Finite-time State Feedback Annular Domain H<sub>∞</sub> Control for Discrete-time Markov Jump Systems
In this essay, the finite-time annular domain $H_{\infty}$ control issue is studied for discrete-time Markov jump systems (DTMJSs) with time-delay, using state feedback controller. Firstly, by employing Lyapunov-Krasovskii function and linear matrix inequality (LMI) technique, a sufficient condition is obtained to ensure that the closed-loop system is finite-time annular domain bounded (FTADB) and meets a certain disturbance attenuation index. Furthermore, the state feedback controller gains are presented via LMIs. Lastly, the feasibility of the designed method is confirmed via a numerical illustration.
Authors
- Ke Wang (ORCID: https://orcid.org/0000-0002-8306-1663)
- Yan Li (ORCID: https://orcid.org/0000-0001-7491-759X)
- Xikui Liu (ORCID: https://orcid.org/0000-0002-4509-9468)
Institutions
- Shandong University of Science and Technology (CN)
Publication Details
- Published
- 2024-12-20
- DOI
- https://doi.org/10.1109/ceect63656.2024.10898200
- Primary Topic
- Advanced Control Systems Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China