Zhang Linchuang, Sun Yonghui, Wu Zheng-Guang, Shen Mouquan, Pan Yingnan
IEEE Trans Cybern. 2024 Dec;54(12):7307-7319. doi: 10.1109/TCYB.2024.3468608. Epub 2024 Nov 27.
This article proposes the two-layer asynchronous control scheme for a class of networked nonlinear jump systems. For the constructed system in a network environment, the data transmission may suffer from many restrictions, such as incomplete acceptable mode information and transition information, nonlinearity of system and inadequate bandwidth resources, etc. Then, the two-layer asynchronous controller is developed to stabilize the plant constructed by Takagi-Sugeno (T-S) fuzzy method and semi-Markov theory (SMT). Herein, the hidden semi-Markov process with time-varying emission probability is introduced to establish the relation between the system modes and the controller modes, in which the interval segmentation method is presented to deal with this time-varying probability. Compared with some published results, this method can make full use of the transition rate information, which may lead to the reduction of conservatism in the proposed asynchronous control design. At the same time, the limited bandwidth problem in the communication channel is addressed by introducing the bilateral quantization strategy, and the new sufficient conditions are derived on the stochastic stability of the nonlinear jump system with/without incomplete transition and sojourn-time information. Finally, the numerical simulation examples about DC motor illustrate the effectiveness and the feasibility of the proposed approach.
本文针对一类网络化非线性跳跃系统提出了两层异步控制方案。对于网络环境中构建的系统，数据传输可能会受到许多限制，如可接受模式信息和转移信息不完整、系统非线性以及带宽资源不足等。然后，开发了两层异步控制器，以稳定由高木-关野（T-S）模糊方法和半马尔可夫理论（SMT）构建的对象。在此，引入具有时变发射概率的隐半马尔可夫过程来建立系统模式与控制器模式之间的关系，其中提出了区间分割方法来处理这种时变概率。与一些已发表的结果相比，该方法可以充分利用转移率信息，这可能会降低所提出的异步控制设计中的保守性。同时，通过引入双边量化策略解决了通信通道中的有限带宽问题，并推导了具有/不具有不完整转移和驻留时间信息的非线性跳跃系统随机稳定性的新充分条件。最后，关于直流电动机的数值仿真例子说明了所提方法的有效性和可行性。
