Dissipativity analysis of singular systems with Markovian jump parameters and mode-dependent mixed time-delays

Cui, Wenxia; Fang, Jian‐an; Shen, Ying; Zhang, Wenbing

doi:10.1016/j.neucom.2012.11.026

Cited by 32 publications

(19 citation statements)

References 29 publications

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“…In this section we aim to design a sliding mode controller for the aforementioned fuzzy singular system (7). The SMC design involves 2 basic steps.…”

Section: Resultsmentioning

confidence: 99%

Adaptive sliding mode control for fuzzy singular systems with time delay and input nonlinearity

Kchaou

Gassara

El-Hajjaji

2018

Adaptive Control & Signal

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This paper addresses the sliding mode control problem for a class of uncertain Takagi-Sugeno fuzzy singular systems with state delay and subject to input nonlinearity. Our purpose is focused on designing an adaptive sliding mode controller for such a complex system. First, a new fuzzy integral-type sliding function is designed. Then, an adaptive sliding mode control scheme is established such that the resulting closed-loop system is insensitive to all admissible uncertainties and satisfies the reaching condition. Moreover, delay-dependent sufficient conditions are derived such that the admissibility and the L 2 -L ∞ performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delays, external disturbances, and sector nonlinearity input. Finally, the validity and applicability of the proposed theory are illustrated by a numerical example. KEYWORDSadaptive sliding mode control, fuzzy singular systems, LMI, time delay 464

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“…In this section we aim to design a sliding mode controller for the aforementioned fuzzy singular system (7). The SMC design involves 2 basic steps.…”

Section: Resultsmentioning

confidence: 99%

Adaptive sliding mode control for fuzzy singular systems with time delay and input nonlinearity

Kchaou

Gassara

El-Hajjaji

2018

Adaptive Control & Signal

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“…Suppose that the switching surface function is given by (13) with K i being solvable by (45), and M in (13) is chosen such that MB is non-singular. Then, the reachability of the sliding surface is guaranteed by the following SMC law…”

Section: Smc Law Synthesismentioning

confidence: 99%

“…With ρ = 0.65, the sliding surface and the SMC law can be designed according to (13) and (14) and (48) and (49), respectively. To prevent the control signals from chattering, we replace {s(t)/[ s(t) ]} with {s(t)/[0.05 + s(t) ]}.…”

Section: Illustrative Examplesmentioning

confidence: 99%

“…Among basic notions of state-space systems generalised to singular systems, dissipativity is one of the most important properties of dynamic systems and plays crucial roles in various problems of analysis and control design of linear and non-linear systems. Since its introduction, it has been attracting a great deal of research interests and many results have been reported so far [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Dissipativity‐based integral sliding‐mode control for a class of Takagi–Sugeno fuzzy singular systems with time‐varying delay

Kchaou

Gassara

El-Hajjaji

et al. 2014

IET Control Theory & Applications

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The problem of sliding-mode control (SMC) with dissipativity for a class of time-delay Takagi-Sugeno fuzzy singular systems is investigated. The system is subject to uncertainties and input non-linearity. Based on an integral sliding surface, a delay-dependent criterion is developed in terms of linear matrix inequalities, which ensures the sliding mode dynamics to be robustly admissible and strictly (Q, S, R)-dissipative. Moreover, an SMC law is established such that the reachability of the specified sliding surface is guaranteed. Finally, the validity and applicability of the proposed approach are illuminated by two simulation examples.

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“…Many important results have been reported, such as a number of studies on the Markovian jump system on the filter design [3][4][5], controller design [6], output feedback control [7][8][9][10], stability analysis and synthesis [11][12][13]. In fact, MJLSs are very appropriate to dynamical model systems whose property is subject to random sudden variant due to abrupt external disturbance, shifting of the action spots of a nonlinear system, and repairs of components, thus, in order to ensure the nonlinear system stochastically exponentially stable, the author in [9] proposed a Markovian Lyapunov functional which was been successfully used in the nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Fault detection reduced-order filter design for discrete-time Markov jump system with deficient transition information

Rong

Peng

Zhang

2016

EURASIP J. Adv. Signal Process.

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The paper addresses the fault detection (FD) problem for a class of discrete-time Markov jump linear systems (MJLSs) with deficient transition rates, which simultaneously considers the totally known, partly unknown, and uncertain transition rates. Then, in accordance with the linear matrix inequality (LMI) method and the convexification techniques, a sufficient condition for the existence of FD reduced-order filter over MJLSs with deficient transition information is obtained, which can ensure the error augmented system with the FD reduced-order filter is stochastically stable. In addition, a performance index is given to enhance the robustness of the residual system against deficient transition information and external disturbance, such that the error between the fault and the residual is made as small as possible to reinforce the faults sensitivity. Finally, an illustrative example is employed to show the effectiveness of the proposed design approach.

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Dissipativity analysis of singular systems with Markovian jump parameters and mode-dependent mixed time-delays

Cited by 32 publications

References 29 publications

Adaptive sliding mode control for fuzzy singular systems with time delay and input nonlinearity

Adaptive sliding mode control for fuzzy singular systems with time delay and input nonlinearity

Dissipativity‐based integral sliding‐mode control for a class of Takagi–Sugeno fuzzy singular systems with time‐varying delay

Fault detection reduced-order filter design for discrete-time Markov jump system with deficient transition information

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