A delay‐dependent bounded real lemma for singular LPV systems with time‐variant delay

Li, Fanbiao; Zhang, Xian

doi:10.1002/rnc.1714

Cited by 125 publications

(108 citation statements)

References 31 publications

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“…In Li and Zhang [34], the authors have developed a robust H 1 filtering for singular LPV systems with time varying delays so as to estimate the states of the system but without any FDI purposes. In Hamdi et al [35], the authors have developed a robust FDI method based on a multiple models concept.…”

Section: Introductionmentioning

confidence: 99%

Observer-based fault tolerant control design for a class of LPV descriptor systems

Rodrigues

Hamdi

Braïek

et al. 2014

Journal of the Franklin Institute

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International audienceThis paper presents a new Fault Tolerant Control (FTC) methodology for a class of LPV descriptor systems that are represented under a polytopic LPV form. The aim of this FTC strategy is to compensate the effects of time-varying or constant actuator faults by designing an Adaptive Polytopic Observer (APO) which is able to estimate both the states of the system and the magnitude of the actuator faults. Based on the information provided by this APO, a new state feedback control law is derived in order to stabilize the system. Stability conditions of the designed observer and the state-feedback control are provided and solved through a set of Linear Matrix Inequalities (LMI) under equality constraints. The performance of the proposed Fault Tolerant Control scheme is illustrated using a two-phase flash system

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Section: Introductionmentioning

confidence: 99%

Observer-based fault tolerant control design for a class of LPV descriptor systems

Rodrigues

Hamdi

Braïek

et al. 2014

Journal of the Franklin Institute

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“…(Li and Zhang, 2012) Regularity and impulse-freeness of the system (1) guarantee a unique continuous solution without impulsive behavior in the case of a compatible initial function φ(t) for the system (1).…”

Section: Problem Formulationmentioning

confidence: 99%

“…Thus, admissibility, stabilization and control of this system are not addressed in this paper. The reader interested in these issues is referred to the works of Li and Zhang (2012) as well as Zhang and Zhu (2012).…”

Section: Assumptionmentioning

confidence: 99%

Robust fault detection of singular LPV systems with multiple time–varying delays

Hassanabadi

Shafiee²,

Puig

2016

International Journal of Applied Mathematics and Computer Science

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In this paper, the robust fault detection problem for LPV singular delayed systems in the presence of disturbances and actuator faults is considered. For both disturbance decoupling and actuator fault detection, an unknown input observer (UIO) is proposed. The aim is to compute a residual signal which has minimum sensitivity to disturbances while having maximum sensitivity to faults. Robustness to unknown inputs is formulated in the sense of the H∞-norm by means of the bounded real lemma (BRL) for LPV delayed systems. In order to formulate fault sensitivity conditions, a reference model which characterizes the ideal residual behavior in a faulty situation is considered. The residual error with respect to this reference model is computed. Then, the maximization of the residual fault effect is converted to minimization of its effect on the residual error and is addressed by using the BRL. The compromise between the unknown input effect and the fault effect on the residual is translated into a multi-objective optimization problem with some LMI constraints. In order to show the efficiency and applicability of the proposed method, a part of the Barcelona sewer system is considered.

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“…In [13], the robust H ∞ filtering problem for singular systems with time-varying parameters and time delays has been investigated. A delay-dependent sufficient condition is derived by using bounded real lemma and delay-partitioning method.…”

Section: Remarkmentioning

confidence: 99%

“…In [12,28,36], H ∞ synchronization for delayed chaotic neural networks and mechanical systems with external disturbance have been presented, while H ∞ synchronization for Lur'e system has been studied in [10]. The problem of H ∞ filtering for time-delay systems has been investigated in [20,22,[30][31][32], whereas stability and stabilization of time-delay systems with disturbances have given in [13,16,19,21]. Recently, the problem of synchronization for identical chaotic Lur'e systems with external disturbance and uncertainties using sampled-data H ∞ controller has been discussed in [7].…”

mentioning

confidence: 99%

Sampled-Data $$H_{\infty }$$ H ∞ Synchronization of Chaotic Lur’e Systems with Time Delay

Cao

Sivasamy

Rakkiyappan

2015

Circuits Syst Signal Process

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This paper deals with the problem of robust H ∞ synchronization of chaotic Lur'e systems with time-varying delays via sampled-data control. In order to make full use of the information about sampling intervals, nonlinear functions and time-varying delays, an improved Lyapunov-Krasovskii (L-K) functional is introduced. Based on reciprocal convex combination technique, sufficient conditions are derived in terms of linear matrix inequalities (LMIs) to ensure the asymptotic synchronization of the considered Lur'e system with a guaranteed H ∞ performance. By solving the obtained LMIs, the required sampled-data control gain matrix is obtained, which assures the asymptotic stability of the error system and reduces the effect of external disturbance according to H ∞ norm. Finally, the effectiveness and less conservatism of the proposed method are verified through numerical simulations of the Chua's circuit and neural networks.

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A delay‐dependent bounded real lemma for singular LPV systems with time‐variant delay

Cited by 125 publications

References 31 publications

Observer-based fault tolerant control design for a class of LPV descriptor systems

Observer-based fault tolerant control design for a class of LPV descriptor systems

Robust fault detection of singular LPV systems with multiple time–varying delays

Sampled-Data $$H_{\infty }$$ H ∞ Synchronization of Chaotic Lur’e Systems with Time Delay

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