Wang Dongji, Xu Shengyuan
IEEE Trans Cybern. 2024 Oct;54(10):5843-5851. doi: 10.1109/TCYB.2024.3417027. Epub 2024 Oct 9.
This article presents a composite anti-disturbance security control approach for the continuous-time nonlinear hidden Markov jump systems, in which the nonlinearities are characterized by the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model. To offset and suppress the influence of multiple disturbances on the system stability, a composite control method based on disturbance observer and H control is established. In addition, considering potential cyber-attacks, this article takes deception attacks as an example, assuming that the attack signal is generated by a nonlinear bounded function, and the Bernoulli distribution is employed to depict whether the attack occurs or not. Then, in accordance with the IT2 T-S fuzzy model, the final composite system is derived. With the help of tools, such as the Lyapunov stability theory and fuzzy theory, the stability of the target system is analysed, and the specific forms of the fuzzy composite controller and disturbance observer are obtained. Finally, the correctness and effectiveness of the control method proposed in this article are verified through two examples.
本文提出了一种针对连续时间非线性隐马尔可夫跳跃系统的复合抗干扰安全控制方法,其中非线性由区间二型(IT2)高木-菅野(T-S)模糊模型表征。为抵消和抑制多种干扰对系统稳定性的影响,建立了一种基于干扰观测器和H控制的复合控制方法。此外,考虑到潜在的网络攻击,本文以欺骗攻击为例,假设攻击信号由非线性有界函数生成,并采用伯努利分布来描述攻击是否发生。然后,根据IT2 T-S模糊模型,推导了最终的复合系统。借助李雅普诺夫稳定性理论和模糊理论等工具,分析了目标系统的稳定性,并得到了模糊复合控制器和干扰观测器的具体形式。最后,通过两个例子验证了本文提出的控制方法的正确性和有效性。