Exponential stabilization using sliding mode control for singular systems with time-varying delays and nonlinear perturbations

Ding, Yucai; Zhu, Hong; Zhong, Shouming

doi:10.1016/j.cnsns.2011.02.034

Cited by 37 publications

(25 citation statements)

References 27 publications

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“…It is known for over four decades and being applied successfully to large practical engineering systems, including switching power electronics, electrical motors, robot manipulators, aircrafts and so on [25][26][27][28]. In SMC, the design procedure consists in two steps.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

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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“…Sliding mode control (SMC), due to its attractive features such as fast response and good transient response, insensitivity to variations in system parameters and external disturbances, has become an effective robust control approach for a wide variety of practical engineering systems such as robot manipulators, aircraft, underwater vehicles, spacecraft, flexible space structures, electrical motors, power systems and automotive engines [3,20,32]. Many results have been reported on sliding mode control for different kinds of control systems, including stochastic systems [2,[16][17][18], uncertain systems [10,21,23,26,29], time-delay systems [15,17,23,25,26,31], Markovian jump systems [2,9,11,16,17,24,25] and singular systems [5][6][7]12,14,[22][23][24][25]31]. Wu and Ho D.W.C [22] studied SMC of singular stochastic hybrid systems.…”

Section: Introductionmentioning

confidence: 99%

“…Then the effects of input nonlinearity must be taken into account when analyzing and implementing a SMC scheme [5,10,26,31]. Yang et al [31] considered SMC for Markovian switching singular systems with time-varying delays and nonlinear perturbations.…”

Section: Introductionmentioning

confidence: 99%

“…Yang et al [31] considered SMC for Markovian switching singular systems with time-varying delays and nonlinear perturbations. Ding et al [5] dealt with exponential stabilization using SMC for singular systems with time-varying delays and nonlinear perturbations. In practice, the state of the system is expensive to measure or even not available due to the factors of cost, technique, etc.…”

Section: Introductionmentioning

confidence: 99%

“…But the above approaches proposed in the above papers are not workable for singular systems. On the other hand, the sliding mode control problem for singular time-delay systems were considered to guarantee the robust exponential stability and generalized quadratical stability in [5] and [23], respectively. Wu et al [24] presented some good results about state estimation and sliding mode control of Markovian jump singular systems.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Observer-Based $$H_\infty $$ H ∞ Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems

Kao

Xie

Wang

et al. 2015

Circuits Syst Signal Process

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The paper is concerned with the observer-based H ∞ sliding mode controller design for a class of uncertain stochastic singular time-delay systems subjected to input nonlinearity. Using the sliding mode control, a robust law is established to guarantee the reachability of the sliding surface in a finite time interval, and the sufficient condition for asymptotic stability of the error system and sliding mode dynamics with disturbance attenuation level is presented in terms of linear matrix inequalities. Finally, an example illustrates the proposed method.

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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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Exponential stabilization using sliding mode control for singular systems with time-varying delays and nonlinear perturbations

Cited by 37 publications

References 27 publications

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

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

Observer-Based $$H_\infty $$ H ∞ Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems

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

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