Control Based on Saturated Time-Delay Systems Theory of Mach Number in Wind Tunnels

Fezazi, Nabil El; Tissir, El Houssaine; Haoussi, Fatima El; Álvarez, Teresa; Tadeo, Fernando

doi:10.1007/s00034-017-0620-8

Cited by 20 publications

(5 citation statements)

References 21 publications

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“…} from the left and its transpose on the right and by defining N −1 1 = X, N 2 = γN 1 , V c = E c T −1 T ,P = XPX T ,R i = XR i X T , i = 1, 2,Q j = XQ j X T , j = 1, 2, 3,S = XSX T , W = HX T , L = T −1 0 , we obtain the LMI (12). Since (12) holds, we can conclude that,…”

Section: New Model Reformulationmentioning

confidence: 99%

“…Then, as in [28,29], we formulate a feasibility problem as follows, min tr(PP +Q lQl +R lRl + (X + X T )(X +X T )) subject to (12), (13), (25), and (26),…”

Section: Anti-windup Optimizationmentioning

confidence: 99%

“…Furthermore, the incremental step D e is generally chosen sufficiently small to guarantee the best accuracy. Note that inequalities (12) and (13) can be easily solved by using the LMI toolbox of MATLAB or Scilab.…”

Section: Remark 3 the Initial Value Of D E Inmentioning

confidence: 99%

“…The controller design without taking into account the saturation effects can lead to performance degradation, causes the instability of the closed-loop system, and could even involve security problems, such as crashes of the aircraft JAS Gripen and the meltdown of the Chernobyl power plant. Therefore, people are paying more and more attention to control systems with actuator saturation [12][13][14]. A common technique to avoid the effect of saturation is the anti-windup compensator.…”

Section: Introductionmentioning

confidence: 99%

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Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

2019

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The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov–Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique.

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Section: New Model Reformulationmentioning

confidence: 99%

“…Then, as in [28,29], we formulate a feasibility problem as follows, min tr(PP +Q lQl +R lRl + (X + X T )(X +X T )) subject to (12), (13), (25), and (26),…”

Section: Anti-windup Optimizationmentioning

confidence: 99%

Section: Remark 3 the Initial Value Of D E Inmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

2019

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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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Anti-windup Compensation in TCP/IP Routers: A Multi-delay Feedback Systems Approach

Fezazi

Rachid

Tissir

et al. 2019

Studies in Big Data

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Control Based on Saturated Time-Delay Systems Theory of Mach Number in Wind Tunnels

Cited by 20 publications

References 21 publications

Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

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

Anti-windup Compensation in TCP/IP Routers: A Multi-delay Feedback Systems Approach

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