一体化执行器饱和线性矩阵不等式跟踪容错控制器设计  

The integrated tracking fault tolerant controller design under actuator saturation with linear matrix inequality algorithm

作　　者：刘聪[1] 钱坤[1] 李颖晖[2] 刘勇智[2] 丁奇 LIU Cong;QIAN Kun;LI Ying-hui;LIU Yong-zhi;DING Qi(The School of Aeronautics Maintenance Noncommissioned Officers,Air Force Engineering University,Xinyang Henan 464000,China;The Aeronautics Engineering College,Air Force Engineering University,Xi'an Shaanxi 710038,China)

机构地区：[1]空军工程大学航空机务士官学校,河南信阳464000 [2]空军工程大学航空工程学院,陕西西安710038

出　　处：《控制理论与应用》2019年第1期79-86,共8页Control Theory & Applications

基　　金：国家重点基础研究发展项目(2015CB755805)资助~~

摘　　要：针对一类执行器幅值饱和的不确定非线性系统,提出了基于线性矩阵不等式的一体化主动容错控制器设计方法.考虑执行器传感器同时故障情形,采用系统增维方法,将原系统等效转化为仅含执行器故障虚拟系统,简化了容错控制器设计.其次采用凸组合法对执行器饱和非线性进行描述,确保控制输入始终在幅值范围以内.在此基础上,设计了集自适应估计律与控制器于一体的主动容错控制器,并将控制器增益解算方法,转化线性矩阵不等式约束下的优化问题.最后通过飞机数值算例验证了设计方法的有效性.The scheme of integrated active fault tolerant controller by linear matrix inequality(LMI)is proposed in this paper,which is used for the uncertain nonlinear system with actuator saturation.Firstly the case that both actuator and sensor faults exist simultaneously is considered,the expanding dimensions is introduced to the new system,and the original system is transformed to the virtual system which only contains the actuator faults,thus it will be more convenient for the controller design.Then the nonlinearity of actuator saturation is described by the convex composing method,and this will make the control input avoid the saturation.Meanwhile an active fault tolerant controller with adaptive estimated algorithm is designed,and the calculating algorithm is provided under LMI constraints.Finally an airplane example is given to demonstrate the effectiveness of the algorithm.

关 键 词：执行器饱和 容错 一体化 线性矩阵不等式(LMI) 自适应 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]