参数不确定离散切换奇异系统的鲁棒H_∞滤波

Robust H_∞ Filtering for Discrete-Time Switched Descriptor Systems with Uncertain Parameters

研究了参数不确定离散切换奇异系统的鲁棒H∞滤波问题.基于受限系统等价(r.s.e.)变换,并引入新的状态变量,将滤波误差系统转换为切换标准线性系统,然后根据线性矩阵不等式,设计了一个切换滤波器,保证了滤波错误系统对所有容许的不确定性是正则、因果、稳定的,并满足H∞性能.该H∞滤波器既可以是全阶的也可以是降阶的.数值实例说明了方法的有效性.

The robust filtering problem for discrete-time switched descriptor systems with parameter uncertainties is discussed.Based on the restricted system equivalent（r.s.e.） transformation and by introducing new state vectors,the filtering error system is transformed into a switched standard linear system,then a switched filter is designed in terms of linear matrix inequality,which guarantees that the filtering error system is regular,causal,stable and satisfies performance for all admissible uncertainties.The filter can be full or reduced order.A numerical example is given to illustrate the effectiveness of the proposed method.