<i>H<sub>∞</sub></i> controller design for singular Markov jump systems with time-delays-Reference-Cited by-同舟云学术

H_∞ controller design for singular Markov jump systems with time-delays

Published:2022-04-21 Issue:8 Volume:236 Page:1566-1577
ISSN:0959-6518
Container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

Author:

Zhou Juan¹,Lai Huiling¹^ORCID,Liu Cuoyi¹,Men Bo²

Affiliation:

1. The College of Science, Northeastern University, Shengyang, P.R. China

2. The School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, P.R. China

Abstract

In this article, the [Formula: see text] control problem of a class of singular Markov jump systems with time-varying inputs and state delays is investigated. Based on the Lyapunov stability theory, by constructing a different Lyapunov–Krasovskii functional, the sufficient conditions of being stochastic stable and having H∞ performance index are given. Then, the design method of state feedback controller is given to ensure the closed-loop system is stochastic stable and has [Formula: see text] performance index. Finally, simulation examples are given to verify the effectiveness of the proposed methods.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Control and Systems Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/09596518221091027

Reference29 articles.

1. Stabilisation and H∞ control of neutral stochastic delay Markovian jump systems

2. Finite‐time asynchronous control for positive discrete‐time Markovian jump systems

3. Stability and stabilization analysis of Markovian jump systems with generally bounded transition probabilities

4. Resilient extended dissipative control for Markovian jump systems with partially known transition probabilities under actuator saturation

5. Extended Dissipative Control for Markovian Jump Time-Delayed Systems with Bounded Disturbances

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quantized control for Markovian jump systems with general transition rates against multiple attacks via intermediate-observers;Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering;2024-05-21

2. Observer-based finite-time H∞ control for discrete-time singular Markovian jump systems with asynchronous modes;Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering;2024-04-01

3. Synthesis of ℋ∞ Control for Descriptor Hybrid Systems with Actuator Saturation;Machines;2024-01-05

4. Asynchronous control for Markov jump systems subject to actuator saturation and partial mode information;Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering;2023-05-13

5. Finite-Time Static Output-Feedback H∞ Control for Discrete-Time Singular Markov Jump Systems Based on Event-Triggered Scheme;Mathematical and Computational Applications;2022-12-20