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

X. Zhang; Y. Yin; H. Wang; S. He

doi:10.1049/cth2.12031

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

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

X. Zhang, Y. Yin, H. Wang and S. He

IET Control Theory & Applications, Vol.15(4), pp.489-498

2020

DOI: https://doi.org/10.1049/cth2.12031

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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.

Details

Title: Finite‐time dissipative control for time‐delay Markov jump systems with conic‐type non‐linearities under guaranteed cost controller and quantiser
Authors/Creators: X. Zhang (Author/Creator) - Anhui University
Y. Yin (Author/Creator) - Curtin University
H. Wang (Author/Creator) - Murdoch University
S. He (Author/Creator) - Anhui University
Publication Details: IET Control Theory & Applications, Vol.15(4), pp.489-498
Publisher: John Wiley & Sons Ltd
Identifiers: 991005541795107891
Murdoch Affiliation: School of Engineering and Energy
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration; International collaboration
Citation topics: 4 Electrical Engineering, Electronics & Computer Science; 4.29 Automation & Control Systems; 4.29.30 Robust Control Systems
Web Of Science research areas: Automation & Control Systems; Engineering, Electrical & Electronic; Instruments & Instrumentation
ESI research areas: Engineering