不规则DoS攻击下具有输入输出量化的非线性系统自适应输出反馈控制

Adaptive Output-Feedback Control for Nonlinear Systems with Input and Output Quantization under Irregular DoS Attacks

摘要: 本文针对一类受到不规则拒绝服务(DoS)攻击的不确定性非线性系统，研究了其在输入输出量化条件下的自适应输出反馈控制问题。该研究旨在解决输出量化导致的信号不连续不可微、虚拟控制律求导困难以及DoS攻击不规则中断通信的现象，确保闭环系统的稳定性与控制性能。该目标通过引入动态滤波技术、参数投影估计器和增益切换状态观测器得以实现。首先，利用动态滤波避免反步设计中虚拟控制信号的直接求导，并结合参数投影方法处理量化误差对参数估计的影响；其次，设计增益切换状态观测器以适应DoS攻击下的输出反馈控制，进而推导出输入输出量化下的自适应反步控制策略；最后，理论分析表明闭环信号半全局一致最终有界，误差性能可通过设计参数调节，数值仿真验证了所提方案的有效性。

Abstract: This paper investigates the adaptive output-feedback control problem for a class of uncertain nonlinear systems subject to irregular denial-of-service (DoS) attacks, under the condition of input and output quantization. The study aims to address the challenges of signal discontinuity and non-differentiability caused by output quantization, the difficulty in differentiating virtual control laws in backstepping design, and the irregular communication interruptions induced by DoS attacks, while ensuring the closed-loop stability and control performance. To achieve this goal, a dynamic filtering technique, a parameter projection estimator, and a gain-switching state observer are introduced. Specifically, dynamic filtering is employed to avoid direct differentiation of virtual control signals in backstepping, and the parameter projection method is combined to mitigate the influence of quantization errors on parameter estimation. A gain-switching state observer is designed to accommodate output feedback control under DoS attacks, based on which an adaptive backstepping control strategy with input-output quantization is derived. Theoretical analysis shows that all closed-loop signals are semi-globally uniformly ultimately bounded, and the tracking error performance can be tuned by design parameters. Numerical simulations verify the effectiveness of the proposed scheme.