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Finite-Time IH/I[sub.∞] Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities

Entropy (Basel, Switzerland), 2024-04, Vol.26 (4) [Peer Reviewed Journal]

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Title:
Finite-Time IH/I[sub.∞] Controllers Design for Stochastic Time-Delay Markovian Jump Systems with Partly Unknown Transition Probabilities
Author: Guo, Xinye ; Li, Yan ; Liu, Xikui
Subjects: Cost control
Is Part Of: Entropy (Basel, Switzerland), 2024-04, Vol.26 (4)
Description: This paper concentrates on the finite-time H[sub.∞] 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[sub.∞] state feedback controller and an SFT H[sub.∞] 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[sub.∞] 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.
Publisher: MDPI AG
Language: English
Identifier: ISSN: 1099-4300
EISSN: 1099-4300
DOI: 10.3390/e26040292
Source: Open Access: PubMed Central
DOAJ Directory of Open Access Journals
Geneva Foundation Free Medical Journals at publisher websites
AUTh Library subscriptions: ProQuest Central
ROAD: Directory of Open Access Scholarly Resources

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