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基于李雅普诺夫矩阵的无人航海器传感器与推进器攻击下的自适应弹性控制

Lyapunov matrix-based adaptive resilient control for unmanned marine vehicles with sensor and thruster attacks.

作者信息

Yang Xin, Hao Li-Ying, Xiao Yang, Li Tieshan

机构信息

College of Navigation, Dalian Maritime University, Dalian 116026, People's Republic of China.

College of Marine Electrical Engineering, Dalian Maritime University, Dalian 116026, People's Republic of China.

出版信息

ISA Trans. 2024 Oct;153:70-77. doi: 10.1016/j.isatra.2024.08.005. Epub 2024 Aug 6.

DOI:10.1016/j.isatra.2024.08.005
PMID:39142931
Abstract

This paper presents the design of a Lyapunov matrix-based adaptive resilient controller for unmanned marine vehicles (UMVs) under state-dependent sensor attacks, input-dependent thruster attacks, and time delays. Different from the thruster attack model that depends on state information, the thruster attack model studied in this paper is related to control input, that is, the input-dependent thruster attacks. This implies that the designed correction signal is also affected by the attacks. To mitigate the impact of the considered sensor attacks and thruster attacks on UMVs, an adaptive mechanism is employed to estimate the attack factors. Furthermore, a Lyapunov matrix-based complete-type Lyapunov-Krasovskii functional (LKF) is introduced, in which more comprehensive time delay information are considered. Based on this, linear matrix inequality (LMI) method and Jensen's inequality are used to obtain sufficient conditions for the existence of the controller. The proposed controller guarantees that the state errors of UMVs converge asymptotically to zero with the adaptive H performance index no larger than γ. Finally, the efficacy of the proposed approach is verified by simulation results.

摘要

本文提出了一种基于李雅普诺夫矩阵的自适应弹性控制器,用于应对状态依赖型传感器攻击、输入依赖型推进器攻击和时延情况下的无人船(UMV)。与依赖状态信息的推进器攻击模型不同,本文研究的推进器攻击模型与控制输入相关,即输入依赖型推进器攻击。这意味着所设计的校正信号也会受到攻击的影响。为减轻所考虑的传感器攻击和推进器攻击对无人船的影响,采用自适应机制来估计攻击因子。此外,引入了基于李雅普诺夫矩阵的完全型李雅普诺夫 - 克拉索夫斯基泛函(LKF),其中考虑了更全面的时延信息。基于此,利用线性矩阵不等式(LMI)方法和詹森不等式来获得控制器存在的充分条件。所提出的控制器保证无人船的状态误差渐近收敛到零,且自适应H性能指标不大于γ。最后,通过仿真结果验证了所提方法的有效性。

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