack variable, the H∞ admissibility criterion is successfully transformed in terms of strict linear matrix inequalities (LMIs). Three practical examples are exploited to test the feasibility and effectiveness of the proposed approach.

Highlights

IntroductionPublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
It is well known that when dealing with control design problems, many fundamental issues arising from engineering systems should be considered in the analysis step
We have investigated the output-feedback control problem for a class of linear discrete-time singular plants with unmeasured states and in the presence of actuator faults and sensor saturations

Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. It is well known that when dealing with control design problems, many fundamental issues arising from engineering systems should be considered in the analysis step. The first major issue consists of the synthesis of a feedback control scheme to deal with the practical limitations in the structure of the feedback loops. The sensor saturation introduces a nonlinear behavior in the control loop which may disastrously affect the system performances

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