A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters

Zemouche, Ali; Zerrougui, Mohamed; Boulkroune, Boulaïd; Rajamani, Rajesh; Zasadzinski, Michel

doi:10.1109/acc.2016.7525343

Cited by 14 publications

(11 citation statements)

References 22 publications

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“…Jetto and Orsini (2010) (!) 0.0800 LMI 18 in Zemouche et al (2016) 0.2123 0.9999 LMI 24 in Zemouche et al (2016) 0.3107 0.9999 (α j ) j=1,2 = (100, 130) (α j ) j=1,2 = 1 ( j ) j=1,2 = 0.03 ( j ) j=1,2 = 24 LMI (29) 0.4441 1.4…”

Section: Resultsmentioning

confidence: 99%

“…The observer-based controller we proposed here is the same as in Heemels et al (2010); Jetto and Orsini (2010); Zemouche et al (2016), and described by the following equations:…”

Section: System Description and Problem Statementmentioning

confidence: 99%

“…Let us start by checking that under condition (2) or (H), the following result, which is given in Zemouche et al (2016) without proof, holds. Proposition 1.…”

Section: About the Assumption (2) On The Uncertaintymentioning

confidence: 99%

“…Hence, the observer-based gains depend on these bounds. The problem we investigate in this paper is motivated by the work proposed in Heemels et al (2010), Jetto and Orsini (2010) and recently in Zemouche et al (2016). One of the contributions of this paper consists in the use of a relaxed reformulation for the parameter uncertainty.…”

Section: Introductionmentioning

confidence: 99%

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A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

et al. 2017

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This paper deals with observer-based stabilization for a class of Linear ParameterVarying (LPV) systems in discrete-time case. Two new LMI design methods are proposed to design the observer-based controller gains. The first one is based on the use of a Young's relation in a judicious way, while the second one, which provides more interesting results, is based on the use of a general congruence principle. This use of congruence principle leads to some additional slack matrices as decision variables, which make disappear some bilinear terms leading to less conservative LMI conditions. To the authors' best knowledge, this is the first time the congruence principle is exploited in this way. The effectiveness and superiority of the proposed design techniques, compared to existing results in the literature, are demonstrated through two numerical examples.

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Section: Resultsmentioning

confidence: 99%

“…The observer-based controller we proposed here is the same as in Heemels et al (2010); Jetto and Orsini (2010); Zemouche et al (2016), and described by the following equations:…”

Section: System Description and Problem Statementmentioning

confidence: 99%

“…Let us start by checking that under condition (2) or (H), the following result, which is given in Zemouche et al (2016) without proof, holds. Proposition 1.…”

Section: About the Assumption (2) On The Uncertaintymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

et al. 2017

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“…In this paper, state feedback is used in conjunction with multiple resonant compensators that ensure the elimination of the steady state error and guarantee the rejection of multiple harmonics of the fundamental frequency produced by non-linear loads. In order to ensure the desired performances, the LMIs constraints construction is performed using a performance criterion throughout a robust regional poles placement [16,17].…”

Section: Introductionmentioning

confidence: 99%

Robust Resonant Controllers for Distributed Energy Resources in Microgrids

et al. 2020

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Motivated by the problem of different types and variations of load in micro-grids, this paper presents robust proportional-resonant controllers with a harmonics compensator based on the internal model principle. These controllers ensure robust tracking of sinusoidal reference signals in distributed energy resource systems subject to load variation with respect to sinusoidal disturbances. The distributed generation resource and the resonant controllers are described using the augmented state system approach, allowing the application of the state feedback technique. In order to minimize the tracking error and ensure robustness against perturbation, a set of linear matrix inequalities (LMIs) are addressed for the synthesizing of controller gains. Finally, results obtained in the simulation for resonant compensators with the distributed energy system are presented, in which the controller is applied to the CC-CA inverter.

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H−/H∞ filter‐based fault detection application to PEM fuel cell air‐feed system

Niane,

Zerrougui,

Outbib

2024

Asian Journal of Control

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This paper focuses on diagnosing faults and disturbances in the polymer electrolyte membrane (PEM) fuel cell air‐feed system. The main objective is to design a robust filter, specifically of the type, to improve fault detection and attenuate perturbations. The norm is employed to assess the fault sensitivity performance of the detection process, while the norm guarantees the robustness of the proposed filter against disturbances. The approach utilized in this work is based on Lyapunov stability analysis, and the filter matrices are determined by solving a convex optimization problem formulated as linear matrix inequalities (LMIs). To illustrate the effectiveness of our results, a simulation is conducted under various disturbance and faulty scenarios. By integrating robust filtering techniques and addressing fault detection and disturbance attenuation, this study offers valuable insights for enhancing the performance and reliability of the PEM fuel cell air‐feed system.

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A new LMI observer-based controller design method for discrete-time LPV systems with uncertain parameters

Cited by 14 publications

References 22 publications

A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

Robust Resonant Controllers for Distributed Energy Resources in Microgrids

H−/H∞ filter‐based fault detection application to PEM fuel cell air‐feed system

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