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研究了含有多面体参数摄动Delta算子系统的混合H2/H∞滤波问题,目的是寻找一个稳定的线性滤波器,使得滤波误差系统在不同滤波通道具有不同性能准则.利用参数依赖型Lyapunov函数方法,提出了新的混合H2/H∞性能准则.基于该准则,采用线性矩阵不等式技术推导了此类系统全阶混合H2/H∞滤波器存在的充分条件,并通过求解一个凸优化问题设计滤波器.研究结果表明该方法具有较低的保守性.数值示例验证了所提方法的可行性.
The problem of hybrid H2 / H∞ filtering with Delta operator with polygon parameter perturbation is studied in order to find a stable linear filter with different performance criteria for different filter channels.Using the parameter-dependent Lyapunov function , A new hybrid H2 / H∞ performance criterion is proposed.Based on this criterion, the sufficient conditions for the existence of full-order mixed H2 / H∞ filters in this type of system are derived by using the linear matrix inequality (LMI) technique, and the filter is designed by solving a convex optimization problem The results show that the proposed method is less conservative and the numerical examples demonstrate the feasibility of the proposed method.