Abstract In this paper, the multiple disturbances reference mode tracking control problem is investigated for uncertain turbofan systems with unmeasurable states. The concerned disturbances are existing in the dynamics of turbofan systems, output measurement and control output. The control objective is described via a reference mode system, and a tracking controller is built for turbofan systems by using the reference mode control approach, disturbance observer-based-control (DOBC) scheme, resilient control technique, L 2 − L ∞ control theory and dynamic output feedback control method. Then, the Lyapunov stability theory and linear matrix inequalities (LMIs) technique are applied to guarantee that the augmented closed-loop tracking error systems are asymptotically stable with the L 2 − L ∞ performance. Finally, some simulation results for the uncertain turbofan systems are given to verify the effectiveness of the proposed method.

中文翻译：

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涡扇系统抗扰动参考模式弹性动态输出反馈控制

摘要 本文研究了状态不可测的不确定涡扇系统的多扰动参考模式跟踪控制问题。相关扰动存在于涡扇系统的动力学、输出测量和控制输出中。通过参考模式系统描述控制目标，并通过使用参考模式控制方法、基于干扰观测器的控制（DOBC）方案、弹性控制技术、L 2 − L ∞ 控制理论为涡扇系统构建跟踪控制器和动态输出反馈控制方法。然后，应用李雅普诺夫稳定性理论和线性矩阵不等式 (LMI) 技术来保证增广闭环跟踪误差系统在 L 2 − L ∞ 性能下渐近稳定。最后，