LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems
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摘要: 为了解决现有方法计算困难的问题,将LMI方法用于一类区间中立型系统的鲁棒稳定性分析.定义了一个新的Lyapunov-Krasovskii泛函,引入自由权矩阵表示Leibniz-Newton公式中各项相互关系,得到了线性矩阵不等式(LMIs)形式的时滞依赖鲁棒稳定判据.该判据将区间中立型系统的鲁棒稳定性问题转化为一类LMIs的可解问题.算例表明,所得结果提高了数值的边界,具有更小的保守性.
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关键词:
- 区间中立型系统 /
- 时滞依赖 /
- 鲁棒稳定性 /
- 线性矩阵不等式(LMI)
Abstract: The LMI(linear matrix inequality) approach was used to solve the difficulty in calculation with the present approaches for the robust stability analysis of a kind of interval neutral systems.A delay-dependent robust stability criterion in the form of LMIs was obtained by defining a new Lyapunov-Krasovskii functional and introducing free weighting matrices to describe the relationships among the terms in the Leibniz-Newton formula.As a result,the robust stability problem for interval neutral systems is transformed into a solvability problem for a class of LMIs.Two numerical examples were given to demonstrate the validity of the proposed approach. -
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