A separation principle for the stabilization of a class of time delay nonlinear systems

Benabdallah, Amel

doi:10.14736/kyb-2015-1-0099

Cited by 14 publications

(21 citation statements)

References 24 publications

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“…The high-gain observer design framework established in [11] for free delay systems can be properly extended to this class of time-delay fractional differential systems. For the same class of systems (3.4) with q = 1, a separation principle and observer-based stabilisation were studied in [2] and [8,12] respectively.…”

Section: System Descriptionmentioning

confidence: 99%

A Separation Principle for the Stabilisation of a Class of Fractional Order Time Delay Nonlinear Systems

Echi

Basdouri

Benali

2018

Bull. Aust. Math. Soc.

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Section: System Descriptionmentioning

confidence: 99%

A Separation Principle for the Stabilisation of a Class of Fractional Order Time Delay Nonlinear Systems

Echi

Basdouri

Benali

2018

Bull. Aust. Math. Soc.

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“…In these studies, a high gain observer has been used by [2,3] to provide a separation principle for the considered uncertain system. In this context, [4] proved a separation principle for nonlinear uncertain systems with nominal linear part.…”

Section: Introductionmentioning

confidence: 99%

“…Under a Lyapunov-Krasovskii functional, suitable choice, [24] derived a control scheme to design an adaptive control to stabilize the nonlinear time-delay systems. These stability findings obtained for delayed systems can be generally classified into two main types, namely delay independent [4,5,12,31] and delay dependent [11,15]. [16] has suggested the problem of observer for a class of nonlinear delay systems.…”

Section: Introductionmentioning

confidence: 99%

“…So we can no longer expect to design a controller that guarantees the stability of the origin as an equilibrium point. Due to this reason, the property is referred to as a practical stability which is more suitable for nonlinear free-delay systems see [6,7,8] and for nonlinear systems with time-delay see [13,14,19,31,34]. Practically an exponential convergence of the observation for unknown time delay nonlinear system in triangular form has been proposed in [19].…”

Section: Introductionmentioning

confidence: 99%

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Observer based control for strong practical stabilization of a class of uncertain time delay systems

Echi¹,

Benabdallah²

2020

Kybernetika

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“…For uncertain nonlinear systems, [19] designs the robust finitetime sliding mode controller via a set of linear matrix inequalities (LMIs). It is noted that the time delay is not taken into account in most above works, which could degrade system performance and even cause system instability [20,21,22,23,24,25,26,27,28,29]. To cope with this, [30] addresses the problem of robust H ∞ SMC for uncertain neutraltype MJSs with time-varying delays.…”

Section: Introductionmentioning

confidence: 99%

<html>H<sub>∞</sub> sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities</html>

Li¹,

Zhang²,

Ou³

et al. 2019

Kybernetika

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A separation principle for the stabilization of a class of time delay nonlinear systems

Cited by 14 publications

References 24 publications

A Separation Principle for the Stabilisation of a Class of Fractional Order Time Delay Nonlinear Systems

A Separation Principle for the Stabilisation of a Class of Fractional Order Time Delay Nonlinear Systems

Observer based control for strong practical stabilization of a class of uncertain time delay systems

<html>H<sub>∞</sub> sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities</html>

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A separation principle for the stabilization of a class of time delay nonlinear systems

Cited by 14 publications

References 24 publications

A Separation Principle for the Stabilisation of a Class of Fractional Order Time Delay Nonlinear Systems

A Separation Principle for the Stabilisation of a Class of Fractional Order Time Delay Nonlinear Systems

Observer based control for strong practical stabilization of a class of uncertain time delay systems

<html>H<sub>&infin;</sub> sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities</html>

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<html>H<sub>∞</sub> sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities</html>