摘要
针对一类非线性奇异摄动系统,建立基于T-S模糊模型的模糊奇异摄动系统模型,通过Lyapunov方法和Schur补定理,研究其H∞滤波问题.将系统H∞滤波器设计归结为求解一组与摄动参数ε无关的线性矩阵不等式,从而避免由ε引起数值求解的病态问题.所获得的滤波器使闭环系统渐近稳定并能达到给定的H∞性能指标.该方法适用于标准和非标准非线性奇异摄动系统,仿真实例表明了所提出方法的有效性.
To a class of nonlinear singularly perturbed systems, a model of fuzzy singularly perturbed systems based on T-S model is built. The problem of H∞ filtering for the system is investigated in by Lyapunov approach and Schur complement theorem. The design of the H∞ filter is solved by a set of the ε-independent linear matrix inequalities, so the illrconditioned problem is avoided effectively. The filter obtained enables the closed-loop systems to be stable and to achieve the given H∞ performance. The proposed approach can be applied to both standard and nonstandard nonlinear singularly perturbed systems. A simulation example is provided to illustrate the approaches.
出处
《控制与决策》
EI
CSCD
北大核心
2008年第12期1395-1400,共6页
Control and Decision
基金
国家高新技术产业化专项基金项目(2005-1)
