时变时滞中立型随机混合系统的非脆弱H∞控制

Guici Chen, Shengchun Yu
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引用次数: 0

摘要

研究了一类具有时变时滞中立型随机混合系统的鲁棒非脆弱H∞控制问题。首先,用线性矩阵不等式(lmi)的形式给出了时滞相关的随机马尔可夫跳跃有界实引理。其次,在有界实数引理的基础上,利用Lyapunov-Krasovskii泛函及其Itô导数,给出了具有可加性和乘性控制器不确定性的标称中立型时变时滞随机混合系统和具有时变时滞中立型随机混合系统非脆弱H∞控制可解性的时滞相关充分条件。期望状态反馈控制器可以通过求解一些特定的lmi得到。最后通过数值算例验证了所得结果的正确性和所提方法的有效性。
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Non-fragile H∞ control for neutral stochastic hybrid systems with time-varying delay
The robust non-fragile H∞ control problems for neutral stochastic hybrid systems with time-varying delay are studied in this paper. Firstly, a delay-dependent stochastic Markovian jumping bounded real lemma is presented in terms of linear matrix inequalities(LMIs). Secondly, based on the bounded real lemma, for both the case of additive and multiplicative controller uncertainties, delay-dependent sufficient conditions for the solvability of non-fragile H∞ control for nominal neutral stochastic hybrid systems with time-varying delay and neutral stochastic hybrid systems with time-varying delay are derived by taking a Lyapunov-Krasovskii functional and its Itô derivative. The desired state feedback controller can be developed by solving some certain LMIs. At last, a numerical example is given to show the validity of the obtained results and the effectiveness of the proposed method.
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