Weighted H-infinity Filtering for a Class of Switched Linear Systems with Additive Time-Varying Delays

Li Li-li; Zhang Guangling; Ge Xin; Jin Cui-li

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Weighted H-infinity Filtering for a Class of Switched Linear Systems with Additive Time-Varying Delays

机译：一类具有加和时变时滞的线性切换系统的加权H-无穷大滤波

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This paper is concerned with the problem of weighted H-infinity filtering for a class of switched linear systems with two additive timevarying delays, which represent a general class of switched time-delay systems with strong practical background. Combining average dwell time (ADT) technique with piecewise Lyapunov functionals, sufficient conditions are established to guarantee the exponential stability and weighted H-infinity performance for the filtering error systems. The parameters of the designed switched filters are obtained by solving linear matrix inequalities (LMIs). A modification of Jensen integral inequality is exploited to derive results with less theoretical conservatism and computational complexity. Finally, two examples are given to demonstrate the effectiveness of the proposed method.

机译：本文关注的是一类具有两个附加时变时滞的线性切换系统的加权H-无穷大滤波问题，这是一类具有较强实践背景的通用时滞系统。将平均停留时间（ADT）技术与分段Lyapunov功能相结合，建立了充分的条件来保证滤波误差系统的指数稳定性和加权H-无穷大性能。设计的开关滤波器的参数是通过求解线性矩阵不等式（LMI）获得的。利用对Jensen积分不等式的修改来得出结果，其理论保守性和计算复杂度均较低。最后，给出两个例子来证明所提方法的有效性。

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《Mathematical Problems in Engineering》 |2015年第4期|649487.1-649487.11|共11页
作者
Li Li-li; Zhang Guangling; Ge Xin; Jin Cui-li;
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作者单位

Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China.;

Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China.;

Dalian Maritime Univ, Sch Informat Sci & Technol, Dalian 116026, Peoples R China.;

Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China.;

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专利

1. WeightedH∞Filtering for a Class of Switched Linear Systems with Additive Time-Varying Delays [J] . Li-liLi, GuanglingZhang, XinGe, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第2期

机译：一类具有加时变时滞的线性切换系统的加权H∞滤波
2. Exponential H-infinity filtering for switched linear systems with interval time-varying delay [J] . Wang D, Wang W, Shi P International Journal of Robust and Nonlinear Control . 2009,第5期

机译：具有间隔时变时滞的线性切换系统的指数H-∞滤波
3. Robust H-infinity filtering for a class of uncertain linear systems with time-varying delay [J] . Zhang XM, Han QL Automatica . 2008,第1期

机译：一类时变时滞不确定线性系统的鲁棒H-∞滤波
4. Weighted h8 filtering for a class of switched linear systems with additive time-varying delays [C] . Li Lili, Zhang Guangling, Wang Pengru Chinese Control Conference . 2014

机译：一类具有附加时变时滞的线性切换系统的加权h8滤波
5. H2 and H-infinity filtering for nonlinear singular systems. [D] . Aliyu, Mohammad Dikko S. 2011

机译：非线性奇异系统的H2和H无穷大滤波。
6. Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay [O] . Ruliang Wang, Jie Li, Shanshan Zhang, 2013

机译：一类具有时变时滞的不确定非线性系统的鲁棒自适应控制
7. A New Design of H-Infinity Piecewise Filtering for Discrete-Time Nonlinear Time-Varying Delay Systems via T-S Fuzzy Affine Models [O] . Wei Yanling, Qiu Jianbin, Shi Peng, 2017

机译：基于T-S模糊仿射模型的离散非线性时变时滞系统的H-∞分段滤波新设计

Weighted H-infinity Filtering for a Class of Switched Linear Systems with Additive Time-Varying Delays

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