Cheng Jun, Yan Huaicheng, Park Ju H, Zong Guangdeng
IEEE Trans Cybern. 2023 Jan;53(1):76-87. doi: 10.1109/TCYB.2021.3089612. Epub 2022 Dec 23.
In this study, the output-feedback control (OFC) strategy design problem is explored for a type of Takagi-Sugeno fuzzy singular perturbed system. To alleviate the communication load and improve the reliability of signal transmission, a novel stochastic communication protocol (SCP) is proposed. In particular, the SCP is scheduled based on a nonhomogeneous Markov chain, where the time-varying transition probability matrix is characterized by a polytope-structure-based set. Different from the existing homogeneous Markov SCP, a nonhomogeneous Markov SCP depicts the data transmission in a more reasonable manner. To detect the actual network mode, a hidden Markov process observer is addressed. By virtue of the hidden Markov model with partly unidentified detection probabilities, an asynchronous OFC law is formulated. By establishing a novel Lyapunov-Krasovskii functional with a singular perturbation parameter and a nonhomogeneous Markov process, a sufficient condition is exploited to guarantee the stochastic stability of the resulting system, and the solution for the asynchronous controller is portrayed. Eventually, the validity of the attained methodology is expressed through a practical example.
在本研究中，针对一类Takagi-Sugeno模糊奇异摄动系统，探讨了输出反馈控制（OFC）策略设计问题。为减轻通信负载并提高信号传输的可靠性，提出了一种新型随机通信协议（SCP）。具体而言，SCP基于非齐次马尔可夫链进行调度，其时变转移概率矩阵由基于多面体结构的集合表征。与现有的齐次马尔可夫SCP不同，非齐次马尔可夫SCP以更合理的方式描述数据传输。为检测实际网络模式，提出了一种隐马尔可夫过程观测器。借助具有部分未知检测概率的隐马尔可夫模型，制定了一种异步OFC律。通过建立具有奇异摄动参数和非齐次马尔可夫过程的新型Lyapunov-Krasovskii泛函，利用一个充分条件来保证所得系统的随机稳定性，并给出了异步控制器的解。最后，通过一个实际例子验证了所提方法的有效性。
