传感器饱和不确定非线性延迟系统的鲁棒L2-L∞滤波

Yanhui Li, Shu Zhang
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引用次数: 1

摘要

针对一类输出方程包含时变时滞和饱和项,状态方程包含时变时滞项的连续时间不确定非线性系统,提出了一种鲁棒L2-L∞滤波器设计方法。采用无记忆扇区法处理饱和,非线性服从利普希茨条件。为了保证滤波误差系统渐近稳定并满足L2-L∞性能约束,提出了一种延迟相关Lyapunov-Krasovskii泛函(LKF)方法。通过一个实例说明了所提方法的有效性。
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Robust L2-L∞ filtering for uncertain nonlinear delay systems with sensor saturation
In this paper, a robust L2-L∞ filter design method is presented for a class of continuous-time uncertain nonlinear systems of which the output equations contain the time-varying delay and the saturation items while the state equations contain the time-varying delay items. The memoryless sector region method is utilized to deal with the saturation, and the nonlinearity is subjected to the Lipschitz condition. A delay-dependent Lyapunov-Krasovskii functional(LKF) approach is presented to guarantee that the filtering error system is asymptotically stable and satisfies the L2-L∞ performance constraint. An illustrative example is used to elucidate the efficacy of the proposed approach.
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