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针对虚假数据注入(falsedatainjection，FDI)攻击下非线性柔性航天器系统的安全跟踪控制问题，提出一种基于T-S模糊模型的脉冲采样控制方法，实现网络环境下柔性航天器对参考轨迹的稳定跟踪。首先，考虑柔性航天器系统具有强非线性和刚柔耦合特性，将T-S模糊建模为其姿态动力学模型，并引入结构一致的模糊参考系统将跟踪问题转化为误差系统的稳定问题。其次，针对FDI攻击作用于采样数据引起的状态突变，建立一类T-S模糊脉冲误差系统，并设计相应的模糊脉冲状态反馈控制器。随后，利用分段时变Lyapunov函数与线性矩阵不等式技术，推导出闭环系统渐近稳定且满足H∞性能指标的充分条件，并提出控制器增益的可行求解方法。最后，以典型柔性航天器系统为例进行数值仿真。仿真结果表明，在采样误差信息通道受到幅值受限周期型FDI攻击的情况下，所设计控制器能够有效抑制攻击信号和刚柔耦合引起的跟踪误差，使姿态角速度和姿态四元数矢量部分逐渐收敛至参考轨迹。与无控制输入情形相比，闭环系统跟踪误差显著减小，控制输入幅值保持在合理范围内，稳态段H∞衰减率满足预设性能指标，验证了所提T-S 模糊脉冲采样控制方法的有效性和合理性。
Abstract：This paper investigates the secure tracking control problem for nonlinear flexible spacecraft subject to false data injection (FDI) attacks. An impulsive sampled-data control method based on the Takagi-Sugeno (T-S) fuzzy model is proposed to guarantee stable trajectory tracking in a networked environment. First， the nonlinear attitude dynamics of the flexible spacecraft are represented by a T-S fuzzy model to describe the strong nonlinearity and rigid-flexible coupling. A fuzzy reference system with the same structure is then introduced， and the tracking control problem is transformed into the stability analysis of an error system. Second， since FDI attacks on sampled data may cause abrupt state jumps， a T-S fuzzy impulsive error system is established. Accordingly， a fuzzy impulsive state-feedback controller is designed. Furthermore， by constructing a piecewise time-varying Lyapunov function and using linear matrix inequality techniques， sufficient conditions are derived to ensure the asymptotic stability and prescribed H∞ performance of the closed-loop system. A feasible procedure is also provided for computing the controller gains. Finally， a numerical example of a typical flexible spacecraft is presented. The results show that， under bounded periodic FDI attacks on the sampled error information channel， the proposed controller effectively suppresses the tracking errors induced by attack signals and rigid-flexible coupling. The attitude angular velocities and quaternion vector components converge to the reference trajectory. Compared with the case without control input， the closed-loop tracking errors are significantly reduced， the control inputs remain within a reasonable range， and the H∞ steady-state attenuation rate satisfies the prescribed performance index. These results demonstrate the effectiveness and rationality of the proposed T-S fuzzy impulsive sampled-data control method.
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基本信息:
中图分类号:TP393.08;TP273;V448.2
引用信息:
[1]邓英蔚,严昊,丁奎,等.网络攻击下非线性柔性航天器的脉冲采样控制[J].南通大学学报(自然科学版)().
基金信息:
国家自然科学基金青年科学基金项目（62403006）; 安徽省自然科学基金项目（2408085QF184）
2026-08-25
2026-08-25
2026-08-25