基于模糊双曲模型的可靠控制器设计  

Design of reliable controller based on fuzzy hyperbolic model

作　　者：杨珺[1] 张化光[1] 郑成德[2] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110004 [2]大连交通大学数理系,辽宁大连116002

出　　处：《控制与决策》2008年第2期167-170,176,共5页Control and Decision

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

摘　　要：考虑执行器出现故障,提出一种基于模糊双曲模型(FHM)的可靠保性能控制策略.首先用模糊双曲模型表述一类离散非线性系统,建立基于模糊双曲模型的控制器;然后通过LMI方法设计该控制器,以保证系统在正常状况和执行器出现故障时都是渐近稳定的,并通过求解一个基于LMI的优化问题,得到最优的控制器增益矩阵,使得保性能指标的上界最小.仿真结果表明了该方法的有效性.A reliable guaranteed cost control problem based on fuzzy hyperbolic model （FHM） with actuator faults is proposed. An FHM is employed to represent a class of discrete-time nonlinear systems and the controller based on FHM is established. The controller obtained in terms of linear matrix inequality （LMI） can guarantee the stability of the closed-loop system in the normal and actuator fault cases. Furthermore, an optimal controller gain matrix is obtained solving an LMI optimization procedure, which can minimize a bound on guaranteed cost. Finally, simulation results show the effectiveness of the proposed method.

关 键 词：可靠控制 模糊双曲模型 保性能控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]