摘要
针对含有不确定性的二维(2-D)离散系统模型,抑制其输入噪声,恢复有用信息,并且降低系统对模型中存在的各种不确定因素的敏感度,成为了2-D鲁棒滤波器需要解决的至关重要的问题.本文在1-D鲁棒H∞滤波器的基础上,在2-D系统模型中引入H∞范数作为性能指标的约束条件,并且针对传统的Riccati方法计算量大的缺点,利用线性矩阵不等式(LMI)方法设计了2-D鲁棒H∞滤波器.Matlab仿真结果表明,此2-D滤波器对于有色噪声具有良好的滤波效果,而且对系统的不确定性也具有良好的鲁棒性.
This paper is concerned with a 2-D discrete model system with Uncertainties. The critical issue of the 2-D robust filter is to cancel the input noise, restore the useful information of the system and reduce the model＇s sensitivity to uncertainties effectively. H∞ norm as the restrictive conditions of the performance indicators is applied to the 2-D discrete system model. To avoid the inherent computational complexity of the Riccati method, we design a 2-D robust H∞ filter based on LMI method and use the LMI toolbox of Matlab to simulate. The results show that the 2-D robust filter has a good effect on the input noise, and is robust to the uncertainty of the system.
出处
《物理实验》
2007年第12期15-20,共6页
Physics Experimentation
