Event-triggered stabilisation of sampled-data singular systems: a hybrid control approach

Lin, Jinxing; Shi, Peng; Xiao, Min

doi:10.1080/00207179.2022.2124459

Cited by 6 publications

(1 citation statement)

References 53 publications

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“…(i) The proposed approach integrates the ET scheme that can achieve synchronization in finite time despite the presence of quantization and actuator saturation in the proposed neural networks. (ii) Compared to the sampled-data control scheme in [39], the paper develops an ET scheme under the actuator saturation scheme, which can save communication resources efficiently. The problems of FTS and MJTDNNs are discussed in this article, whose settling times do not depend on any initial values of the corresponding systems.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Synchronization of Quantized Markovian-Jump Time-Varying Delayed Neural Networks via an Event-Triggered Control Scheme under Actuator Saturation

Saravanan¹,

Vadivel

Gunasekaran

2023

Mathematics

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In this paper, we present a finite-time synchronization (FTS) for quantized Markovian-jump time-varying delayed neural networks (QMJTDNNs) via event-triggered control. The QMJTDNNs take into account the effects of quantization on the system dynamics and utilize a combination of FTS and event-triggered communication to mitigate the effects of communication delays, quantization error, and efficient synchronization. We analyze the FTS and convergence properties of the proposed method and provide simulation results to demonstrate its effectiveness in synchronizing a network of QMJTDNNs. We introduce a new method to achieve the FTS of a system that has input constraints. The method involves the development of the Lyapunov–Krasovskii functional approach (LKF), novel integral inequality techniques, and some sufficient conditions, all of which are expressed as linear matrix inequalities (LMIs). Furthermore, the study presents the design of an event-triggered controller gain for a larger sampling interval. The effectiveness of the proposed method is demonstrated through numerical examples.

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Section: Introductionmentioning

confidence: 99%

Finite-Time Synchronization of Quantized Markovian-Jump Time-Varying Delayed Neural Networks via an Event-Triggered Control Scheme under Actuator Saturation

Saravanan¹,

Vadivel

Gunasekaran

2023

Mathematics

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Aperiodic sampled‐data stabilization of switched singular systems with asynchronous switching: A hybrid control approach

Lin,

Wu,

Xiao

et al. 2024

Intl J Robust & Nonlinear

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This article investigates the sampled‐data stabilization problem for a class of switched singular systems with aperiodic sampling. The asynchronous switching between the plant and the switched controller caused by sampling is considered. Unlike normal systems, the conventional zero‐order hold type sampled‐data control law may be inapplicable to singular systems. This is because under that control law, the algebraic equations of singular systems may have no solutions at sampling instants. To cope with this problem, a new hybrid control law composed of a mode‐dependent impulsive controller and a mode‐dependent sampled‐data state feedback controller is devised. The impulsive controller adjusts the values of differential substate at sampling instants so that the algebraic equations are solvable. Then, by constructing a novel piecewise sampling‐time‐dependent Lyapunov function and using the average dwell time method as well as convex technique, a sampling‐range‐dependent sufficient condition for exponential stability of the resulting closed‐loop system is established. Moreover, an optimization‐based method is proposed to solve the hybrid controller gains. Simulation results on two examples including a mechanical arm system show the effectiveness of the proposed control method.

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Impulsive observer-based admissibilization for delayed degenerate jump systems and application to DCM-IP device

Liu

Zhuang

Xie

et al. 2023

Nonlinear Analysis: Hybrid Systems

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Event-triggered stabilisation of sampled-data singular systems: a hybrid control approach

Cited by 6 publications

References 53 publications

Finite-Time Synchronization of Quantized Markovian-Jump Time-Varying Delayed Neural Networks via an Event-Triggered Control Scheme under Actuator Saturation

Finite-Time Synchronization of Quantized Markovian-Jump Time-Varying Delayed Neural Networks via an Event-Triggered Control Scheme under Actuator Saturation

Aperiodic sampled‐data stabilization of switched singular systems with asynchronous switching: A hybrid control approach

Impulsive observer-based admissibilization for delayed degenerate jump systems and application to DCM-IP device

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