线性不确定广义时滞系统的鲁棒无源滤波器设计

Design of Robust Passive Filter for Linear Uncertain Descriptor Time-delay Systems

研究一类线性不确定广义时滞系统的鲁棒无源滤波器设计问题.系统中所含的不确定性假设是未知且范数有界的.利用线性矩阵不等式方法和Lyapunov函数方法相结合,给出了广义滤波增广系统时滞独立的鲁棒无源滤波器的存在条件.设计目标是对所有的不确定性,滤波增广系统是正则、稳定、无脉冲的,且满足所提的无源滤波性能指标.所提的滤波器设计问题可转化为标准的线性矩阵不等式的求解问题,并可推广到多时滞情况.数值例子验证了设计方法的可行性.

Robust passive filtering for a class of linear uncertain descriptor time-delay systems is proposed. The parameter uncertainties of the system are assumed unknown and norm bounded. By combining the linear matrix inequality with Lyapunov function method, a sufficient condition on the existence of robust passive filters is derived. The objective is to design linear memoryless filters such that, for all uncertainties, the resulting augmented system is regular, robust stochastically stable independent of delays, impulse-free, and satisfies the proposed passive performance. The proposed filter design problem is turned into the feasible solution problem of linear matrix inequalities. The proposed design method can be extended to the case of multi-delays systems. A numerical example shows the feasibility of the proposed design approach.