Further results on delay-dependent stability for neutral singular systems via state decomposition method

Chen, Wenbin; Gao, Fang; She, Jinhua; Xia, Weifeng

doi:10.1016/j.chaos.2020.110408

Cited by 24 publications

(31 citation statements)

References 28 publications

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“…Neutral time-delay system is a special case, which contains not only the time-delay term of the system state, but also the time-delay term of the system state derivative. In recent years, the research on the stability and stabilization of neutral systems has aroused the interest of many scholars [1][2][3][4][5][6][7][8][9][10][11]. At present, the stability criteria of neutral systems can be divided into two categories: delay-dependent and delay independent.…”

Section: Original Research Articlementioning

confidence: 99%

“…It considers the upper and lower bounds of interval timevarying delays when constructing Lyapunov functional. The reference [11] discussed the delay-dependent stability for neutral singular systems and developed a novel augmented Lyapunov-Krasovskii functional including less decision variables.…”

Section: Original Research Articlementioning

confidence: 99%

“…Due to the establishment of ( 14), it is easy to deduce the establishment of (11), that is, the closed-loop system is robust and stable under the condition ( ) 0 w t  . Then we will prove that when ( ) 0 w t  , for a given positive constant 0 ,   we can get the following results:…”

Section: Theorem 2 When ( )mentioning

confidence: 99%

See 2 more Smart Citations

New Criterion of Robust Hܣ Stabilization for Uncertain Neutral Systems

2021

ARJOM

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The problems of delay-dependent robust stability and stabilization for a class of uncertain neutral systems are investigated in this paper. At first, by constructing a new Lyapunov functional and using the Lyapunov stability theory, a new delay-dependent condition which renders the system with no external disturbance and input to be asymptotically stable is obtained and given by a linear matrix inequality. Then, based on the obtained condition, a state feedback stabilize law is designed, which guarantees closed-loop neutral systems are asymptotically stable for all the permitted uncertainties when the external disturbance is naught, and it can also guarantee the closed-loop systems have performance under the external disturbance. The model of neutral systems with both the uncertainty and the disturbance discussed in this paper has rarely been considered before.

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Section: Original Research Articlementioning

confidence: 99%

Section: Original Research Articlementioning

confidence: 99%

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New Criterion of Robust Hܣ Stabilization for Uncertain Neutral Systems

2021

ARJOM

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“…Therefore, the analysis and synthesis of time delays have always been a research hotspot in control theory. [36][37][38][39][40][41] Recently, output feedback control has attracted more and more attention due to system state is unavailable or costly. As we all know, output feedback includes static output feedback and dynamic output feedback (DOF).…”

Section: Introductionmentioning

confidence: 99%

Robust dynamic output feedback stabilization for uncertain singular Markovian jump systems with time‐varying delays

Sun

Zhuang

Xia

et al. 2022

Intl J Robust & Nonlinear

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The article investigates robust dynamic output feedback (DOF) stabilization for uncertain time-varying delays singular Markovian jump systems (SMJSs). First, by using improved Lyapunov-Krasovskii functional, sufficient conditions of robust admissibility (namely regularity, non-impulsiveness, and asymptotic stability) for unforced nominal time-varying delays SMJSs are given. Second, by constructing a DOF controller such that the resulting closed-loop system satisfies robust admissibility, the robust DOF stabilization problem is solved in terms of linear matrix inequalities via orthogonal complement technique. Finally, the availability and practicality of the prime results are certified by two numerical examples and a practical example of the oil catalytic cracking process.

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“…An optimization problem is set up in Aminsafaee and Shafiei (2020) to design a delay compensation strategy for systems with switching signals and input constraints. Other relevant methods include the nonlinear sliding-mode scheme (Prasad et al, 2017), the H ∞ deconvolution filter (Xia and Xu, 2018), the state decomposition technique (Chen et al, 2020), and the event-triggered filtering (Xia et al, 2021). Nguyen (2018) modified the predictor-based model reference adaptive control (PMRAC) framework to compensate for input delays in uncertain nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

An adaptive control framework for a class of nonlinear time-delay systems

Nguyen

2022

Transactions of the Institute of Measurement and Control

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This paper aims to formulate an adaptive control framework capable of producing desirable tracking performance for uncertain nonlinear systems with an unknown delay in the control input and a nonlinear control coefficient matrix. Since the control framework inherits common components of the classical model-reference adaptive controller (MRAC), it is easy to implement with a low barrier to entry. In addition, the work shows that the deviation of the state of the proposed control scheme from an ideal dynamics system is bounded given that the delays are within a certain margin. Simulation results are presented to illustrate the theoretical contribution and demonstrate the efficacy of the proposed controller in comparison with an existing competing controller. The limitation of this control framework is also discussed with a suggestion for overcoming the limitation toward the end of the paper.

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Further results on delay-dependent stability for neutral singular systems via state decomposition method

Cited by 24 publications

References 28 publications

New Criterion of Robust Hܣ Stabilization for Uncertain Neutral Systems

New Criterion of Robust Hܣ Stabilization for Uncertain Neutral Systems

Robust dynamic output feedback stabilization for uncertain singular Markovian jump systems with time‐varying delays

An adaptive control framework for a class of nonlinear time-delay systems

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