This article discusses a more practical deception attack on the continuous-time switched systems, i.e. a malicious attacker tampers with the binary 01 code transmitted through the network. Assume that the switching is slow enough and the attacker’s energy is limited, we propose a coding transmission strategy based on bandwidth allocation, which selects a part of the network bandwidth for reverse data transmission. Under such strategy, partial detection of attacks and synchronous update of quantization rules are realized. Combined the increasing/decreasing rate of Lyapunov function with the success rate of attack detection, the sufficient conditions ensuring the mean square exponential stability of the system are given. Taking the maximum convergence rate as a performance indicator, the optimal bandwidth allocation scheme is provided for the specific values, which realizes a trade-off between attack detection rate and quantization error. Two-tank system is adopted to illustrate the effectiveness of the theoretical analysis.

本文讨论一种更实用的针对连续时间切换系统的欺骗攻击，即恶意攻击者篡改通过网络传输的二进制01代码。假设切换足够慢且攻击者的能量有限，我们提出了一种基于带宽分配的编码传输策略，选择一部分网络带宽用于反向数据传输。在这种策略下，实现了攻击的局部检测和量化规则的同步更新。结合李雅普诺夫函数的增减率与攻击检测成功率，给出了保证系统均方指数稳定的充分条件。以最大收敛速度作为性能指标，针对特定值提供最优的带宽分配方案，实现了攻击检测率和量化误差之间的折衷。采用双罐系统来说明理论分析的有效性。