Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators

ElFezazi, N.; Haoussi, Fatima El; Tissir, El Houssaine; Tadeo, Fernando

doi:10.5120/19499-1107

Cited by 10 publications

(7 citation statements)

References 15 publications

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“…Remark 3: In the case when E   , that is to say, the singular systems are reduced into linear systems. The problem of the observer-based controller design for linear systems is considered in [15][16][17][18][19]. However, the results of these papers can't be applied to singular systems.…”

Section: T T Tmentioning

confidence: 99%

“…Therefore, the design of a controller that does not require complete access to the state vector is preferable. That is why many observer design problems, which are concerned in using the available information on inputs and outputs to reconstruct the unmeasured states of the studied system, have been widely investigated for many practical applications in [15][16][17][18][19], whereas only a few works have been carried out on singular systems [20][21][22] this motivates our work.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Robust Observer-based Control Design for Singular Systems with Delays in States

Ech-charqy¹,

Ouahi²,

Tissir³

2018

AUSMT

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In this paper, the robust observer-based control problem for uncertain singular time delay systems is investigated. The approach is based on using Finsler's lemma. First, delay-dependent linear matrix inequality (LMI) conditions are obtained which, guarantee that the nominal unforced system is regular, impulse free, and stable. Then, with the help of obtained admissibility criterion, an observer-based controller is given by solving a set of LMIs. Finally, some simulations are provided to demonstrate the effectiveness of the obtained results.

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Section: T T Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Observer-based Control Design for Singular Systems with Delays in States

Ech-charqy¹,

Ouahi²,

Tissir³

2018

AUSMT

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“…the following useful lemmas will be used in this paper Lemma 2.1: [7] If ξ (k) ∈ S , then the following relation…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

“…Since the control action in AQM is determining the discarting probability, which is clearly a real number bounded between [0, 1], you cannot have a realistic AQM that disregards input saturation. In order to mitigate the saturation effect on stability of systems, an anti-windup synthesis for state-delayed systems has been addressed in [5], [7], [8], [9], [10], [16], [19]. It must elhaous fati@yahoo.fr 3 Valladolid University, Department of Systems Engineering and Automation, 47005, Valladolid, Spain.…”

Section: Introductionmentioning

confidence: 99%

A dynamic anti-windup AQM for congestion control in internet

Fezazi

Alaoui

Haoussi

et al. 2016

2016 IEEE/ACS 13th International Conference of Computer Systems and Applications (AICCSA)

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Abstract-This paper addresses the design of anti-windup gains for obtaining stability for linear systems with discrete time varying delay and saturating inputs delay. Considering that a dynamic output feedback has been designed to stabilize the AQM system (without saturation), a method is proposed for designing an anti-windup gain which relates the saturation of the queue when congestion, which is inevitable in networks. It is shown that the closed-loop system obtained from the controller plus the anti-windup gain can be modeled by a linear system with a dead zone nonlinearity. A modified sector condition is then used to obtain stability conditions based on Lyapunov functions. Differently from previous works these conditions are directly in linear matrix inequality form. Resulting in a new AQM which will be simulated in MATLAB and compared to RED.

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“…Since the control actions in AQM are the discarding probabilities, AQM approaches that ignore the input saturation are not adequate because saturations are known to deteriorate performance and might lead to unacceptable losses of stability. In order to mitigate the saturation effect on the stability of such systems, local/global stabilization in a specified domain of attraction has been studied previously, [12][13][14][15][16][17][18][19][20][21][22] and antiwindup techniques have been proposed in other works [23][24][25][26][27][28] where the emphasis was on the transient performance caused by the saturation. In this sense, the aforementioned works [23][24][25][26] proposed delay dependent antiwindup techniques to ensure the closed-loop stability of TCP/IP AQM routers.…”

mentioning

confidence: 99%

Multiclass AQM on a TCP/IP router: A control theory approach

Fezazi

Haoussi

Tissir

et al. 2019

Intl J Robust & Nonlinear

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Summary Active queue management (AQM) is a well‐known technique to improve routing performance under congested traffic conditions. It is often deployed to regulate queue sizes, thus aiming for constant transmission delay. This work addresses AQM using an approach based on control theory ideas. Compared with previous results in the literature, the novelty is the consideration of heterogeneous traffic, ie, multiclass traffic. Thus, each traffic class may have different discarding policies, queue sizes, and bandwidth share. This feature brings the proposal nearer to real network management demands than previous approaches in the literature. The proposed technique assumes that each class already has a simple controller, designed a priori, and focuses on designing a static state‐feedback controller for the multiclass system, where the design is based on using LMIs for the calculations. For this, optimization problems with LMI constraints are proposed to compute the state‐feedback gains that ensure stability for a large set of admissible initial conditions. These conditions ensure not only closed‐loop stability but also some level of performance. As far as we know, this is the first control theory based approach for the AQM problem on TCP/IP routers that allows a multiclass AQM while also considering time‐varying delays and input saturation. This is an important step to frame AQM in a more formal, yet realistic context, enabling it to address important service level agreement (SLA) directives. The proposal is tested on a simulated system at the end of this paper, showing the feasibility and performance of the approach in the presence of multiclass traffic.

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Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators

Cited by 10 publications

References 15 publications

Robust Observer-based Control Design for Singular Systems with Delays in States

Robust Observer-based Control Design for Singular Systems with Delays in States

A dynamic anti-windup AQM for congestion control in internet

Multiclass AQM on a TCP/IP router: A control theory approach

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