线性中立型时滞系统的鲁棒耗散滤波器

Robust Dissipative Filter for Linear Neutral Delay Systems

研究一类线性不确定中立型时滞系统的鲁棒耗散滤波器设计问题,所研究的中立型时滞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李亚普诺夫函数方法相结合,给出了增广系统时滞独立的鲁棒耗散滤波器的存在条件。设计目标是对所有的不确定性,增广系统是渐近稳定的且满足所提的耗散滤波性能指标。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。数值算例验证了设计方法的可行性。

Robust dissipative filtering for a class of linear uncertain neutral 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 dissipative filters is derived.The objective is to design linear filters such that for all uncertainties,the resulting augmented system is regular,robust stable independent of delays,impulse-free and satisfies the proposed dissipative performance.The proposed filter design problem is turned into the feasible solution problem of linear matrix inequalities.A numerical example shows the feasibility of the proposed design approach.