一类马尔可夫跳变非线性系统的H∞分析

2011 IEEE GCC Conference and Exhibition (GCC) Pub Date : 2011-04-19 DOI:10.1109/IEEEGCC.2011.5752611

A. Abolmasoumi, S. Delshad, H. Momeni

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引用次数: 0

摘要

研究具有Lipchitz型非线性的马尔可夫跳变非线性系统的H-inf分析问题。给出了用线性矩阵不等式表示扰动衰减的充分条件，保证了鲁棒随机均方稳定性。设计过程假定一个规定的干扰衰减水平，并使用基于模式的李雅普诺夫函数。最后给出了一个数值算例，说明了该方法的有效性。

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H∞ analysis for a class of Markov jump nonlinear systems

The problem of H-inf analysis for Markov jump nonlinear systems with Lipchitz type nonlinearity is considered. A sufficient condition for disturbance attenuation in terms of linear matrix inequalities is developed which ensures robust stochastic mean square stability. The design process assumes a prescribed level of disturbance attenuation and uses a mode based Lyapunov function. A numerical example is also provided to show the effectiveness of our approach.

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2011 IEEE GCC Conference and Exhibition (GCC)

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