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.

研究了具有参数不确定性的非线性切换奇摄动系统的无源滤波器设计问题。首先，通过在植物中引入奇异摄动参数来有效解决多时标现象。其次，采用区间2型模糊集理论，其中参数不确定性用隶属函数而不是系统矩阵表示。值得注意的是，所设计的滤波器的区间类型2模糊集不同于工厂，这使得滤波器的设计更加灵活。第三，持久性驻留时间切换规则作为一种与时间相关的切换规则，用于管理非线性奇异摄动子系统之间的切换，该规则比驻留时间和平均驻留时间切换规则更为通用。接下来，提供足够的条件来保证滤波误差系统具有被动性能，全局均匀地指数稳定。此外，基于线性矩阵不等式，可以获得所设计滤波器的明确表达式。最后，以隧道二极管电子电路为例，说明所开发滤波器的正确性和有效性。