Delay-Dependent Finite-Time Stabilization of Uncertain Switched Time-Delay Systems with Norm-Bounded Disturbance

Moradi, Elahe; Jahed‐Motlagh, Mohammad Reza; Yazdi, Mojtaba Barkhordari

doi:10.1080/03772063.2017.1351898

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…Besides, the concept of FTS is extended to a finite-time boundedness (FTB) if exogenous disturbances or the influence of perturbing forces are taken into account together [37]. Therefore, both FTS and FTB problems on switched systems with time delay as well as time-varying delay have drawn significant attention in the field of control (see [38][39][40][41][42] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

2022

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Many practical systems can be modeled in terms of uncertainties, which refer to the differences or errors between actual data and mathematical simulations. However, systems including slight uncertainties and exogenous disturbances may lead to the instability of those systems. Besides, the behavior of systems is preferable to investigate within a prescribed bound over a fixed time interval. Therefore, in this paper, we study a robust finite-time control of discrete-time linear switched positive time-varying delay systems with interval uncertainties and exogenous disturbance. A distinctive feature of this research is that the considered systems consist of finite-time bounded subsystems and finite-time unbounded subsystems. A class of quasi-alternative switching signals is validly designed to analyze the mechanism and switching behaviors of the systems among their subsystems. By utilizing a copositive Lyapunov–Krasovskii functional method combined with the slow mode-dependent average dwell time and the fast mode-dependent average dwell time switching techniques, new sufficient conditions containing several symmetric negative-definite matrices are derived to guarantee robust finite-time control of the systems. These results are applied to a water-quality controllability model in streams to the standard level. Finally, the consistent results between the theoretical analysis and the corresponding numerical simulations are shown.

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Section: Introductionmentioning

confidence: 99%

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

2022

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“…Nonetheless, the dynamical systems, including the slight uncertainties, may lead to the instability of those systems. Consequently, many researchers have devoted themselves to studying the FTS, FTB, and stability of the systems with uncertainties during the last decades [45][46][47][48][49][50][51][52]. However, to the best of our knowledge, there is no result on the FTB for a class of SPSs, including time-varying delay, interval uncertainties, exogenous disturbance, and finitetime unbounded subsystems in the literature.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Boundedness of Linear Uncertain Switched Positive Time-Varying Delay Systems with Finite-Time Unbounded Subsystems and Exogenous Disturbance

Mouktonglang

Yimnet

2021

Mathematics

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The problem of finite-time boundedness for a class of linear switched positive time-varying delay systems with interval uncertainties and exogenous disturbance is addressed. This characteristic research is that the studied systems include the finite-time bounded subsystems and finite-time unbounded subsystems. Both a slow mode-dependent average dwell time and a fast mode-dependent average dwell time switching techniques are utilized reasonably. And by applying a copositive Lyapunov-Krasovskii functional, novel delay-dependent sufficient criteria are derived to guarantee such systems to be finite-time bounded concerning the given parameters and designed switching signal. Furthermore, new finite-time boundedness criteria of the systems without interval uncertainties are also obtained. Finally, the efficiency of the theoretical results is presented in two illustrative examples.

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Event-triggered control for switched systems with unstable modes

Liu,

Cao,

et al. 2024

International Journal of Systems Science

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Delay-Dependent Finite-Time Stabilization of Uncertain Switched Time-Delay Systems with Norm-Bounded Disturbance

Cited by 3 publications

References 18 publications

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

Finite-Time Boundedness of Linear Uncertain Switched Positive Time-Varying Delay Systems with Finite-Time Unbounded Subsystems and Exogenous Disturbance

Event-triggered control for switched systems with unstable modes

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