Finite-Time H<sub>∞</sub> Robust Controller Design for a Class of Singular Discrete-Time Markov Jump Delay Systems With Packet Loss Compensation and Input Saturation

Zhao, Junjie; Li, Bo

doi:10.1109/access.2022.3208136

Cited by 2 publications

(3 citation statements)

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“…Problem Statement: For a given semi-Markov flexible robotic arm system suffering from DoS attacks in ( 5), the dynamic event-triggered controller is designed in (19), so that the resulting system in ( 20) is asymptotically stable with a H ∞ performance. Lemma 3.…”

Section: Network Control Based On Dynamic Event-triggered Schemementioning

confidence: 99%

“…On the other hand, the occurrence of a time-delay phenomenon also causes instability or oscillation of the system, thus increasing the difficulty of system stability analysis. For a type of discrete Markovian jump system that suffers from random packet loss and time-varying delays, Zhao et al addressed the finite time

robust control issue in their work [ 19 ]. Regarding the uncertain discrete Markov jump time-varying delay polyhedron system, Shi et al [ 20 ] used Lyapunov functional theory and convex polyhedron technique, to provide the random admissibility of the generalized model error augment system.…”

Section: Introductionmentioning

confidence: 99%

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Improved Dynamic Event-Triggered Robust Control for Flexible Robotic Arm Systems with Semi-Markov Jump Process

Zhang

Chen

et al. 2023

Sensors

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In this paper, we investigate the problem of a dynamic event-triggered robust controller design for flexible robotic arm systems with continuous-time phase-type semi-Markov jump process. In particular, the change in moment of inertia is first considered in the flexible robotic arm system, which is necessary for ensuring the security and stability control of special robots employed under special circumstances, such as surgical robots and assisted-living robots which have strict lightweight requirements. To handle this problem, a semi-Markov chain is conducted to model this process. Furthermore, the dynamic event-triggered scheme is used to solve the problem of limited bandwidth in the network transmission environment, while considering the impact of DoS attacks. With regard to the challenging circumstances and negative elements previously mentioned, the adequate criteria for the existence of the resilient H∞ controller are obtained using the Lyapunov function approach, and the controller gains, Lyapunov parameters and event-triggered parameters are co-designed. Finally, the effectiveness of the designed controller is demonstrated via numerical simulation using the LMI toolbox in MATLAB.

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Section: Network Control Based On Dynamic Event-triggered Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improved Dynamic Event-Triggered Robust Control for Flexible Robotic Arm Systems with Semi-Markov Jump Process

Zhang

Chen

et al. 2023

Sensors

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“…SMJSs can be used for modeling, as a type of stochastic hybrid system, which can also be employed in the modeling of actual systems. There has been a notable emergence of significant findings pertaining to the filtering challenges within the domain of SMJSs, such as stability research on SMJSs [7], time-delay problem [8], and design results of controllers and observers [9]- [11].…”

Section: Introductionmentioning

confidence: 99%

H∞ Filtering for Discrete-Time Singular Markov Jump Systems Under DoS Attacks and Its Application

Chen,

Wang,

2024

IEEE Access

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This study addresses H ∞ filtering amidst DoS attacks within the framework of singular Markov jump systems. To provide a more comprehensive depiction of the issue pertaining to cyber security, DoS attacks are perceived as occurring in an unpredictable manner and can be represented by a collection of random variables that follow the Bernoulli distribution. Consequently, the corresponding filter error system is formulated. Utilizing a set of viable linear matrix inequalities, this research establishes criteria of stochastically admissible for filter error system, ensuring a specified H ∞ performance. A filter design method under DoS attack is proposed. Finally, this method's efficacy is displayed through a practical example involving a tunnel diode model. INDEX TERMSBernoulli distribution, singular Markov jump system, Denial of service (DoS) attack, tunnel diode model.

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Finite-Time H_∞ Robust Controller Design for a Class of Singular Discrete-Time Markov Jump Delay Systems With Packet Loss Compensation and Input Saturation

Cited by 2 publications

References 34 publications

Improved Dynamic Event-Triggered Robust Control for Flexible Robotic Arm Systems with Semi-Markov Jump Process

Improved Dynamic Event-Triggered Robust Control for Flexible Robotic Arm Systems with Semi-Markov Jump Process

H∞ Filtering for Discrete-Time Singular Markov Jump Systems Under DoS Attacks and Its Application

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Finite-Time H∞ Robust Controller Design for a Class of Singular Discrete-Time Markov Jump Delay Systems With Packet Loss Compensation and Input Saturation

Cited by 2 publications

References 34 publications

Improved Dynamic Event-Triggered Robust Control for Flexible Robotic Arm Systems with Semi-Markov Jump Process

Improved Dynamic Event-Triggered Robust Control for Flexible Robotic Arm Systems with Semi-Markov Jump Process

H∞ Filtering for Discrete-Time Singular Markov Jump Systems Under DoS Attacks and Its Application

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Finite-Time H_∞ Robust Controller Design for a Class of Singular Discrete-Time Markov Jump Delay Systems With Packet Loss Compensation and Input Saturation