摘要
本文针对一类非线性、多时滞、干扰有界未知的离散系统进行H∞ 模糊滤波器的设计 .首先 ,利用T S模糊模型来表达这个非线性、多时滞系统 ,并将建模误差 ,通过S procedure ,考虑到滤波器的设计中 ,建立基于T S模糊模型的滤波器的存在条件 ,降低了滤波器设计的保守性 .然后根据线性矩阵不等式 (LMI)的性质将该模糊滤波器的设计转化为LMI的可行性问题 ,并采用凸优化技术的内点法求得LMI的可行解 ,设计出模糊滤波器 .仿真结果表明 ,该方法是有效的 .
This paper develops fuzzy H∞ filter to estimate signal for a class of nonlinear discrete-time state-delayed systems with unknown bounded disturbances. First, the Takagi-Sugeno (T-S) fuzzy model is used to represent the state-space model for the nonlinear discrete-time systems. Sufficient condition for the existence of fuzzy H∞ filter based on T-S fuzzy model is established when modelling error is considered during the design process of filter by S-procedure, which reduces the conservativeness of the design of filter. According to some nature of linear matrix inequality (LMI), the design of fuzzy I∞ filter is turned into the feasible problem of LMI, which can be efficiently solved using convex optimization techniques such as the interior point algorithm. Simulation results show that the proposed design method for filter is effective.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2005年第2期231-235,共5页
Acta Electronica Sinica
基金
国家自然科学基金 (No .60 2 740 1 7
60 32 531 1 )
关键词
离散系统
H∞滤波器
T-S模糊模型
LMI
时滞
Computer simulation
Digital filters
Fuzzy sets
Nonlinear systems
State space methods
