New delay dependent robust stability criteria for T-S fuzzy systems with constant delay

Idrissi, Said; Tissir, El Houssaine; Boumhidi, Ismail; Chaibi, Noreddine

doi:10.1007/s12555-012-9319-6

Cited by 28 publications

(3 citation statements)

References 22 publications

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“…Thereby, based on the Lyapunov-Krasovskii functional, sufficient conditions for the controller synthesis are provided in terms of linear matrix inequality that depend on time delay upper bound values (Dou et al 2011). Indeed, these values are determined using convex optimization strategies such that the system can be stabilized for all time delays whose sizes are not larger than the upper bound (Idrissi et al 2013). As a matter of fact, in these delaydependent control strategies, only the decentralized control is achieved without incorporating state observer techniques in the closed-loop schemes.…”

Section: Introductionmentioning

confidence: 99%

$$H_{\infty }$$ Optimization-Based Stabilization for Nonlinear Disturbed Time Delay Systems

Tlili

2020

J Control Autom Electr Syst

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This paper contemplates designing a H ∞ dynamic output-feedback decentralized control for nonlinear interconnected disturbed time delay systems. Pursuant to Lyapunov-Krasovskii functional techniques and linear matrix inequality methods, asymptotic stability conditions for the robust stability and stabilization of the studied system are conducted in an optimization problem subject to linear matrix inequalities. The resolution of such a problem enables computing jointly the robust observation and control gain matrices, maximizing the bounds of nonlinear interconnections tolerated by the system without being unstable, improving the performance of the proposed control strategy by minimizing a H ∞ criterion and ensuring the stability of the closed-loop system despite exogenous disturbances applied to the subsystems. Simulation results are provided by a prominent application example of a 3-interconnected machine power system with time delay to demonstrate the efficacy of the designed delay-independent control approach.

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Section: Introductionmentioning

confidence: 99%

$$H_{\infty }$$ Optimization-Based Stabilization for Nonlinear Disturbed Time Delay Systems

Tlili

2020

J Control Autom Electr Syst

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“…Modelling the delay as a sum of queuing delays e.g. see [2, 6–12]. Modelling the delay by partitions has been considered e.g.…”

Section: Introductionmentioning

confidence: 99%

Congestion control with AQM and dynamic quantisers

Sadek

Tissir

Chaibi

2020

IET Control Theory & Appl

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This study is concerned with the design of active queue management (AQM) subjected to quantisation errors. First, the authors will show here that quantisation errors exist when AQM experiences transmission control protocol (TCP) during the congestion. Second, a TCP/AQM model that takes into account quantisation errors is proposed – the considered quantisers are dynamic and have a scale parameter. Based on this model, stabilisation will be analysed in which the controller and the scaling parameters are obtained using the Lyapunov–Krassovskii functional method. Finally, Matlab simulation results are displayed to show the effectiveness of the proposed method.

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“…Recently, TS model-based fuzzy control has been widely used for complex nonlinear systems [1][2][3][4][5][6]. Usually, parallel distributed compensation (PDC) scheme through the Lyapunov method is used for such fuzzy control configuration.…”

Section: Introductionmentioning

confidence: 99%

More relaxed non-quadratic stabilization conditions for TS fuzzy control systems using LMI and GEVP

Vafamand

Sadeghi

2015

Int. J. Control Autom. Syst.

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In this paper, a new systematic approach is presented to further decrease the conservativeness in stability analysis condition and controller design. Non-quadratic Lyapunov function is utilized to derive stability conditions in terms of linear matrix inequalities. Also, the control problem is formulated in a generalized eigenvalue problem. Considering the concept of decay rate and control input constraint, a new systematic procedure is proposed to calculate a maximum bound for the upper bounds of the time derivatives of the membership functions. Moreover, some slack matrices are introduced that help to reduce conservativeness. The number of inequalities is few compared to the existing results in literature, which helps the feasibility in the case of large number of fuzzy rules. Simulation examples and comparison results demonstrate the merits of this method.

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New delay dependent robust stability criteria for T-S fuzzy systems with constant delay

Cited by 28 publications

References 22 publications

$$H_{\infty }$$ Optimization-Based Stabilization for Nonlinear Disturbed Time Delay Systems

$$H_{\infty }$$ Optimization-Based Stabilization for Nonlinear Disturbed Time Delay Systems

Congestion control with AQM and dynamic quantisers

More relaxed non-quadratic stabilization conditions for TS fuzzy control systems using LMI and GEVP

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