期刊
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
卷 34, 期 6, 页码 2195-2218出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s11424-020-0106-9
关键词
Interval type-2 fuzzy model; passive filter; persistent dwell-time switching rule; singularly perturbed nonlinear systems
资金
- National Natural Science Foundation of China [61873002, 61703004, 61973199]
- Natural Science Foundation of Anhui Province [1808085QA18]
This paper explores the design of a passive filter for nonlinear switched singularly perturbed systems with parameter uncertainties. By introducing singular perturbation parameters and utilizing interval type-2 fuzzy set theory, a more flexible filter design is achieved to ensure system stability and performance. The use of persistent dwell-time switching rules and linear matrix inequalities further contribute to the effectiveness of the designed filter.
The problem of designing a passive filter for nonlinear switched singularly perturbed systems with parameter uncertainties is explored in this paper. Firstly, the multiple-time-scale phenomenon is settled effectively by introducing a singular perturbation parameter in the plant. Secondly, the interval type-2 fuzzy set theory is employed where parameter uncertainties are expressed in membership functions rather than the system matrices. It is worth noting that interval type-2 fuzzy sets of the devised filter are different from the plant, which makes the design of the filter more flexible. Thirdly, the persistent dwell-time switching rule, as a kind of time-dependent switching rules, is used to manage the switchings among nonlinear singularly perturbed subsystems, and this rule is more general than dwell-time and average dwell-time switching rules. Next, sufficient conditions are provided for guaranteeing that the filtering error system is globally uniformly exponentially stable with a passive performance. Furthermore, on the basis of the linear matrix inequalities, the explicit expression of the designed filter can be obtained. Finally, a tunnel diode electronic circuit is rendered as an example to confirm the correctness and the validity of the developed filter.
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