Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design

Amato, Francesco; Ariola, M.; Cosentino, Carlo

doi:10.1109/tac.2010.2041680

Cited by 268 publications

(124 citation statements)

References 11 publications

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“…17 So far, some attempts on the finite-time control have been conducted. [18][19][20][21][22][23][24][25] However, to the best of authors' knowledge, no results for utilizing the event-driven communication scheme are reported in the finite-time control sense, which motivates us for this study.…”

Section: Introductionmentioning

confidence: 99%

Non-uniform sampling finite-time control for networked control systems via event-driven transmission

Liu

2016

Advances in Mechanical Engineering

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This article investigates the networked finite-time control problem for a class of continuous-time linear systems. A novel event-driven data transmission scheme is invoked to reduce the network loads. Moreover, the non-uniform sampling triggered by sampling jitter or the fault of hold circuits is taken into account. By employing an input-delay approach, the underlying system is first reformulated to linear system with time-varying delays. Based on the Lyapunov-Krasovskii functional method, the stabilizing controller is then designed in the finite-time control sense, such that the closed-loop system is finite-time bounded. Potential and advantage of the developed techniques are demonstrated by a numerical example and an application to damping boring bar system.

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Section: Introductionmentioning

confidence: 99%

Non-uniform sampling finite-time control for networked control systems via event-driven transmission

Liu

2016

Advances in Mechanical Engineering

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“…In most existing literature, finite-time stability has received increasing attention and the concept of finite-time stability was proposed in practical processes, such as avoiding saturation or the excitation of nonlinear dynamics during the transient [22,23]. Different from the classical Lyapunov stability concept, finite-time stability is defined as the behavior of the dynamical systems that can be tracked over a fixed finite-time interval, that is, the system state does not exceed a certain bound during a fixed finite-time interval.…”

Section: Introductionmentioning

confidence: 99%

Finite-time event-triggered control and fault detection for singular Markovian jump mixed delay systems under asynchronous switching

Zhong

Cheng

2018

Adv Differ Equ

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This paper considers the problem of the simultaneous finite-time event-triggered control and fault detection for a class of continuous-time singular Markovian jump mixed delay systems (SMJDSs) under asynchronous switching. In order to develop the control and detection objectives, the mode-dependent fault detection filters and dynamic feedback event-triggered-based controllers are designed and the switching signal between the detector/controller unit and subsystems is assumed to be asynchronous. Based on average dwell time (ADT) techniques, some new sufficient conditions for the existence of fault detection/controller unit are presented in the framework of linear matrix inequalities (LMIs) to ensure the control system has singular stochastic finite-time stability (SSFTS). Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

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“…In terms of LMI technique, some sufficient conditions were given in [36] for the uncertain discrete singular systems to be finite-time stable and stabilizable. For more results about the finite-time stability, the readers can refer to [37][38][39][40][41][42] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Vibration Control of Earthquake Excited Linear Structures with Input Time-Delay and Saturation

Weng

Ding

et al. 2014

Journal of Low Frequency Noise, Vibration and Active Control

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The problem of finite-time vibration control of earthquake excited linear structures with input time-delay and saturation is concerned in this paper. The objective of designing controllers is to guarantee the finite-time stability of closed-loop systems while attenuating earthquake-induced vibration of the structures. First, based on matrix transformation, the structural system is described as a state-space model, which contains actuator saturation and input time-delay. Then, based on a Lyapunov functional and finite-time stability analysis method, some sufficient conditions for the existence of saturationtolerant finite-time vibration-attenuation controllers are obtained. By solving these conditions, the desired controllers can be obtained for the closed-loop system to be finite-time stable with a prescribed level of disturbance attenuation. It is shown by the simulation results that compared with some Lyapunov asymptotic stability results, finite-time stability control can result in better state responses. Furthermore, saturation-tolerant controller can result in a much lower controller gain than the ones without considering actuator saturations.

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Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design

Cited by 268 publications

References 11 publications

Non-uniform sampling finite-time control for networked control systems via event-driven transmission

Non-uniform sampling finite-time control for networked control systems via event-driven transmission

Finite-time event-triggered control and fault detection for singular Markovian jump mixed delay systems under asynchronous switching

Finite-Time Vibration Control of Earthquake Excited Linear Structures with Input Time-Delay and Saturation

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