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研究一类噪声干扰信号和被估计信号带有参数不确定性时的时滞中立系统的鲁棒H∞滤波设计问题。假设参数不确定性具有线性分式形式,给出的滤波器使误差系统渐近稳定且达到指定的干扰抑制水平。该方法将系统中的范数有界不确定作外部干扰处理,将不确定中立系统的鲁棒H∞滤波问题转化为确定系统的H∞滤波设计。最后通过解线性矩阵不等式得到可采用的滤波器。仿真例子验证所得结果的有效性。
The problem of robust H∞filter design for a class of neutral systems with time-delay is studied in the case of a class of noise-jamming signals and parameters with unknown parameters. Assuming that the parameter uncertainty has a linear fractional form, the given filter makes the error system asymptotically stable and reaches the specified level of interference suppression. In this method, the norm of the system is bounded and uncertain, which is used as the external disturbance. The robust H∞filtering problem of uncertain neutral systems is transformed into the H∞filter design of the system. Finally, we get the filter which can be used by solving the linear matrix inequality. Simulation examples verify the validity of the results obtained.