<i>H</i><sub>∞</sub>control for networked switched systems with mixed switching law and an event-triggered communication mechanism

Qi, Yiwen; Xu, Xindi; Li, Xianling; Ke, Zhiwu; Liu, Qing

doi:10.1080/00207721.2020.1748746

Cited by 14 publications

(15 citation statements)

References 46 publications

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“…With the above preparations, the energy ratio function f (𝜉) and two switching curves can be obtained by using Equations (23) and (24). According to the analysis in Section 3, a state-dependent switching controller for system (26) is finally constructed by…”

Section: Partial-state Feedback Controlmentioning

confidence: 99%

“…In order to deal with the two above control constraints, we introduce a proper switching control strategy, such that the controlled system is converted to a switched system, thereby achieving stabilization by means of a switching law [22][23][24]. Compared with the common methods in some state-of-the-art literature, the proposed control strategy sufficiently utilizes the function of switching mechanism to gradually reduce the system energy, thus guaranteeing the asymptotic stability.…”

Section: Introductionmentioning

confidence: 99%

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A state‐dependent switching controller design approach for linear systems under control constraints

Chen

2022

IET Control Theory & Appl

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In the present work, a state-dependent switching controller design approach for controlled systems under control constraints is proposed. First, the controlled system with control gain parameters is converted into a single-degree-of-freedom vibration system by using an invertible transform. Second, based on the physical significance of the single-degreeof-freedom linear vibration systems, two pairs of gain parameters are properly chosen to obtain two subsystems with sufficiently small equivalent negative-damping coefficients and sufficiently large equivalent stiffness coefficient difference. Third, by introducing an identical invertible transform, two subsystems are converted into the form of vibration systems simultaneously. As such, it is reasonable to compare the two corresponding energy functions directly. Fourth, two switching lines with maximum and minimum energy ratio between two subsystems are derived to construct a state-dependent switching law. Combining the selected control gain parameters, a state-dependent switching controller is then designed for stabilizing the original controlled system with control constraints. In the end, the effectiveness and robustness of the developed control approach are illustrated by three numerical examples.

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Section: Partial-state Feedback Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A state‐dependent switching controller design approach for linear systems under control constraints

Chen

2022

IET Control Theory & Appl

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“…It should be pointed out that, in this study, the disturbance satisfying w k ∈ l 2e , rather than w k ∈ l 2 , as reported in some other literatures. [26][27][28] The advantages it brings about are mainly twofolds: (1) the requirement w k ∈ l 2 implies that the disturbance will converge to 0 when k → ∞, which is not the case in practice, where the disturbance are usually unknown and persistent. However, the proposed truncated l 2 disturbance can relax this constraint; (2) it allows the truncated dissipativity conditions to be developed in the following section to deal with the fault diagnosis issue from the disturbance and impulsive phenomena.…”

Section: Mixed Disturbance Insensitivity ( ∞ Performance)mentioning

confidence: 99%

Fault detection problem for discrete‐time impulsive system using mixed dissipativity approach

Yao

Wei

2022

Intl J Robust & Nonlinear

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This article studies the fault detection problem for a class of discrete‐time impulsive systems using mixed dissipativity theory. First, under the impulsive effects, a fault diagnosis observer is designed such that it is insensitive to disturbances, and sensitive to faults. Then, a mixed dissipativity concept is introduced to deal with impulsive effects, disturbances insensitivity condition and faults sensitive condition in one framework such that the impulsive error dynamic is dissipative with respect to the proposed mixed supply rate. Based on the proposed mixed supply rate, sufficient conditions are obtained to guarantee the dissipativity of the impulsive estimation error dynamic. Moreover, sufficient conditions are established for the existence of the desired fault observer. The corresponding solubility conditions for the designs of the desired observer are also obtained. Finally, simulation results are proposed to demonstrate the effectiveness of our proposed strategy.

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“…For switched systems analysis, the designing of switching law to orchestrate the activation sequence among finite subsystems is an important issue. For this problem, some design methods for switching laws have been proposed, which can be divided into time based 4‐6 and system performance based 7‐9 . However, in practical applications, it does not only need to consider the stability and performance of systems, but also the correspondingly required control energy.…”

Section: Introductionmentioning

confidence: 99%

Adaptive dynamic optimal control for triggered networked switched systems under dual‐ended denial‐of‐service attacks

Xing

et al. 2021

Intl J Robust & Nonlinear

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Networked switched systems (NSSs) have unique advantages, but the unreliability of networks, such as suffering from attacks, will reduce system performance. Besides, the required control energy to stabilize systems is not considered in existing switching signal design methods, which is worthy of improvement. In this paper, an energy function‐based resilient triggered switching law (EFB‐RTSL) is proposed for NSSs under dual‐ended denial‐of‐service (DoS) attacks and asynchronous switching. For the data communication under DoS attacks, a resilient switch‐triggering mechanism is designed that aims at reducing the unnecessary data transmission and the risk of switching signal being attacked. For the discontinuity of switching signal induced by DoS attacks, a combined structure of attacks‐triggered decision switch and buffer is constructed. Moreover, an integrated model is built to characterize the dual‐ended DoS attacks, and the maximum tolerance is given. The coupling between DoS attacking, synchronous, and asynchronous switching is clarified, which provides convenient conditions for stability analysis. Subsequently, the gains of subcontrollers are computed by a dynamic iterative algorithm. By utilizing the average dwell time and Lyapunov–Krasovskii functional technique, sufficient criteria are derived to ensure the stability of triggered NSSs when suffering from dual‐ended DoS attacks. At last, the effectiveness of proposed method is verified by a numerical simulation.

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H_∞control for networked switched systems with mixed switching law and an event-triggered communication mechanism

Cited by 14 publications

References 46 publications

A state‐dependent switching controller design approach for linear systems under control constraints

A state‐dependent switching controller design approach for linear systems under control constraints

Fault detection problem for discrete‐time impulsive system using mixed dissipativity approach

Adaptive dynamic optimal control for triggered networked switched systems under dual‐ended denial‐of‐service attacks

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H∞control for networked switched systems with mixed switching law and an event-triggered communication mechanism

Cited by 14 publications

References 46 publications

A state‐dependent switching controller design approach for linear systems under control constraints

A state‐dependent switching controller design approach for linear systems under control constraints

Fault detection problem for discrete‐time impulsive system using mixed dissipativity approach

Adaptive dynamic optimal control for triggered networked switched systems under dual‐ended denial‐of‐service attacks

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H_∞control for networked switched systems with mixed switching law and an event-triggered communication mechanism