抵御执行器故障的H₂可靠跟踪控制  

State Feedback Reliable Tracking Control with H2 Performance for against Actuator Failures

作　　者：刘志慧 王福忠 姚波[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,辽宁沈阳 [2]沈阳工程学院基础教学部,辽宁沈阳

出　　处：《动力系统与控制》2017年第3期127-135,共9页Dynamical Systems and Control

摘　　要：针对线性定常系统,研究了具有执行器故障的H2可靠跟踪控制问题。首先设计状态反馈跟踪控制器使得闭环系统保持渐近稳定,同时满足H2性能指标。进一步,给出了满足H2性能指标,考虑执行器故障的状态反馈可靠控制器存在的条件及设计算法。通过数例仿真可以看出,当执行器故障时,该系统在原状态反馈控制器作用下无法保持稳定,但是,利用本文提出的状态反馈可靠跟踪控制器可使系统在发生故障后仍保持渐近稳定,且满足相应的H2性能指标,验证了本文给出结论的有效性和可行性。Aiming at the linear stochastic system, the H2 reliable tracking control problem with actuator fail-ure is studied. First, the state feedback tracking controller is designed to keep the closed-loop system asymptotically stable, while satisfying the H2 performance index. Furthermore, the condi-tion and design algorithm of the state feedback reliable controller which satisfies the H2 perfor-mance index and the actuator failure are given. It can be seen that the system can’t be stabilized under the action of the original state feedback controller when the actuator is faulty. However, the state feedback reliable tracking controller proposed in this paper can keep the system asymptoti-cally after the fault which is stable and satisfies the corresponding H2 performance index, which verifies the validity and feasibility of the conclusion.

关 键 词：状态反馈 执行器故障 H₂可靠跟踪控制 线性矩阵不等式(LMI) 

分 类 号：TP1[自动化与计算机技术—控制理论与控制工程]