Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser

Autor: Xiang Zhang, Yanyan Yin, Hai Wang, Shuping He
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: IET Control Theory & Applications, Vol 15, Iss 4, Pp 489-498 (2021)
Druh dokumentu: article
ISSN: 1751-8652
1751-8644
DOI: 10.1049/cth2.12031
Popis: Abstract For a class of conic‐type non‐linear time‐delay Markov jump systems, the asynchronous dissipative output feedback controller based on the guaranteed cost control and quantiser is designed in this study. In real applications, the system and the controller modes are always non‐synchronous, so we introduce the hidden Markov model to solve this problem. Furthermore, we define three novel auxiliary variables and use quantisers to accomplish the output feedback controller design. Then, the finite‐time boundedness and strict dissipativity of the closed‐loop systems are guaranteed by sufficient conditions, and the controller also meets the guaranteed cost‐control performance. By solving a set of linear matrix inequalities, we get the controller gains, the guaranteed cost control performance index J*, and the dissipative performance index α. Finally, the correctness and feasibility of this designed approach are demonstrated by a given example.
Databáze: Directory of Open Access Journals
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