【摘 要】
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The problem of designing a passive filter for nonlinear switched singularly perturbed sys-tems with parameter uncertainties is explored in this paper.Firstly,the multiple-time-scale phe-nomenon is settled effectively by introducing a singular perturbation
【机 构】
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AnHui Province Key Laboratory of Special Heavy Load Robot and School of Electrical and Information E
论文部分内容阅读
The problem of designing a passive filter for nonlinear switched singularly perturbed sys-tems with parameter uncertainties is explored in this paper.Firstly,the multiple-time-scale phe-nomenon 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 mem-bership 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 gen-eral 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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