Finite-Time Stabilization of Markov Switching Singularly Perturbed Models
- Authors
- Qi, Wenhai; Zhang, Can; Zong, Guangdeng; Ahn, Choon Ki; Yan, Huaicheng
- Issue Date
- 8월-2022
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Singularly perturbed systems; asymptotic stability; transient performance; finite-time stability
- Citation
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, v.69, no.8, pp.3535 - 3539
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
- Volume
- 69
- Number
- 8
- Start Page
- 3535
- End Page
- 3539
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/143336
- DOI
- 10.1109/TCSII.2022.3164686
- ISSN
- 1549-7747
- Abstract
- This brief is concerned with the issue of finite-time stabilization of discrete-time stochastic singularly perturbed models, in which the stochastic process is regulated by a Markov chain with partially unknown transition probabilities (TPs). The slow-state and fast-state variable are considered in the modeling, and the corresponding Markov switching model with a singularly perturbed parameter is obtained in a unified framework. Ill-conditioned problems caused by a small singular perturbation parameter are prevented by developing a finite-time stability criterion for the resultant system. Furthermore, feasible conditions are derived for the desired finite-time state feedback controller by using matrix inequalities that are independent of the singularly perturbed parameter. Finally, a gear-driven DC motor model is applied to illustrate the effectiveness of the described control strategy.
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