Robust  control for a class of non‐linear discrete time‐delay systems with controller failure: a probability‐dependent method

Nie, Hong; Sang, Hong; Li, Ping

doi:10.1049/iet-cta.2017.0703

Cited by 5 publications

(3 citation statements)

References 28 publications

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“…This kind of method is also employed to deal with controller failure. For switched systems, constrained switching strategies include time‐dependent switching, state‐dependent switching, and probability‐dependent switching…”

Section: Introductionmentioning

confidence: 99%

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Zhang

Nie

2020

Adaptive Control & Signal

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Summary This article addresses the passivity analysis and asynchronous feedback passification problems for a class of discrete‐time switched systems with dwell time constraint. By exploiting dwell time‐dependent storage functions, a state‐dependent switching strategy obeying a dwell time constraint is constructed, and the solvability conditions for asynchronous feedback passification are developed in the form of linear matrix inequalities (LMIs). Moreover, the dwell time‐dependent asynchronous passive controllers are formulated simultaneously. It has been shown that the derived results are also applicable to the studies of passivity and synchronous feedback passification for discrete‐time switched systems under the combined switching strategy. Finally, a three‐tank system as a practical example is also provided to illustrate the applicability and effectiveness of our theoretic findings.

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Section: Introductionmentioning

confidence: 99%

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Zhang

Nie

2020

Adaptive Control & Signal

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“…On the other hand, discrete‐time systems have received widespread attention during the past three decades. Many control systems are controlled by digital computers which make the research of discrete‐time systems be more theoretical and practical . For example, Nie et al investigated robust H ∞ control by a probability‐dependent method.…”

Section: Introductionmentioning

confidence: 99%

“…Many control systems are controlled by digital computers which make the research of discrete‐time systems be more theoretical and practical . For example, Nie et al investigated robust H ∞ control by a probability‐dependent method. In the work of Liu et al, by constructing an augmented Lyapunov function, some sufficient conditions guaranteeing the exponential stabilization are established in forms of linear matrix inequality (LMI).…”

Section: Introductionmentioning

confidence: 99%

Controlling the discrete‐time conic‐type nonlinear system by a time‐delayed robust controller

Dong

2019

Optim Control Appl Methods

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Summary This paper investigates the robust H∞ controller design problem for a class of discrete‐time conic‐type nonlinear systems with time delays and uncertainties. We aim to design a time‐delayed feedback control law such that the closed‐loop conic‐type nonlinear system is asymptotically stable and satisfies the given H∞ performance index from the controlled output to the external disturbance. By selecting a proper Lyapunov function, sufficient conditions related to the H∞ stabilization are formulated in the form of linear matrix inequalities. Finally, a simulation example is employed to demonstrate the effectiveness of the proposed methods.

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Robust fault detection for switched systems with unstable modes: A bumpless transfer piecewise filtering approach

Liang,

Gao,

Yao

2024

Intl J Robust & Nonlinear

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This investigation addresses the bumpless transfer fault detection (FD) problem within switched systems that possess unstable modes. A switched piecewise FD filter is developed as a residual generator by segmenting each dwell time interval. The transition between different filters precipitates pronounced, abrupt jumps in the residual signal. Consequently, a novel definition of the residual bumpless transfer performance is introduced to constrain the magnitude of residual fluctuations during switching instances. Additionally, an alternating switching strategy—characterized by slow and fast mode‐dependent average dwell time and supported by the multiple discontinuous Lyapunov function method—is devised to assure the asymptotic stability and the weighted performance of the augmented system. Concurrently, sufficient conditions for the solvability of the bumpless transfer FD problem are articulated in the form of linear matrix inequalities. Lastly, a switched buck‐boost circuit and a numerical example are presented to substantiate the merits of the proposed bumpless transfer piecewise filtering method.

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Robust control for a class of non‐linear discrete time‐delay systems with controller failure: a probability‐dependent method

Cited by 5 publications

References 28 publications

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Controlling the discrete‐time conic‐type nonlinear system by a time‐delayed robust controller

Robust fault detection for switched systems with unstable modes: A bumpless transfer piecewise filtering approach

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