H∞ state feedback control for fuzzy singular Markovian jump systems with constant time delays and impulsive perturbations

Qingyu Zhu, Zekun Wang, Y. Liu, Jingjuan Zhu, Yujing Pang, Yifan Wu, Guangming Zhuang
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Abstract

The purpose of this paper is to study H∞ state feedback control issue of Takagi-Sugeno (T-S) fuzzy singular Markovian jump system (FSMJS) with constant time delays and impulsive perturbations. Under framework of linear matrix inequalities (LMIs), new criteria are derived using a modified impulse instants correlative Lyapunov-Krasovskii (L-K) functional. Through these conditions, FSMJS with constant time delays and impulsive perturbations meet H∞ performance and achieve the stochastic admissibility. A practical suspension system is employed to illustrate feasibility of the approach.
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常时滞脉冲扰动模糊奇异马尔可夫跳变系统的H∞状态反馈控制
研究具有常时滞和脉冲扰动的Takagi-Sugeno (T-S)模糊奇异马尔可夫跳变系统(FSMJS)的H∞状态反馈控制问题。在线性矩阵不等式的框架下,利用改进的脉冲瞬间相关Lyapunov-Krasovskii (L-K)泛函导出了新的判据。通过这些条件,具有恒定时滞和脉冲扰动的FSMJS满足H∞性能并实现随机可容许性。以一个实际的悬架系统为例,说明了该方法的可行性。
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