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Robust stability of uncertain discrete-time singular fuzzy systems

机译:不确定离散时间奇异模糊系统的鲁棒稳定性

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摘要

This paper considers the problem of robust stability analysis of uncertain discrete-time singular fuzzy systems described by a class of extended Takagi-Sugeno fuzzy dynamic models with time-varying norm-bounded parameter uncertainties. A sufficient condition ensuring a discrete singular fuzzy system to be regular, causal and stable is proposed in terms of a set of linear matrix inequalities. Based on this, a robust stability condition is obtained. Both of these conditions can be checked by using recently developed algorithms in solving LMIs. Examples are provided to demonstrate the reduced conservatism and effectiveness of the proposed conditions.
机译:本文考虑了一类具有时变范数有界参数不确定性的扩展Takagi-Sugeno模糊动态模型所描述的不确定离散时间奇异模糊系统的鲁棒稳定性分析问题。根据一组线性矩阵不等式,提出了一个确保离散奇异模糊系统规则,因果和稳定的充分条件。基于此,获得了鲁棒的稳定性条件。可以通过使用最新开发的算法来解决LMI来检查这两个条件。提供了一些示例来说明所提出条件的保守性和有效性降低。

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