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
摘要点击 361  全文点击 344  投稿时间:2017-11-14  修订日期:2018-04-12
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DOI编号  10.7641/CTA.2018.70829
  2019,36(1):79-86
中文关键词  执行器饱和  容错  一体化  线性矩阵不等式(LMI)  自适应
英文关键词  actuator saturation  fault tolerance  integrated  linear matrix inequality (LMI)  adaptive
基金项目  国家重点基础研究发展项目(2015CB755805)资助.
学科分类代码  
作者单位E-mail
刘聪 空军工程大学航空机务士官学校 598832156@qq.com 
钱坤 空军工程大学航空机务士官学校  
李颖晖 空军工程大学航空工程学院  
刘勇智 空军工程大学航空工程学院  
丁奇 空军工程大学航空机务士官学校  
中文摘要
      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.
英文摘要
      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.