摘要
针对一类非线性奇异摄动系统,建立了基于T-S模糊模型的模糊奇异摄动系统模型.通过李亚普诺夫方法和Schur补定理,研究其动态输出反馈H∞控制.将系统动态输出反馈H∞控制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,避免了由ε引起的数值求解的病态问题.所获得的控制器使闭环系统渐近稳定,并达到了给定的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.仿真实例说明了该方法的有效性.
For a class of nonlinear singularly perturbed systems, a model of fuzzy singularly perturbed systems based on T-S model is built. With the help of Lyapunov approach and Schur complement theorem, the dynamic output feedback H∞ control of the system is investigated. The design of the dynamic output feedback H∞ controller is solved by a set of eindependent linear matrix inequalities, so the ill-conditioned problem caused by e in numerical solution is avoided effectively. The obtained controller enables the closed-loop systems to be stable asymptotically 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 effectiveness of the presented approach.
出处
《信息与控制》
CSCD
北大核心
2008年第5期581-587,共7页
Information and Control
基金
国家高新技术产业化专项项目(2005-1)
关键词
模糊奇异摄动
H∞控制
线性矩阵不等式
输出反馈控制
fuzzy singularly perturbation
H∞ control
linear matrix inequality （LMI）
output feedback control
