基于模糊双曲模型的混合H_2/H_∞控制  

Design of Mixed H_2/H_∞ Controller Based on Fuzzy Hyperbolic Model

作　　者：杨珺[1] 张化光[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2008年第4期460-463,468,共5页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60325311;60534010;60572070;60521003);教育部长江学者及创新团队计划资助课题(IRT0421)

摘　　要：针对一类离散非线性系统,提出一种基于模糊双曲模型(FHM)的多目标控制器设计方法.利用模糊双曲模型来表述一类非线性系统,建立基于模糊双曲模型的控制器.该控制器本质上是一种模糊控制器,也是具有饱和特性的非线性反馈控制器.使用LMI方法设计该控制器以保证闭环系统是渐近稳定的,并且可以通过求解一个基于LMI的优化问题,得到次优的控制器增益矩阵,使得闭环系统同时满足H2性能指标上界最小和H∞范数界γ.仿真结果表明,该方法是有效的.Based on fuzzy hyperbolic model （FILM）, a multiple-objective controller design method is presented for a class of discrete-time nonlinear systems, where the FHM is refers to the descriptive definition of a class of nonlinear systems and the architecture of the FHM controller. This controller is essentially a fuzzy controller and also a nonlinear feedback controller featured with saturation. Design with the linear matrix inequality （LMI）, the controller can guarantee the asymptotic stability of a closed-loop system and, a suboptimal gain matrix of the controller can be obtained by .solving an LMI-based optimization problem to enable the closed-loop system to satisfy simultaneously both the upper bound of H2 performance index and H∞ norm bound γ. Simulation results showed the validity of the design method proposed.

关 键 词：H2/H∞混合控制 模糊双曲模型 线性矩阵不等式 非线性 离散系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]