期刊
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
卷 40, 期 9, 页码 4230-4245出版社
SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-021-01676-y
关键词
Singularly perturbed systems; Markovian jump systems; H-infinity; control; Linear matrix inequality
资金
- National Natural Science Foundation of China [61703447]
- Key Teachers Research Foundation of the Henan Higher Education Institutions of China [2019GGJS217, 2020GGJS217]
- Research Foundation of the Henan Higher Education Institutions of China [21A110027]
- Key Teachers Research Foundation of Zhoukou Normal University
This paper focuses on the H infinity control of Markovian jump linear singularly perturbed systems, providing a new sufficient condition based on linear matrix inequalities. The proposed method aims to effectively design the jump H infinity controller and evaluate the upper bound of the singular perturbation parameter. Two numerical examples are presented to demonstrate the effectiveness of the proposed design methods.
This paper studies H infinity control of Markovian jump linear singularly perturbed systems (MJLSPSs). A sufficient condition in terms of linear matrix inequalities (LMIs), different from ones in previous existing works, is given for designing H infinity control to overcome the difficulties of solving either Riccati equations or nonlinear matrix inequalities. Then, the jump H infinity controller can be obtained effectively by solving the proposed LMIs. Furthermore, a method is developed for evaluating an allowable upper bound of the singular perturbation parameter, in which a prescribed H infinity performance is satisfied. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed design methods.
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