Observer-Based Finite-Time Fuzzy H∞ Control for Markovian Jump Systems with Time-Delay and Multiplicative Noises

Liu, Xikui; Wei, Xuexue; Li, Yan

doi:10.1007/s40815-023-01463-8

Cited by 3 publications

(1 citation statement)

References 44 publications

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“…With the popularization of digital controllers and the development of computer science and technology, the research on discrete-time systems has attracted much attention. Discrete-time MJSs provide a framework for modeling and analyzing a variety of complex systems in the real world [42]. Through the discrete description of the system, it is easier to analyze the dynamic behavior, stability, and convergence of the system [43].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Guo,

Li,

Liu

2024

Entropy

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This paper concentrates on the finite-time H∞ control problem for a type of stochastic discrete-time Markovian jump systems, characterized by time-delay and partly unknown transition probabilities. Initially, a stochastic finite-time (SFT) H∞ state feedback controller and an SFT H∞ observer-based state feedback controller are constructed to realize the closed-loop control of systems. Then, based on the Lyapunov–Krasovskii functional (LKF) method, some sufficient conditions are established to guarantee that closed-loop systems (CLSs) satisfy SFT boundedness and SFT H∞ boundedness. Furthermore, the controller gains are obtained with the use of the linear matrix inequality (LMI) approach. In the end, numerical examples reveal the reasonableness and effectiveness of the proposed designing schemes.

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Section: Introductionmentioning

confidence: 99%

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Guo,

Li,

Liu

2024

Entropy

Self Cite

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Dissipative Constraint-Based Saturation Control for Fuzzy Markov Jump Systems Within a Finite-Time Interval

Kavikumar,

Kaviarasan,

Kwon

et al. 2024

Int. J. Fuzzy Syst.

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Quantization-Based Event-Triggered H∞ Consensus for Discrete-Time Markov Jump Fractional-Order Multiagent Systems with DoS Attacks

Lu,

Wu,

Wang

et al. 2024

Fractal Fract

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This paper investigates the H∞ consensus problem of discrete-time Markov jump fractional-order multiagent systems (DTMJFOMASs) under denial-of-service (DoS) attacks. By applying the short-memory principle, we can obtain discrete-time Markov jump multiagent systems with partially unknown probabilities. A novel quantized event-triggering mechanism (QETM), based on a mode-dependent logarithmic quantizer, is proposed to enhance transmission efficiency among multiagents. A distributed controller with quantized output is developed. Sufficient conditions are provided to ensure the system achieves H∞ consensus through Lyapunov stability theory. Finally, two examples are given to verify the effectiveness of the proposed model.

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Observer-Based Finite-Time Fuzzy H∞ Control for Markovian Jump Systems with Time-Delay and Multiplicative Noises

Cited by 3 publications

References 44 publications

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Finite-Time H∞ Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Dissipative Constraint-Based Saturation Control for Fuzzy Markov Jump Systems Within a Finite-Time Interval

Quantization-Based Event-Triggered H∞ Consensus for Discrete-Time Markov Jump Fractional-Order Multiagent Systems with DoS Attacks

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