欺骗攻击下的奇异摄动中立型半马尔可夫跳跃系统滑模控制

Sliding Mode Control for Singular Perturbed Neutral-Type Semi-Markov Jump Systems with Deceptive Attacks

摘要: 本文研究了遭受欺骗攻击与外部扰动的奇异摄动中立型半马尔可夫跳跃系统的异步滑模控制问题。首先，为减轻网络通信负担，设计了一种新型动态事件触发传输机制，降低了控制器与执行器之间的数据传输频率。其次，构建了一个与隐半马尔可夫切换模型相结合的积分型滑模面解决系统模态与控制器模态的异步问题。在设计滑模控制律时引入收敛因子，有效加快了系统状态的收敛速度，并显著抑制了控制信号的抖振。随后，利用参数依赖的Lyapunov方法，推导出了确保闭环滑模动态系统随机稳定且满足指定$H_{\infty }$ 性能指标的充分条件。最后，通过一个数值算例验证了本文所提出控制策略的有效性。

Abstract: This paper investigates the asynchronous sliding mode control problem for singularly perturbed neutral semi-Markov jump systems under deception attacks and external disturbances. First, a novel dynamic event-triggered transmission mechanism is proposed, to reduce the burden on network communication, with could effectively decrease the frequency of data transmission between the controller and the actuator. Second, an integral sliding surface incorporating the hidden semi-Markov switching model was constructed to address the asynchrony between system modes and controller modes. In the design of the sliding mode control law, a convergence factor is introduced, which significantly enhances the convergence rate of the system states and reduces chattering in the control signal. Subsequently, by employing a parameter-dependent Lyapunov functional approach, sufficient conditions are derived to guarantee the stochastic stability of the resulting closed-loop sliding mode dynamics while satisfying a prescribed $H_{\infty }$ performance criterion. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed control strategy.