Sampled-data in space nonlinear control of scalar semilinear parabolic and hyperbolic systems

Furtat, Igor B.; Гущин, П. А.

doi:10.1016/j.jfranklin.2021.11.010

Journal of the Franklin Institute

2022

DOI: 10.1016/j.jfranklin.2021.11.010

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Sampled-data in space nonlinear control of scalar semilinear parabolic and hyperbolic systems

Igor B. Furtat

П. А. Гущин

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2024

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Cited by 3 publications

References 39 publications

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Stabilization of coupled delayed nonlinear time fractional reaction diffusion systems using sampled‐in‐space sensing and actuation

Chen,

Zhuang

2024

Asian Journal of Control

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This paper is considered with the asymptotic stabilization of coupled delayed nonlinear time fractional reaction diffusion systems (FRDSs) governed by fractional parabolic partial differential equations (PDEs) with space‐dependent coefficients under sampled‐data in space control. It is assumed that state measurements can be averaged measurements (AMs) or point measurements (PMs), and a finite number of sensing and actuation devices are located in a spaced manner along the spatial domain of the interest. With the proposed sampled‐data in space controller, the closed‐loop stability is obtained. Tuning rules of system parameters and control parameters are derived using the fractional Halanay's inequality and the fractional Lyapunov method. Subsequently, the dual problem of observer design is formulated. Fractional examples are used to valid the theoretical result. Discussions on the extension of sampled‐data boundary feedback stabilization are provided finally.

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Stabilization of coupled delayed nonlinear time fractional reaction diffusion systems using sampled‐in‐space sensing and actuation

Chen,

Zhuang

2024

Asian Journal of Control

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Nonlinear output feedback control laws based on linear ones for improving ultimate bound

Furtat,

Gushchin,

Kopysova

2024

Journal of the Franklin Institute

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Sampled-data observer-based nonlinear control for coupled semilinear fractional-order partial differential equation systems with time-varying delays

Chen,

Zhuang

2024

Transactions of the Institute of Measurement and Control

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In this paper, we consider observer-based sampled-data in space output feedback stabilization of coupled time-delayed systems governed by semilinear time fractional-order partial differential equations (TFPDEs) with spatially varying parameters. For such systems, the output feedback controller is sampled-data in space and continuous in time. Here, we suppose that the sampled-in-space intervals are bounded. Under point measurements (PMs) or averaged measurements (AMs), the sampled-data observation problem is first considered. With the designed nonlinear observer, the sampled-data observer-based controller is then proposed to asymptotically stabilize the resulting closed-loop system in terms of the fractional Halanay inequality and the fractional Lyapunov method. Numerical examples are provided to valid the efficiency of the suggested synthesis.

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Sampled-data in space nonlinear control of scalar semilinear parabolic and hyperbolic systems

Cited by 3 publications

References 39 publications

Stabilization of coupled delayed nonlinear time fractional reaction diffusion systems using sampled‐in‐space sensing and actuation

Stabilization of coupled delayed nonlinear time fractional reaction diffusion systems using sampled‐in‐space sensing and actuation

Nonlinear output feedback control laws based on linear ones for improving ultimate bound

Sampled-data observer-based nonlinear control for coupled semilinear fractional-order partial differential equation systems with time-varying delays

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