Fuzy H-infinity filter design for a class of nonlinear discrete-time systems with multiple time delay ' s
Huaguang Zhang，Shuxian Lun，Derong Liu
Northeastem Univ, Sch Informat Sci& Engn, Shenyang 110004, Liaoning Peoples R China
Northeastern Univ, Minist Educ, Key Lab Integrated Automat Proc Ind, Shenyang 110004，Liaoning Peoples R China
Bohai Univ, Sch Informat Sci &Engn, Shenyang 121000, Liaoning Peoples R China
Bohai Univ, Illinois, Dept Elect &Comp Engn, Chicago, IL 60607 USA
Abstract: Ihis paper studies the fuzzy H. filter design problem for signal estimation of nonlinear discrete-time systems with multiple time delays and unknown bounded disturbances. First, the Takagi-Sugeno(T-s)fuzzy model is used to represent the state-space model of nonlinear discrete-time systems with time delays. Next, we design a stable fuzzy H filter based on the T-S fuzzy model, which guarantees asymptotic stability and a prescribed-infinity index for the filtering error system, irrespective of the time delays and uncertain disturbances. A sufficient condition for the existence of such a filter is established by using the linear matrix inequality(LM)approach. The proposed LM problem can be efficiently solved with global convergence guarantee using convex optimization techniques such as the interior point algorithm. imulation examples are provided to illustrate the design proceure of the present method.
(该文发表在 IEEE TRANSACTIONS ON FUZZY SYSTEMS,207,Vol.15；此摘要被SCI和Ei Compendex收录)
中文译文：
摘要：针对带有多时滞和未知有界扰动的非线性离散系统的信号估计，本文研究了模糊滤波器设计问题。首先，用T-S模糊模型来表示时滞非线性离散系统的状态空间模型。然后，我们基于T-S模糊模型设计稳定的模糊滤波器，该滤波器保证了滤波误差系统的渐近稳定性和指定的指标，且与时滞和不确定扰动无关。采用线性矩阵不等式方法,得到了存在这样的滤波器的充分条件。通过像内点法等凸最优化技术,提出的LMI问题可以有效地解出具有全局收敛保证的结果。仿真例子说明了提出方法的设计过程。
