连续时滞模糊系统的H_∞滤波

H_∞ filtering for continuous-time-delay systems

研究了一类非线性连续时滞系统的H∞滤波器的设计问题。基于T-S模糊模型来设计模糊H∞滤波器,该滤波器能确保滤波误差系统的渐近稳定并能满足给定的H∞性能指标。在设计过程中考虑了系统的时滞,从而降低了滤波器设计的保守性,根据线性矩阵不等式(LMI)给出线性滤波器存在的充分条件。通过仿真算例验证了设计方法的有效性。

The problem of H∞ filter design for a class of nonlinear continuous systems with time delays is investigated. The design of fuzzy H∞ filter is based on T-S fuzzy model, whichassures asymptotic.stability and prescribed H∞ index for the error filtering system. The time delays are considered so that the filter has less conservatism, the sufficient condition for the existence of filter is established in terms of linear matrix inequality. Finally, a simulation example illustrates the effectiveness of the proposed method.