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基于T-S模糊模型的不确定时滞系统鲁棒L_1滤波 被引量：7

Robust L_1 filtering for uncertain time-delay systems based on T-S fuzzy model
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摘要 针对外部干扰信号为峰值有界的不确定时滞系统,提出一种新的基于T-S模糊模型的鲁棒1滤波方法.根据平行分布补偿法(PDC)和Lyapunov稳定性理论,构造模糊基依赖Lyapunov-Krasovskii泛函,并利用积分不等式方法,建立基于T-S模糊模型的不确定时滞系统的时滞相关峰值—–峰值(L_1)性能判据.最后通过LMI技术将鲁棒1滤波器设计问题转化为LMIs的凸优化求解问题.仿真示例验证了所提出方法的有效性. A new robust L_1 filtering method for a class of uncertain time-delay systems with peak-bounded external disturbances based on T-S fuzzy model is proposed. According to the parallel distributed compensation（PDC） and Lyapunov theory, a fuzzy basis-dependent Lyapunov-Krasovskii function is constructed. By adopting the integral inequality method, a delay-dependent peak-to-peak（L_1） criterion is firstly established for the uncertain time-delay systems based on the T-S fuzzy model. By using the LMI technique, the robust L_1 filtering problem can be casted into a convex optimization problem of LMIs. A numerical example is presented to illustrate the effectiveness of the proposed method.
作者 李艳辉 周秀杰 刘俊丽
机构地区 东北石油大学电气信息工程学院
出处 《控制与决策》 EI CSCD 北大核心 2016年第5期895-900,共6页 Control and Decision
基金 东北石油大学研究生创新科研项目(YJSCX2014-029NEPU) 东北石油大学校内培育基金项目(XN2014112) 黑龙江省自然科学基金项目(F201403) 黑龙江省博士后科学研究发展基金项目(LBH-Q13177)
关键词 T-S模糊模型 鲁棒L_1滤波 时滞相关 模糊基依赖 线性矩阵不等式 T-S fuzzy model robust L_1 filtering delay-dependent fuzzy basis-dependent linear matrix inequality
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献10

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二级参考文献9

  • 1Fridman E, Shaked U. A descriptor system approach to H∞ control of linear time-delay systems [J]. IEEE Trans on Automatic Control, 2002, 47(2): 253-270.
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  • 9Gao H, Lam J, Wang C. Robust energy-to-peak filter design for stochastic time-delay systems[J]. Systems and Control Letters, 2006, 55(2): 101-111.

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二级引证文献17

控制与决策
2016年 第5期

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