A dwell time approach for the stabilization of mixed Continuous/Discrete switched systems

Taousser, Fatima Zohra; Djouadi, Seddik M.; Tomsovic, Kevin

doi:10.1016/j.automatica.2022.110386

Cited by 8 publications

(4 citation statements)

References 16 publications

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“…However, so as to remove uncertainties in matrix (32), it needs to be isolated before being eliminated. According to the Lemma 1 and combining the formula ( 5) with (11), to get rid of the quantization error △ u (t), the inequation (32) should be settled into…”

Section: Hybrid Dof Controllers Designmentioning

confidence: 99%

“…While the arbitrarily switching can handle a larger class of switching signals, it requires the existence of a fairly conservative public Lyapunov function, which may not be possible 8 . For this reason, the dwell time (DT) 9 and average dwell time (ADT) switching 10 strategies as two important time‐depended schemes of constrained switching have been popularly utilized for the purpose of analyzing the stability and integrating control issues of switched systems 11,12 and ISSs. To mention a few, by virtue of the DT notion, diverse conditions in Reference 13 have been obtained, which are concerned with the stability and stabilization of linear positive impulsive systems and linear positive switched systems.…”

Section: Introductionmentioning

confidence: 99%

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Quantized H∞$$ {H}_{\infty } $$ output feedback control for uncertain impulsive switched systems via a hybrid control approach

Mao,

Zhu,

Zheng

2023

Adaptive Control & Signal

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SummaryThis article investigates the quantized dynamical output feedback (DOF) control problem for uncertain impulsive switched systems (ISSs) with multiple state impulsive jumps, where the static quantization strategy is applied to quantize the control input to improve the signal transmission capacity of ISSs. First, to correspond the abrupt changes for states of ISSs at switching moments, the controller states are also allowed to jump besides the system state jumps of ISSs, which increases the universality of the impulsive behavior in ISSs. Second, the multiple Lyapunov functions approach and the average dwell time switching strategy are applied to derive the sufficient conditions that guarantee the stability and weighted performance of the closed‐loop uncertain ISSs. The desired hybrid controllers comprising of DOF controllers for every subsystem and controller state update rules at switching instants can be constructed by solving a set of linear matrix inequalities. Finally, a numerical example is provided to verify the effectiveness of the obtained results.

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Section: Hybrid Dof Controllers Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantized H∞$$ {H}_{\infty } $$ output feedback control for uncertain impulsive switched systems via a hybrid control approach

Mao,

Zhu,

Zheng

2023

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…In Reference 6, a set of composite copositive Lyapunov functions was adopted for analyzing the stability of switched systems with unstable subsystems. In Reference 7, a new dwell time condition was derived to stabilize the continuous/discrete switched systems. Moreover, utilizing physical links to collect and transmit data has the natural limitations, 8 the introduction of network can break this bottleneck 9 .…”

Section: Introductionmentioning

confidence: 99%

Optimal security control for networked switched systems with a state‐prediction‐based anti‐DoS mechanism

Geng

Xing

et al. 2023

Intl J Robust & Nonlinear

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The openness of networks renders them vulnerable to various forms of attacks.When networked switched systems (NSS) suffer from denial of service (DoS) attacks and delays, the real-time property of the dataset decreases, greatly affecting the control performance. To address this issue, this article proposes a switched adaptive dynamic programming (ADP) predictive control method.An event-triggered mechanism is designed to reduce unnecessary waste of network transmission resources. A predictive mechanism is designed to accurately reconstruct the missing system state and switching signal under DoS network attacks. Then, the reconstructed data are applied to train the actor and critic neural networks, which are used to approximate the optimal control policy and performance index function (PIF) of the NSS, respectively. Furthermore, the iterative convergence of the switched ADP algorithm is proved. Finally, a numerical example is provided to verify the effectiveness of the proposed method.

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“…Meanwhile, switching topologies have more advantages in reflecting complex and changeable information for communication network such as the failure of information transmission (Bu et al, 2022; Li et al, 2020a; Xiao and Dong 2021; He and Zhao 2022) and external disturbance (Yang et al, 2018; Feng et al, 2020). A new control protocol based on the dwell time approaches exploited the stabilization problem for a class of switched systems between a continuous-time and a discrete-time subsystem with variable discrete steps in (Taousser et al, 2022). In (Li et al, 2020a), dynamic containment control and static containment control schemes based on the linear matrix inequality method are utilized to solve the synthesis problem for MASs with semi-Markovian switching topologies.…”

Section: Introductionmentioning

confidence: 99%

Distributed convex optimization of higher order nonlinear uncertain multi-agent systems with switched parameters and topologies

Yang

Yuan

Chen

et al. 2023

Journal of Vibration and Control

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This paper investigates the distributed optimization problem for a class of nonlinear uncertain multi-agent systems with unmeasured states, switched parameters, and directed communication topologies changing in the control process. To achieve the goal of optimizing the global objective function, a penalty function is constructed through making up of a sum of local objective functions and integrating consensus conditions of the multi-agent systems to utilize local and neighboring information. Radial basis function neural-networks and neural-networks state observer are applied to approximate the unknown nonlinear functions and obtain the unmeasured states, respectively. To avoid “explosion of complexity” and obtain derivatives for virtual control functions continuously, dynamic surface control technology is proposed to develop a distributed adaptive backstepping neural network control protocol to ensure that all the agents’ outputs asymptotically reach consensus to the optimal solution of the global objective function. Simulations demonstrate the effectiveness of the proposed control scheme.

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A dwell time approach for the stabilization of mixed Continuous/Discrete switched systems

Cited by 8 publications

References 16 publications

Quantized H∞$$ {H}_{\infty } $$ output feedback control for uncertain impulsive switched systems via a hybrid control approach

Quantized H∞$$ {H}_{\infty } $$ output feedback control for uncertain impulsive switched systems via a hybrid control approach

Optimal security control for networked switched systems with a state‐prediction‐based anti‐DoS mechanism

Distributed convex optimization of higher order nonlinear uncertain multi-agent systems with switched parameters and topologies

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