北京航空航天大学学报

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一种不确定系统鲁棒容错跟踪控制方法研究

彭程1,王新民2,谢蓉3,穆凌霞1   

  1. 1. 西北工业大学(自动化学院)
    2.
    3. 西北工业大学自动化学院
  • 收稿日期:2015-07-09 修回日期:2015-10-09 发布日期:2015-10-30
  • 通讯作者: 彭程
  • 基金资助:
    陕西省自然基金资助项目

Research on robust fault-tolerant tracking control for uncertain systems

  • Received:2015-07-09 Revised:2015-10-09 Published:2015-10-30

摘要: 针对一类含有执行器失效故障和范数有界不确定性的系统,提出了一种鲁棒容错跟踪控制设计方法。该方法利用有界实引理,给出了保证闭环系统稳定且满足鲁棒性能要求的矩阵不等式(LMI)的表达式;为了削弱控制器的保守性,使用不同的Lyapunov变量对应不同的系统状态;由此带来的非凸优化问题,发展了一种迭代线性矩阵不等式算法。考虑到该迭代算法的收敛性取决于初值的选择,经过推导给出了一种求解合适初值的算法。最后将该方法应用于高超音速飞行器X-33跟踪控制器的设计,仿真结果表明文中所提方法是可行的和有效的。

关键词: 高超音速飞行器, 矩阵不等式, 容错控制, 跟踪控制, 鲁棒控制

Abstract: For the systems with norm-bounded parameter uncertainty and actuator failure faults, a robust fault-tolerant tracking control method is presented. In this method the linear matrix inequalities (LMI) of guaranting the stability of the closed-loop system and meeting the demand of the robust performance are derived utilizing the bounded real lemma;In order to reduce the conservativeness of the designed controller, the different Lyapunov variables are adopted under each system fault state; An iterative LMI algorithm is developed to solve the resulting non-convex optimization problem caused by the use of different Lyapunov variables. Since the convergence of the iterative algorithm lies on the choice of the initial values, an efficient way to find a good initial values is given after derivation. In the end the method is applied on the design of the hypersonic vehicle X-33 tracking controller, simulation results show that the proposed method in this paper is available and effective.

Key words: hypersonic vehicle, LMI, Fault-tolerant control, Tracking control, Robust control


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