模糊奇异摄动系统的鲁棒输出控制  

Robust output control of Fuzzy Singularly Perturbed Systems

作　　者：王喜根 WANG Xigen(School of Electronic and Electrical Engineering,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学电子电气工程学院,上海201620

出　　处：《智能计算机与应用》2021年第2期14-18,22,共6页Intelligent Computer and Applications

摘　　要：本文研究了一类模糊奇异摄动系统的多目标控制问题。通过引用Schur补定理及相关引理,将控制器的设计转化为求解一组线性矩阵不等式的求解问题。该方法保证了对任意选取的ε∈(0,ε0](ε0是ε的上界),此系统存在具有ε依赖特性并且满足鲁棒H∞性能的动态输出反馈控制器。并且该控制器可使系统达到渐近稳定的效果。该方法避免了ε相关的数值刚性问题的出现以及"快慢分解"思想不适用于非标准奇异摄动系统的状况。仿真验证此方法的有效性。In this paper,multiobjective control of Fuzzy Singulaly Perturbation systems is discussed.By citing Schur complement theorem and related lemma,the design of controller is transformed into a set of linear matrix inequalities.This method guarantees arbitrary selectionε∈(0,ε0](ε0 is the upper bound ofε),the system always has a dynamic output feedback controller that hasε-dependent characteristics and satisfies the H∞performance.Moreover,the design controller can enable SPSs to be stable asymptotically.This method alleviates the numerical stiffness problem and the"fast and slow decomposition"idea is not applicable to nonstandard singularly perturbed systems.Simulation illustrates the effectiveness of this method.

关 键 词：模糊奇异摄动系统 H∞性能 输出反馈控制 线性矩阵不等式 T-S模糊模型 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]