This article focuses on the adaptive tracking control problem for a class of interconnected nonlinear stochastic systems under full‐state constraints based on the hybrid threshold strategy. Different from the existing works, we propose a novel pre‐constrained tracking control algorithm to deal with the full‐state constraint problem. First, a novel nonlinear transformation function and a new coordinate transformation are developed to constrain state variables, which can directly cope with asymmetric state constraints. Second, the hybrid threshold strategy is constructed to provide a reasonable way in balancing system performance and communication constraints. By the use of dynamic surface control technique and neural network approximate technique, a smooth pre‐constrained tracking controller with adaptive laws is designed for the interconnected nonlinear stochastic systems. Moreover, based on the Lyapunov stability theory, it is proved that all state variables are successfully pre‐constrained within asymmetric boundaries. Finally, a simulation example is presented to verify the effectiveness of proposed control algorithm.

中文翻译：

---

具有混合阈值策略的全状态约束非线性随机系统自适应跟踪控制

本文重点研究基于混合阈值策略的一类互连全状态约束下的非线性随机系统的自适应跟踪控制问题。与现有工作不同，我们提出了一种新颖的预约束跟踪控制算法来处理全状态约束问题。首先，开发了一种新颖的非线性变换函数和新的坐标变换来约束状态变量，这些变量可以直接应对不对称状态约束。其次，构建混合阈值策略以提供一种合理的方式来平衡系统性能和通信约束。通过使用动态表面控制技术和神经网络近似技术，针对互连的非线性随机系统设计了具有自适应律的平滑预约束跟踪控制器。此外，基于Lyapunov稳定性理论，证明了所有状态变量都已成功地预约束在非对称边界内。最后，通过仿真实例验证了所提控制算法的有效性。