The problem of H ∞ control is investigated for turbofan systems with uncertain parameters and multiple disturbances in this paper. Some disturbances with partly known information are described via an external system, and other disturbances are assumed to be L 2 norm bounded. According to the disturbance-observer-based-control (DOBC) method and resilient H ∞ control technique, a robust resilient controller is designed to reject and attenuate the influence of these disturbances, and guarantees that closed-loop systems are asymptotically stable with H ∞ performance. Some solvable sufficient conditions are obtained based on the linear matrix inequality (LMI) technique and Lyapunov stability theory. Finally, a simulation is presented to show the robustness and effectiveness of the developed resilient anti-disturbance H ∞ control method.

中文翻译：

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涡扇系统弹性抗干扰H∞控制

本文研究了不确定参数和多扰动涡扇系统的H ∞ 控制问题。一些信息部分已知的扰动是通过外部系统描述的，而其他的扰动被假定为 L 2 范数有界。根据基于干扰观察者的控制（DOBC）方法和弹性 H ∞ 控制技术，设计了一个鲁棒弹性控制器来拒绝和衰减这些干扰的影响，并保证闭环系统在 H ∞ 下渐近稳定表现。基于线性矩阵不等式（LMI）技术和Lyapunov稳定性理论，得到了一些可解的充分条件。最后，通过仿真展示了所开发的弹性抗扰动 H ∞ 控制方法的鲁棒性和有效性。