期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 48, 期 12, 页码 2058-2069出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2017.2758381
关键词
Fuzzy Markovian jump systems; mixed H-infinity and passive control; nonfragile controller; singularly perturbed systems (SPSs)
资金
- NNSFC [61304066, 61703004, 61673339]
- National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2017R1A2B2004671]
- National Research Foundation of Korea [2017R1A2B2004671, 22A20130000136] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
This paper is concerned with the nonfragile H-infinity control problem for discrete-time fast sampling Markovian jump singularly perturbed nonlinear systems described by the Takagi-Sugeno fuzzy model. By utilizing singular perturbation theory, a singular perturbation parameter (SPP) independent, i.e., is an element of-independent, condition is derived to make sure the underlying closed-loop system's stability and a mixed H-infinity and passive performance gamma, simultaneously. The ill-conditioned case caused by SPP could be eliminated on the basis of such a condition. With the aid of the stochastic analysis approach, the desired controller gains can be obtained, where the nonfragile property is fully considered to improve the tolerance of controller. Furthermore, a technique is developed to estimate the upper bound of SPP is an element of in this paper by employing a useful inequality. The availability and practicability of the proposed design method are finally explained via a practical example of a tunnel diode circuit with a modified model and a numerical example.
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